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An "ex ante" forecasting model is one which A. Includes only contemporaneous values of variables on the RHS B. Includes only contemporaneous and previous values of variables on the RHS C. Includes only previous values of variables on the RHS D. Includes only contemporaneous values of exogenous variables on the RHS
[ { "content": "An \"ex ante\" forecasting model is one which\nA. Includes only contemporaneous values of variables on the RHS\nB. Includes only contemporaneous and previous values of variables on the RHS\nC. Includes only previous values of variables on the RHS\nD. Includes only contemporaneous values of exogenous variables on the RHS ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "An \"ex ante\" forecasting model is one which\nA. Includes only contemporaneous values of variables on the RHS\nB. Includes only contemporaneous and previous values of variables on the RHS\nC. Includes only previous values of variables on the RHS\nD. Includes only contemporaneous values of exogenous variables on the RHS ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "An \"ex ante\" forecasting model is one which\nA. Includes only contemporaneous values of variables on the RHS\nB. Includes only contemporaneous and previous values of variables on the RHS\nC. Includes only previous values of variables on the RHS\nD. Includes only contemporaneous values of exogenous variables on the RHS ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
If a researcher uses daily data to examine a particular problem and creates a variable that assigns a numerical value of 1 to Monday observations, what term would best describe this type of number? A. Continuous B. Cardinal C. Ordinal D. Nominal
[ { "content": "If a researcher uses daily data to examine a particular problem and creates a variable that assigns a numerical value of 1 to Monday observations, what term would best describe this type of number?\nA. Continuous\nB. Cardinal\nC. Ordinal\nD. Nominal ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "If a researcher uses daily data to examine a particular problem and creates a variable that assigns a numerical value of 1 to Monday observations, what term would best describe this type of number?\nA. Continuous\nB. Cardinal\nC. Ordinal\nD. Nominal ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "If a researcher uses daily data to examine a particular problem and creates a variable that assigns a numerical value of 1 to Monday observations, what term would best describe this type of number?\nA. Continuous\nB. Cardinal\nC. Ordinal\nD. Nominal ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Consider the following MA(3) process yt = μ + Εt + θ1Εt-1 + θ2Εt-2 + θ3Εt-3 , where σt is a zero mean white noise process with variance σ2. Which of the following statements are true? i) The process yt has zero mean ii) The autocorrelation function will have a zero value at lag 5 iii) The process yt has variance σ2 iv) The autocorrelation function will have a value of one at lag 0 A. (ii) and (iv) only B. (i) and (iii) only C. (i), (ii), and (iii) only D. (i), (ii), (iii), and (iv)
[ { "content": "Consider the following MA(3) process\n\nyt = μ + Εt + θ1Εt-1 + θ2Εt-2 + θ3Εt-3 , where σt is a zero mean white noise process with variance σ2.\n\nWhich of the following statements are true?\n\ni) The process yt has zero mean\n\nii) The autocorrelation function will have a zero value at lag 5\n\niii) The process yt has variance σ2\n\niv) The autocorrelation function will have a value of one at lag 0\nA. (ii) and (iv) only\nB. (i) and (iii) only\nC. (i), (ii), and (iii) only\nD. (i), (ii), (iii), and (iv) ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Consider the following MA(3) process\n\nyt = μ + Εt + θ1Εt-1 + θ2Εt-2 + θ3Εt-3 , where σt is a zero mean white noise process with variance σ2.\n\nWhich of the following statements are true?\n\ni) The process yt has zero mean\n\nii) The autocorrelation function will have a zero value at lag 5\n\niii) The process yt has variance σ2\n\niv) The autocorrelation function will have a value of one at lag 0\nA. (ii) and (iv) only\nB. (i) and (iii) only\nC. (i), (ii), and (iii) only\nD. (i), (ii), (iii), and (iv) ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Consider the following MA(3) process\n\nyt = μ + Εt + θ1Εt-1 + θ2Εt-2 + θ3Εt-3 , where σt is a zero mean white noise process with variance σ2.\n\nWhich of the following statements are true?\n\ni) The process yt has zero mean\n\nii) The autocorrelation function will have a zero value at lag 5\n\niii) The process yt has variance σ2\n\niv) The autocorrelation function will have a value of one at lag 0\nA. (ii) and (iv) only\nB. (i) and (iii) only\nC. (i), (ii), and (iii) only\nD. (i), (ii), (iii), and (iv) ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
A leptokurtic distribution is one which A. Has fatter tails and a smaller mean than a normal distribution with the same mean and variance B. Has fatter tails and is more peaked at the mean than a normal distribution with the same mean and variance C. Has thinner tails and is more peaked at the mean than a normal distribution with the same mean and variance D. Has thinner tails than a normal distribution and is skewed.
[ { "content": "A leptokurtic distribution is one which\nA. Has fatter tails and a smaller mean than a normal distribution with the same mean and variance\nB. Has fatter tails and is more peaked at the mean than a normal distribution with the same mean and variance\nC. Has thinner tails and is more peaked at the mean than a normal distribution with the same mean and variance\nD. Has thinner tails than a normal distribution and is skewed. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "A leptokurtic distribution is one which\nA. Has fatter tails and a smaller mean than a normal distribution with the same mean and variance\nB. Has fatter tails and is more peaked at the mean than a normal distribution with the same mean and variance\nC. Has thinner tails and is more peaked at the mean than a normal distribution with the same mean and variance\nD. Has thinner tails than a normal distribution and is skewed. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A leptokurtic distribution is one which\nA. Has fatter tails and a smaller mean than a normal distribution with the same mean and variance\nB. Has fatter tails and is more peaked at the mean than a normal distribution with the same mean and variance\nC. Has thinner tails and is more peaked at the mean than a normal distribution with the same mean and variance\nD. Has thinner tails than a normal distribution and is skewed. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Near multicollinearity occurs when A. Two or more explanatory variables are perfectly correlated with one another B. The explanatory variables are highly correlated with the error term C. The explanatory variables are highly correlated with the dependent variable D. Two or more explanatory variables are highly correlated with one another
[ { "content": "Near multicollinearity occurs when\nA. Two or more explanatory variables are perfectly correlated with one another\nB. The explanatory variables are highly correlated with the error term\nC. The explanatory variables are highly correlated with the dependent variable\nD. Two or more explanatory variables are highly correlated with one another ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Near multicollinearity occurs when\nA. Two or more explanatory variables are perfectly correlated with one another\nB. The explanatory variables are highly correlated with the error term\nC. The explanatory variables are highly correlated with the dependent variable\nD. Two or more explanatory variables are highly correlated with one another ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Near multicollinearity occurs when\nA. Two or more explanatory variables are perfectly correlated with one another\nB. The explanatory variables are highly correlated with the error term\nC. The explanatory variables are highly correlated with the dependent variable\nD. Two or more explanatory variables are highly correlated with one another ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Consider the following time series model applied to daily data: where rt are the returns, and D1, D2, D3 and D4 are dummy variables. D1 = 1 on Monday and zero otherwise; D2 = 1 on Tuesday and zero otherwise, ..., D4 = 1 on Thursday and zero otherwise. What is the interpretation of the parameter estimate for the intercept? A. It is the average return on Friday B. It is the average return on Monday C. It is the Friday deviation from the mean return for the week D. It is the Monday deviation from the mean return for the week.
[ { "content": "Consider the following time series model applied to daily data:\n\n\n\nwhere rt are the returns, and D1, D2, D3 and D4 are dummy variables. D1 = 1 on Monday and zero otherwise; D2 = 1 on Tuesday and zero otherwise, ..., D4 = 1 on Thursday and zero otherwise. What is the interpretation of the parameter estimate for the intercept?\nA. It is the average return on Friday\nB. It is the average return on Monday\nC. It is the Friday deviation from the mean return for the week\nD. It is the Monday deviation from the mean return for the week. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Consider the following time series model applied to daily data:\n\n\n\nwhere rt are the returns, and D1, D2, D3 and D4 are dummy variables. D1 = 1 on Monday and zero otherwise; D2 = 1 on Tuesday and zero otherwise, ..., D4 = 1 on Thursday and zero otherwise. What is the interpretation of the parameter estimate for the intercept?\nA. It is the average return on Friday\nB. It is the average return on Monday\nC. It is the Friday deviation from the mean return for the week\nD. It is the Monday deviation from the mean return for the week. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Consider the following time series model applied to daily data:\n\n\n\nwhere rt are the returns, and D1, D2, D3 and D4 are dummy variables. D1 = 1 on Monday and zero otherwise; D2 = 1 on Tuesday and zero otherwise, ..., D4 = 1 on Thursday and zero otherwise. What is the interpretation of the parameter estimate for the intercept?\nA. It is the average return on Friday\nB. It is the average return on Monday\nC. It is the Friday deviation from the mean return for the week\nD. It is the Monday deviation from the mean return for the week. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Which of the following statements are true concerning the class of ARIMA(p,d,q) models? (i) The "I" stands for independent (ii) An ARIMA(p,1,q) model estimated on a series of logs of prices is equivalent to an ARIMA(p,0,q) model estimated on a set of continuously compounded returns (iii) It is plausible for financial time series that the optimal value of d could be 2 or 3. (iv) The estimation of ARIMA models is incompatible with the notion of cointegration A. (ii) and (iv) only B. (i) and (iii) only C. (i), (ii), and (iii) only D. (i), (ii), (iii), and (iv)
[ { "content": "Which of the following statements are true concerning the class of ARIMA(p,d,q) models?\n\n(i) The \"I\" stands for independent\n\n(ii) An ARIMA(p,1,q) model estimated on a series of logs of prices is equivalent to an ARIMA(p,0,q) model estimated on a set of continuously compounded returns\n\n(iii) It is plausible for financial time series that the optimal value of d could be 2 or 3.\n\n(iv) The estimation of ARIMA models is incompatible with the notion of cointegration\nA. (ii) and (iv) only\nB. (i) and (iii) only\nC. (i), (ii), and (iii) only\nD. (i), (ii), (iii), and (iv) ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Which of the following statements are true concerning the class of ARIMA(p,d,q) models?\n\n(i) The \"I\" stands for independent\n\n(ii) An ARIMA(p,1,q) model estimated on a series of logs of prices is equivalent to an ARIMA(p,0,q) model estimated on a set of continuously compounded returns\n\n(iii) It is plausible for financial time series that the optimal value of d could be 2 or 3.\n\n(iv) The estimation of ARIMA models is incompatible with the notion of cointegration\nA. (ii) and (iv) only\nB. (i) and (iii) only\nC. (i), (ii), and (iii) only\nD. (i), (ii), (iii), and (iv) ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which of the following statements are true concerning the class of ARIMA(p,d,q) models?\n\n(i) The \"I\" stands for independent\n\n(ii) An ARIMA(p,1,q) model estimated on a series of logs of prices is equivalent to an ARIMA(p,0,q) model estimated on a set of continuously compounded returns\n\n(iii) It is plausible for financial time series that the optimal value of d could be 2 or 3.\n\n(iv) The estimation of ARIMA models is incompatible with the notion of cointegration\nA. (ii) and (iv) only\nB. (i) and (iii) only\nC. (i), (ii), and (iii) only\nD. (i), (ii), (iii), and (iv) ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
If the residuals from a regression estimated using a small sample of data are not normally distributed, which one of the following consequences may arise? A. The coefficient estimates will be unbiased but inconsistent B. The coefficient estimates will be biased but consistent C. The coefficient estimates will be biased and inconsistent D. Test statistics concerning the parameters will not follow their assumed distributions.
[ { "content": "If the residuals from a regression estimated using a small sample of data are not normally distributed, which one of the following consequences may arise?\nA. The coefficient estimates will be unbiased but inconsistent\nB. The coefficient estimates will be biased but consistent\nC. The coefficient estimates will be biased and inconsistent\nD. Test statistics concerning the parameters will not follow their assumed distributions. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "If the residuals from a regression estimated using a small sample of data are not normally distributed, which one of the following consequences may arise?\nA. The coefficient estimates will be unbiased but inconsistent\nB. The coefficient estimates will be biased but consistent\nC. The coefficient estimates will be biased and inconsistent\nD. Test statistics concerning the parameters will not follow their assumed distributions. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "If the residuals from a regression estimated using a small sample of data are not normally distributed, which one of the following consequences may arise?\nA. The coefficient estimates will be unbiased but inconsistent\nB. The coefficient estimates will be biased but consistent\nC. The coefficient estimates will be biased and inconsistent\nD. Test statistics concerning the parameters will not follow their assumed distributions. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
If a threshold autoregressive (TAR) model is termed a "SETAR", what must be true about it? A. It must follow a Markov process B. The model must contain only two regimes C. The state-determining variable must be the variable being modelled D. The number of lagged variables on the RHS of the equations for each regime must be the same
[ { "content": "If a threshold autoregressive (TAR) model is termed a \"SETAR\", what must be true about it?\nA. It must follow a Markov process\nB. The model must contain only two regimes\nC. The state-determining variable must be the variable being modelled\nD. The number of lagged variables on the RHS of the equations for each regime must be the same ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "If a threshold autoregressive (TAR) model is termed a \"SETAR\", what must be true about it?\nA. It must follow a Markov process\nB. The model must contain only two regimes\nC. The state-determining variable must be the variable being modelled\nD. The number of lagged variables on the RHS of the equations for each regime must be the same ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "If a threshold autoregressive (TAR) model is termed a \"SETAR\", what must be true about it?\nA. It must follow a Markov process\nB. The model must contain only two regimes\nC. The state-determining variable must be the variable being modelled\nD. The number of lagged variables on the RHS of the equations for each regime must be the same ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A 4 pole lap wound dc generator has 4 brushes, if one of the brush is damaged, what will be the change in V, I and P ratings A. V, I and P B. V/2, I/2 and P/4 C. V/2, I and P/2 D. V, I/2 and P/2
[ { "content": "A 4 pole lap wound dc generator has 4 brushes, if one of the brush is damaged, what will be the change in V, I and P ratings\nA. V, I and P\nB. V/2, I/2 and P/4\nC. V/2, I and P/2\nD. V, I/2 and P/2 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "A 4 pole lap wound dc generator has 4 brushes, if one of the brush is damaged, what will be the change in V, I and P ratings\nA. V, I and P\nB. V/2, I/2 and P/4\nC. V/2, I and P/2\nD. V, I/2 and P/2 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A 4 pole lap wound dc generator has 4 brushes, if one of the brush is damaged, what will be the change in V, I and P ratings\nA. V, I and P\nB. V/2, I/2 and P/4\nC. V/2, I and P/2\nD. V, I/2 and P/2 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
No load saturation characteristics are plotted between A. no load voltage and field current B. no load voltage and armature current C. short circuit current and field current D. short circuit current and armature current
[ { "content": "No load saturation characteristics are plotted between\nA. no load voltage and field current\nB. no load voltage and armature current\nC. short circuit current and field current\nD. short circuit current and armature current ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "No load saturation characteristics are plotted between\nA. no load voltage and field current\nB. no load voltage and armature current\nC. short circuit current and field current\nD. short circuit current and armature current ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "No load saturation characteristics are plotted between\nA. no load voltage and field current\nB. no load voltage and armature current\nC. short circuit current and field current\nD. short circuit current and armature current ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
When checked with an ohm meter an open resistor reads A. high but within tolerance. B. low but not zero. C. zero. D. infinite.
[ { "content": "When checked with an ohm meter an open resistor reads\nA. high but within tolerance.\nB. low but not zero.\nC. zero.\nD. infinite. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "When checked with an ohm meter an open resistor reads\nA. high but within tolerance.\nB. low but not zero.\nC. zero.\nD. infinite. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "When checked with an ohm meter an open resistor reads\nA. high but within tolerance.\nB. low but not zero.\nC. zero.\nD. infinite. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Which one of the following is not a vectored interrupt? A. TRAP. B. RST 7.5. C. RST 6.5. D. INTR.
[ { "content": "Which one of the following is not a vectored interrupt?\nA. TRAP.\nB. RST 7.5.\nC. RST 6.5.\nD. INTR. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Which one of the following is not a vectored interrupt?\nA. TRAP.\nB. RST 7.5.\nC. RST 6.5.\nD. INTR. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which one of the following is not a vectored interrupt?\nA. TRAP.\nB. RST 7.5.\nC. RST 6.5.\nD. INTR. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
In AC circuits, the connection of measuring instruments cause loading effect errors which may effect A. only the magnitude of the quantity being measured. B. only phase of the quantity being measured. C. both of above. D. magnitude, phase and waveform of the quantity being measured.
[ { "content": "In AC circuits, the connection of measuring instruments cause loading effect errors which may effect\nA. only the magnitude of the quantity being measured.\nB. only phase of the quantity being measured.\nC. both of above.\nD. magnitude, phase and waveform of the quantity being measured. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "In AC circuits, the connection of measuring instruments cause loading effect errors which may effect\nA. only the magnitude of the quantity being measured.\nB. only phase of the quantity being measured.\nC. both of above.\nD. magnitude, phase and waveform of the quantity being measured. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "In AC circuits, the connection of measuring instruments cause loading effect errors which may effect\nA. only the magnitude of the quantity being measured.\nB. only phase of the quantity being measured.\nC. both of above.\nD. magnitude, phase and waveform of the quantity being measured. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
If a circuit consists of two mass elements, two spring elements and four friction elements. Find the order of transfer function? A. 2 B. 4 C. 6 D. 12
[ { "content": "If a circuit consists of two mass elements, two spring elements and four friction elements. Find the order of transfer function?\nA. 2\nB. 4\nC. 6\nD. 12 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "If a circuit consists of two mass elements, two spring elements and four friction elements. Find the order of transfer function?\nA. 2\nB. 4\nC. 6\nD. 12 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "If a circuit consists of two mass elements, two spring elements and four friction elements. Find the order of transfer function?\nA. 2\nB. 4\nC. 6\nD. 12 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
A capacitor carries a charge of 0.1 C at 5 V. Its capacitance is A. 0.02 F B. 0.5 F C. 0.05 F D. 0.2 F
[ { "content": "A capacitor carries a charge of 0.1 C at 5 V. Its capacitance is\nA. 0.02 F\nB. 0.5 F\nC. 0.05 F\nD. 0.2 F ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "A capacitor carries a charge of 0.1 C at 5 V. Its capacitance is\nA. 0.02 F\nB. 0.5 F\nC. 0.05 F\nD. 0.2 F ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A capacitor carries a charge of 0.1 C at 5 V. Its capacitance is\nA. 0.02 F\nB. 0.5 F\nC. 0.05 F\nD. 0.2 F ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Inside a hollow conducting sphere A. electric field is zero. B. electric field is a non zero constant. C. electric field changes with magnitude of the charge given to the conductor. D. electric field changes with distance from the center of the sphere.
[ { "content": "Inside a hollow conducting sphere\nA. electric field is zero.\nB. electric field is a non zero constant.\nC. electric field changes with magnitude of the charge given to the conductor.\nD. electric field changes with distance from the center of the sphere. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Inside a hollow conducting sphere\nA. electric field is zero.\nB. electric field is a non zero constant.\nC. electric field changes with magnitude of the charge given to the conductor.\nD. electric field changes with distance from the center of the sphere. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Inside a hollow conducting sphere\nA. electric field is zero.\nB. electric field is a non zero constant.\nC. electric field changes with magnitude of the charge given to the conductor.\nD. electric field changes with distance from the center of the sphere. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
What will be the total flux emitted by a source of 60 candle power? A. 754.2 lumens. B. 0.001326 lumens. C. 60 lumens. D. None of these.
[ { "content": "What will be the total flux emitted by a source of 60 candle power?\nA. 754.2 lumens.\nB. 0.001326 lumens.\nC. 60 lumens.\nD. None of these. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "What will be the total flux emitted by a source of 60 candle power?\nA. 754.2 lumens.\nB. 0.001326 lumens.\nC. 60 lumens.\nD. None of these. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "What will be the total flux emitted by a source of 60 candle power?\nA. 754.2 lumens.\nB. 0.001326 lumens.\nC. 60 lumens.\nD. None of these. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
For audio frequency applications, the popular oscillator used is A. Wien bridge oscillator B. Hartley oscillator C. Crystal oscillator D. Phase shift oscillator
[ { "content": "For audio frequency applications, the popular oscillator used is\nA. Wien bridge oscillator\nB. Hartley oscillator\nC. Crystal oscillator\nD. Phase shift oscillator ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "For audio frequency applications, the popular oscillator used is\nA. Wien bridge oscillator\nB. Hartley oscillator\nC. Crystal oscillator\nD. Phase shift oscillator ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "For audio frequency applications, the popular oscillator used is\nA. Wien bridge oscillator\nB. Hartley oscillator\nC. Crystal oscillator\nD. Phase shift oscillator ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Which number system has a base of 16 A. Decimal B. Octal C. Hexadecimal D. None
[ { "content": "Which number system has a base of 16\nA. Decimal\nB. Octal\nC. Hexadecimal\nD. None ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Which number system has a base of 16\nA. Decimal\nB. Octal\nC. Hexadecimal\nD. None ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which number system has a base of 16\nA. Decimal\nB. Octal\nC. Hexadecimal\nD. None ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A motor has a thermal heating time constant of 50 mm. When the motor runs continuous of full scale, its final temperature rise is 80° C, what would be the temperature rise after 1 hour, if the motor runs continuously on full load? A. 55.9° C. B. 58° C. C. 56° C. D. 60° C.
[ { "content": "A motor has a thermal heating time constant of 50 mm. When the motor runs continuous of full scale, its final temperature rise is 80° C, what would be the temperature rise after 1 hour, if the motor runs continuously on full load?\nA. 55.9° C.\nB. 58° C.\nC. 56° C.\nD. 60° C. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "A motor has a thermal heating time constant of 50 mm. When the motor runs continuous of full scale, its final temperature rise is 80° C, what would be the temperature rise after 1 hour, if the motor runs continuously on full load?\nA. 55.9° C.\nB. 58° C.\nC. 56° C.\nD. 60° C. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A motor has a thermal heating time constant of 50 mm. When the motor runs continuous of full scale, its final temperature rise is 80° C, what would be the temperature rise after 1 hour, if the motor runs continuously on full load?\nA. 55.9° C.\nB. 58° C.\nC. 56° C.\nD. 60° C. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Which of the following is/are the advantages of a closed loop control system? A. The closed loop systems are accurate. B. The closed loop systems are less affected by noise. C. both A and B. D. nether A nor B.
[ { "content": "Which of the following is/are the advantages of a closed loop control system?\nA. The closed loop systems are accurate.\nB. The closed loop systems are less affected by noise.\nC. both A and B.\nD. nether A nor B. ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Which of the following is/are the advantages of a closed loop control system?\nA. The closed loop systems are accurate.\nB. The closed loop systems are less affected by noise.\nC. both A and B.\nD. nether A nor B. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which of the following is/are the advantages of a closed loop control system?\nA. The closed loop systems are accurate.\nB. The closed loop systems are less affected by noise.\nC. both A and B.\nD. nether A nor B. ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A digital circuit that can store on bit is a A. XOR gate B. flip-flop C. gate D. registor
[ { "content": "A digital circuit that can store on bit is a\nA. XOR gate\nB. flip-flop\nC. gate\nD. registor ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "A digital circuit that can store on bit is a\nA. XOR gate\nB. flip-flop\nC. gate\nD. registor ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A digital circuit that can store on bit is a\nA. XOR gate\nB. flip-flop\nC. gate\nD. registor ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
A combinational PLD with a programmable AND array and a fixed OR array is called a A. PLD B. PROM C. PAL D. PLA
[ { "content": "A combinational PLD with a programmable AND array and a fixed OR array is called a\nA. PLD\nB. PROM\nC. PAL\nD. PLA ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "A combinational PLD with a programmable AND array and a fixed OR array is called a\nA. PLD\nB. PROM\nC. PAL\nD. PLA ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A combinational PLD with a programmable AND array and a fixed OR array is called a\nA. PLD\nB. PROM\nC. PAL\nD. PLA ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
For dielectric heating the range of frequency normally employed is A. 10 KHz to 100 KHz. B. 100 KHz to 10 MHz. C. 1 MHz to 10 MHz. D. 10 MHz to 40 MHz.
[ { "content": "For dielectric heating the range of frequency normally employed is\nA. 10 KHz to 100 KHz.\nB. 100 KHz to 10 MHz.\nC. 1 MHz to 10 MHz.\nD. 10 MHz to 40 MHz. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "For dielectric heating the range of frequency normally employed is\nA. 10 KHz to 100 KHz.\nB. 100 KHz to 10 MHz.\nC. 1 MHz to 10 MHz.\nD. 10 MHz to 40 MHz. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "For dielectric heating the range of frequency normally employed is\nA. 10 KHz to 100 KHz.\nB. 100 KHz to 10 MHz.\nC. 1 MHz to 10 MHz.\nD. 10 MHz to 40 MHz. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Colton and his dad bought a gallon of paint that cost $13. They also bought 2 brushes that cost $9 each. What was the total cost, not including tax, of the brushes and the paint they bought? A. $22 B. $24 C. $31 D. $35
[ { "content": "Colton and his dad bought a gallon of paint that cost $13. They also bought 2 brushes that cost $9 each. What was the total cost, not including tax, of the brushes and the paint they bought?\nA. $22 \nB. $24 \nC. $31 \nD. $35 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Colton and his dad bought a gallon of paint that cost $13. They also bought 2 brushes that cost $9 each. What was the total cost, not including tax, of the brushes and the paint they bought?\nA. $22 \nB. $24 \nC. $31 \nD. $35 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Colton and his dad bought a gallon of paint that cost $13. They also bought 2 brushes that cost $9 each. What was the total cost, not including tax, of the brushes and the paint they bought?\nA. $22 \nB. $24 \nC. $31 \nD. $35 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Solve for y. y – 2 + 3y = 10 A. 2 B. 3 C. 4 D. 5
[ { "content": "Solve for y. y – 2 + 3y = 10\nA. 2\nB. 3\nC. 4\nD. 5 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Solve for y. y – 2 + 3y = 10\nA. 2\nB. 3\nC. 4\nD. 5 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Solve for y. y – 2 + 3y = 10\nA. 2\nB. 3\nC. 4\nD. 5 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Solve 3 over 2 * w = 66. A. 33 B. 44 C. 88 D. 99
[ { "content": "Solve 3 over 2 * w = 66.\nA. 33\nB. 44\nC. 88\nD. 99 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Solve 3 over 2 * w = 66.\nA. 33\nB. 44\nC. 88\nD. 99 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Solve 3 over 2 * w = 66.\nA. 33\nB. 44\nC. 88\nD. 99 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Wendy wants to take a survey to determine which flavor of ice cream is the most popular at her school. Which of the following methods is the best way for her to choose a random sample of the students at her school? A. selecting ten students from each homeroom B. selecting members of the girls’ softball team C. selecting members of the boys’ basketball team D. selecting students who like her favorite flavor of ice cream
[ { "content": "Wendy wants to take a survey to determine which flavor of ice cream is the most popular at her school. Which of the following methods is the best way for her to choose a random sample of the students at her school?\nA. selecting ten students from each homeroom\nB. selecting members of the girls’ softball team\nC. selecting members of the boys’ basketball team\nD. selecting students who like her favorite flavor of ice cream ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Wendy wants to take a survey to determine which flavor of ice cream is the most popular at her school. Which of the following methods is the best way for her to choose a random sample of the students at her school?\nA. selecting ten students from each homeroom\nB. selecting members of the girls’ softball team\nC. selecting members of the boys’ basketball team\nD. selecting students who like her favorite flavor of ice cream ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Wendy wants to take a survey to determine which flavor of ice cream is the most popular at her school. Which of the following methods is the best way for her to choose a random sample of the students at her school?\nA. selecting ten students from each homeroom\nB. selecting members of the girls’ softball team\nC. selecting members of the boys’ basketball team\nD. selecting students who like her favorite flavor of ice cream ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Write 5.875 as a mixed number or fraction in simplest form. A. 5 and 8 over 9 B. 5 and 7 over 8 C. 7 over 8 D. 5 and 87 over 105
[ { "content": "Write 5.875 as a mixed number or fraction in simplest form.\nA. 5 and 8 over 9\nB. 5 and 7 over 8\nC. 7 over 8\nD. 5 and 87 over 105 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Write 5.875 as a mixed number or fraction in simplest form.\nA. 5 and 8 over 9\nB. 5 and 7 over 8\nC. 7 over 8\nD. 5 and 87 over 105 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Write 5.875 as a mixed number or fraction in simplest form.\nA. 5 and 8 over 9\nB. 5 and 7 over 8\nC. 7 over 8\nD. 5 and 87 over 105 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Solve the equation 124 = m + 34. A. 158 B. 90 C. 88 D. 4,216
[ { "content": "Solve the equation 124 = m + 34.\nA. 158\nB. 90\nC. 88\nD. 4,216 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Solve the equation 124 = m + 34.\nA. 158\nB. 90\nC. 88\nD. 4,216 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Solve the equation 124 = m + 34.\nA. 158\nB. 90\nC. 88\nD. 4,216 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma. Which expression represents the amount of change Zelma should receive? A. p - 20 B. 20 - 40p C. 20 - 0.40p D. 0.40p - 20
[ { "content": "Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma. Which expression represents the amount of change Zelma should receive?\nA. p - 20\nB. 20 - 40p\nC. 20 - 0.40p\nD. 0.40p - 20 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma. Which expression represents the amount of change Zelma should receive?\nA. p - 20\nB. 20 - 40p\nC. 20 - 0.40p\nD. 0.40p - 20 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma. Which expression represents the amount of change Zelma should receive?\nA. p - 20\nB. 20 - 40p\nC. 20 - 0.40p\nD. 0.40p - 20 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Celia has a large container in which four different kinds of coins are thoroughly mixed. She wants to take a sample of her coins to estimate which kind of coin she has the most. Which of the following methods is the best way for her to select a sample? A. taking one coin from the container B. taking coins until she has one of every kind C. taking ten coins of each type from the container D. taking thirty coins out of the container without looking
[ { "content": "Celia has a large container in which four different kinds of coins are thoroughly mixed. She wants to take a sample of her coins to estimate which kind of coin she has the most. Which of the following methods is the best way for her to select a sample?\nA. taking one coin from the container\nB. taking coins until she has one of every kind\nC. taking ten coins of each type from the container\nD. taking thirty coins out of the container without looking ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Celia has a large container in which four different kinds of coins are thoroughly mixed. She wants to take a sample of her coins to estimate which kind of coin she has the most. Which of the following methods is the best way for her to select a sample?\nA. taking one coin from the container\nB. taking coins until she has one of every kind\nC. taking ten coins of each type from the container\nD. taking thirty coins out of the container without looking ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Celia has a large container in which four different kinds of coins are thoroughly mixed. She wants to take a sample of her coins to estimate which kind of coin she has the most. Which of the following methods is the best way for her to select a sample?\nA. taking one coin from the container\nB. taking coins until she has one of every kind\nC. taking ten coins of each type from the container\nD. taking thirty coins out of the container without looking ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
In which situation can the expression 64 + 8 be used? A. There are 8 buses with 64 students on each bus. B. Ms. Vance has 8 pens and 64 pencils in a container. C. There are 64 books in a bookcase and 8 booksare removed. D. Mr. Juarez has 64 cups and puts an equal numberon each of 8 tables.
[ { "content": "In which situation can the expression 64 + 8 be used?\nA. There are 8 buses with 64 students on each bus.\nB. Ms. Vance has 8 pens and 64 pencils in a container.\nC. There are 64 books in a bookcase and 8 booksare removed.\nD. Mr. Juarez has 64 cups and puts an equal numberon each of 8 tables. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "In which situation can the expression 64 + 8 be used?\nA. There are 8 buses with 64 students on each bus.\nB. Ms. Vance has 8 pens and 64 pencils in a container.\nC. There are 64 books in a bookcase and 8 booksare removed.\nD. Mr. Juarez has 64 cups and puts an equal numberon each of 8 tables. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "In which situation can the expression 64 + 8 be used?\nA. There are 8 buses with 64 students on each bus.\nB. Ms. Vance has 8 pens and 64 pencils in a container.\nC. There are 64 books in a bookcase and 8 booksare removed.\nD. Mr. Juarez has 64 cups and puts an equal numberon each of 8 tables. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Which expression is equivalent to (5 + 2) x 8? A. (8 x 5) + (8 x 2) B. (5 x 8) + (5x 2) C. 8 x (5x2) D. (5x8)x2
[ { "content": "Which expression is equivalent to (5 + 2) x 8?\nA. (8 x 5) + (8 x 2)\nB. (5 x 8) + (5x 2)\nC. 8 x (5x2)\nD. (5x8)x2 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Which expression is equivalent to (5 + 2) x 8?\nA. (8 x 5) + (8 x 2)\nB. (5 x 8) + (5x 2)\nC. 8 x (5x2)\nD. (5x8)x2 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which expression is equivalent to (5 + 2) x 8?\nA. (8 x 5) + (8 x 2)\nB. (5 x 8) + (5x 2)\nC. 8 x (5x2)\nD. (5x8)x2 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored? A. 17 B. 35 C. 52 D. 70
[ { "content": "The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored?\nA. 17\nB. 35\nC. 52\nD. 70 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored?\nA. 17\nB. 35\nC. 52\nD. 70 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored?\nA. 17\nB. 35\nC. 52\nD. 70 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Which method can be used to solve 11 x 13? A. Multiply 11 x 10 and 10 x 3, then add the two products. B. Multiply 11 x 10 and 11 x 3, then add the two products. C. Multiply 11 x 100 and 10 x 3, then add the two products. D. Multiply 11 x 100 and 11 x 3, then add the two products.
[ { "content": "Which method can be used to solve 11 x 13?\nA. Multiply 11 x 10 and 10 x 3, then add the two products.\nB. Multiply 11 x 10 and 11 x 3, then add the two products.\nC. Multiply 11 x 100 and 10 x 3, then add the two products.\nD. Multiply 11 x 100 and 11 x 3, then add the two products. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Which method can be used to solve 11 x 13?\nA. Multiply 11 x 10 and 10 x 3, then add the two products.\nB. Multiply 11 x 10 and 11 x 3, then add the two products.\nC. Multiply 11 x 100 and 10 x 3, then add the two products.\nD. Multiply 11 x 100 and 11 x 3, then add the two products. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which method can be used to solve 11 x 13?\nA. Multiply 11 x 10 and 10 x 3, then add the two products.\nB. Multiply 11 x 10 and 11 x 3, then add the two products.\nC. Multiply 11 x 100 and 10 x 3, then add the two products.\nD. Multiply 11 x 100 and 11 x 3, then add the two products. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Wendy bought 30 packs of gum. Each pack had 5 pieces. She multiplied 30 × 5 to find the number of pieces of gum she bought. How many pieces of gum did Wendy buy? A. 15 B. 35 C. 150 D. 305
[ { "content": "Wendy bought 30 packs of gum. Each pack had 5 pieces. She multiplied 30 × 5 to find the number of pieces of gum she bought. How many pieces of gum did Wendy buy?\nA. 15\nB. 35\nC. 150\nD. 305 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Wendy bought 30 packs of gum. Each pack had 5 pieces. She multiplied 30 × 5 to find the number of pieces of gum she bought. How many pieces of gum did Wendy buy?\nA. 15\nB. 35\nC. 150\nD. 305 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Wendy bought 30 packs of gum. Each pack had 5 pieces. She multiplied 30 × 5 to find the number of pieces of gum she bought. How many pieces of gum did Wendy buy?\nA. 15\nB. 35\nC. 150\nD. 305 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Jan scored 3 more points in the basketball game than Salah. Cindy scored 22 points, which was twice as many points as Jan. How many points did Salah score? A. 8 B. 11 C. 14 D. 19
[ { "content": "Jan scored 3 more points in the basketball game than Salah. Cindy scored 22 points, which was twice as many points as Jan. How many points did Salah score?\nA. 8\nB. 11\nC. 14\nD. 19 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Jan scored 3 more points in the basketball game than Salah. Cindy scored 22 points, which was twice as many points as Jan. How many points did Salah score?\nA. 8\nB. 11\nC. 14\nD. 19 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Jan scored 3 more points in the basketball game than Salah. Cindy scored 22 points, which was twice as many points as Jan. How many points did Salah score?\nA. 8\nB. 11\nC. 14\nD. 19 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
The ticket prices to a play are $5.00 for teachers and $3.00 for students. How much will it cost for a group of 71 students and 5 teachers to see the play? A. $228.00 B. $238.00 C. $370.00 D. $380.00
[ { "content": "The ticket prices to a play are $5.00 for teachers and $3.00 for students. How much will it cost for a group of 71 students and 5 teachers to see the play?\nA. $228.00 \nB. $238.00 \nC. $370.00 \nD. $380.00 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "The ticket prices to a play are $5.00 for teachers and $3.00 for students. How much will it cost for a group of 71 students and 5 teachers to see the play?\nA. $228.00 \nB. $238.00 \nC. $370.00 \nD. $380.00 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "The ticket prices to a play are $5.00 for teachers and $3.00 for students. How much will it cost for a group of 71 students and 5 teachers to see the play?\nA. $228.00 \nB. $238.00 \nC. $370.00 \nD. $380.00 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Use the equation below to answer the question. 0.75 × 6.5 = m Which expression shows one way to solve the equation? A. 75 × 65 ÷ 1,000 B. 75 × 650 ÷ 1,000 C. 0.7 × 6 + 0.7 × 5 + 0.5 × 6 + 0.5 × 5 D. 0.7 × 6 + 0.7 × 0.5 + 0.5 × 6 + 0.5 × 0.5
[ { "content": "Use the equation below to answer the question. 0.75 × 6.5 = m Which expression shows one way to solve the equation?\nA. 75 × 65 ÷ 1,000\nB. 75 × 650 ÷ 1,000\nC. 0.7 × 6 + 0.7 × 5 + 0.5 × 6 + 0.5 × 5\nD. 0.7 × 6 + 0.7 × 0.5 + 0.5 × 6 + 0.5 × 0.5 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Use the equation below to answer the question. 0.75 × 6.5 = m Which expression shows one way to solve the equation?\nA. 75 × 65 ÷ 1,000\nB. 75 × 650 ÷ 1,000\nC. 0.7 × 6 + 0.7 × 5 + 0.5 × 6 + 0.5 × 5\nD. 0.7 × 6 + 0.7 × 0.5 + 0.5 × 6 + 0.5 × 0.5 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Use the equation below to answer the question. 0.75 × 6.5 = m Which expression shows one way to solve the equation?\nA. 75 × 65 ÷ 1,000\nB. 75 × 650 ÷ 1,000\nC. 0.7 × 6 + 0.7 × 5 + 0.5 × 6 + 0.5 × 5\nD. 0.7 × 6 + 0.7 × 0.5 + 0.5 × 6 + 0.5 × 0.5 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1. How many tablespoons of salt does Debnil have? A. 18-Jan B. 2-Jan C. 2 D. 18
[ { "content": "Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1. How many tablespoons of salt does Debnil have?\nA. 18-Jan\nB. 2-Jan\nC. 2\nD. 18 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1. How many tablespoons of salt does Debnil have?\nA. 18-Jan\nB. 2-Jan\nC. 2\nD. 18 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1. How many tablespoons of salt does Debnil have?\nA. 18-Jan\nB. 2-Jan\nC. 2\nD. 18 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A scientist measured the diameters of four human hairs. The diameters, in millimeters, were 0.091, 0.169, 0.17, and 0.023. Which inequality correctly compares the diameters of two of the human hairs? A. 0.17 > 0.023 B. 0.091 < 0.023 C. 0.169 > 0.17 D. 0.17 < 0.091
[ { "content": "A scientist measured the diameters of four human hairs. The diameters, in millimeters, were 0.091, 0.169, 0.17, and 0.023. Which inequality correctly compares the diameters of two of the human hairs?\nA. 0.17 > 0.023\nB. 0.091 < 0.023\nC. 0.169 > 0.17\nD. 0.17 < 0.091 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "A scientist measured the diameters of four human hairs. The diameters, in millimeters, were 0.091, 0.169, 0.17, and 0.023. Which inequality correctly compares the diameters of two of the human hairs?\nA. 0.17 > 0.023\nB. 0.091 < 0.023\nC. 0.169 > 0.17\nD. 0.17 < 0.091 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A scientist measured the diameters of four human hairs. The diameters, in millimeters, were 0.091, 0.169, 0.17, and 0.023. Which inequality correctly compares the diameters of two of the human hairs?\nA. 0.17 > 0.023\nB. 0.091 < 0.023\nC. 0.169 > 0.17\nD. 0.17 < 0.091 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
There are 7 days in a week. In the month of February, there are 28 days this year. How many times as many days are there in February than are in one week? A. 4 times B. 7 times C. 21 times D. 35 times
[ { "content": "There are 7 days in a week. In the month of February, there are 28 days this year. How many times as many days are there in February than are in one week?\nA. 4 times\nB. 7 times\nC. 21 times\nD. 35 times ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "There are 7 days in a week. In the month of February, there are 28 days this year. How many times as many days are there in February than are in one week?\nA. 4 times\nB. 7 times\nC. 21 times\nD. 35 times ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "There are 7 days in a week. In the month of February, there are 28 days this year. How many times as many days are there in February than are in one week?\nA. 4 times\nB. 7 times\nC. 21 times\nD. 35 times ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Solve −2k = −34.8. A. −69.6 B. −17.4 C. 17.4 D. 69.6
[ { "content": "Solve −2k = −34.8.\nA. −69.6\nB. −17.4\nC. 17.4\nD. 69.6 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Solve −2k = −34.8.\nA. −69.6\nB. −17.4\nC. 17.4\nD. 69.6 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Solve −2k = −34.8.\nA. −69.6\nB. −17.4\nC. 17.4\nD. 69.6 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Frankie’s baseball team scored 16 runs in a game. Max’s baseball team scored 8 runs in a game. Which statement about the number of runs scored by Frankie’s and Max’s baseball teams is true? A. Frankie’s team scored 2 times as many runs as Max’s team because 16 = 2 × 8. B. Frankie’s team scored 2 times as many runs as Max’s team because 8 = 2 × 16. C. Max’s team scored 2 times as many runs as Frankie’s team because 16 = 2 × 8. D. Max’s team scored 2 times as many runs as Frankie’s team because 8 = 2 × 16.
[ { "content": "Frankie’s baseball team scored 16 runs in a game. Max’s baseball team scored 8 runs in a game. Which statement about the number of runs scored by Frankie’s and Max’s baseball teams is true?\nA. Frankie’s team scored 2 times as many runs as Max’s team because 16 = 2 × 8.\nB. Frankie’s team scored 2 times as many runs as Max’s team because 8 = 2 × 16.\nC. Max’s team scored 2 times as many runs as Frankie’s team because 16 = 2 × 8.\nD. Max’s team scored 2 times as many runs as Frankie’s team because 8 = 2 × 16. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Frankie’s baseball team scored 16 runs in a game. Max’s baseball team scored 8 runs in a game. Which statement about the number of runs scored by Frankie’s and Max’s baseball teams is true?\nA. Frankie’s team scored 2 times as many runs as Max’s team because 16 = 2 × 8.\nB. Frankie’s team scored 2 times as many runs as Max’s team because 8 = 2 × 16.\nC. Max’s team scored 2 times as many runs as Frankie’s team because 16 = 2 × 8.\nD. Max’s team scored 2 times as many runs as Frankie’s team because 8 = 2 × 16. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Frankie’s baseball team scored 16 runs in a game. Max’s baseball team scored 8 runs in a game. Which statement about the number of runs scored by Frankie’s and Max’s baseball teams is true?\nA. Frankie’s team scored 2 times as many runs as Max’s team because 16 = 2 × 8.\nB. Frankie’s team scored 2 times as many runs as Max’s team because 8 = 2 × 16.\nC. Max’s team scored 2 times as many runs as Frankie’s team because 16 = 2 × 8.\nD. Max’s team scored 2 times as many runs as Frankie’s team because 8 = 2 × 16. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Mr. Carson drove 1,027 miles in April. He drove 988 miles in May. Mr. Carson used the expression below to find how many more miles he drove in April than in May. 1,027 – 988 How many more miles did Mr. Carson drive in April than in May? A. 39 miles B. 139 miles C. 161 miles D. 1,961 miles
[ { "content": "Mr. Carson drove 1,027 miles in April. He drove 988 miles in May. Mr. Carson used the expression below to find how many more miles he drove in April than in May. 1,027 – 988 How many more miles did Mr. Carson drive in April than in May?\nA. 39 miles\nB. 139 miles\nC. 161 miles\nD. 1,961 miles ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Mr. Carson drove 1,027 miles in April. He drove 988 miles in May. Mr. Carson used the expression below to find how many more miles he drove in April than in May. 1,027 – 988 How many more miles did Mr. Carson drive in April than in May?\nA. 39 miles\nB. 139 miles\nC. 161 miles\nD. 1,961 miles ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Mr. Carson drove 1,027 miles in April. He drove 988 miles in May. Mr. Carson used the expression below to find how many more miles he drove in April than in May. 1,027 – 988 How many more miles did Mr. Carson drive in April than in May?\nA. 39 miles\nB. 139 miles\nC. 161 miles\nD. 1,961 miles ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Collin spent 7 hours volunteering last month. Vanessa spent 21 hours volunteering last month. Which equation correctly shows how many times more hours Vanessa spent volunteering last month than Collin? A. 7 × 3 = 21 B. 7 × 14 = 21 C. 21 × 3 = 63 D. 21 × 7 = 147
[ { "content": "Collin spent 7 hours volunteering last month. Vanessa spent 21 hours volunteering last month. Which equation correctly shows how many times more hours Vanessa spent volunteering last month than Collin?\nA. 7 × 3 = 21\nB. 7 × 14 = 21\nC. 21 × 3 = 63\nD. 21 × 7 = 147 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Collin spent 7 hours volunteering last month. Vanessa spent 21 hours volunteering last month. Which equation correctly shows how many times more hours Vanessa spent volunteering last month than Collin?\nA. 7 × 3 = 21\nB. 7 × 14 = 21\nC. 21 × 3 = 63\nD. 21 × 7 = 147 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Collin spent 7 hours volunteering last month. Vanessa spent 21 hours volunteering last month. Which equation correctly shows how many times more hours Vanessa spent volunteering last month than Collin?\nA. 7 × 3 = 21\nB. 7 × 14 = 21\nC. 21 × 3 = 63\nD. 21 × 7 = 147 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue? A. p<9 B. p>9 C. p<37 D. p>37
[ { "content": "George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue?\nA. p<9\nB. p>9\nC. p<37\nD. p>37 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue?\nA. p<9\nB. p>9\nC. p<37\nD. p>37 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue?\nA. p<9\nB. p>9\nC. p<37\nD. p>37 ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
What is the square of 15? A. 15 B. 15-Jan C. 225 D. 256
[ { "content": "What is the square of 15?\nA. 15\nB. 15-Jan\nC. 225\nD. 256 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "What is the square of 15?\nA. 15\nB. 15-Jan\nC. 225\nD. 256 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "What is the square of 15?\nA. 15\nB. 15-Jan\nC. 225\nD. 256 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Which expression is equivalent to 4 x 9? A. (4x 4) + (4x5) B. (4+4) x (4+5) C. (4+4)+(4+5) D. (4x 4) x (4x5)
[ { "content": "Which expression is equivalent to 4 x 9?\nA. (4x 4) + (4x5)\nB. (4+4) x (4+5)\nC. (4+4)+(4+5)\nD. (4x 4) x (4x5) ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Which expression is equivalent to 4 x 9?\nA. (4x 4) + (4x5)\nB. (4+4) x (4+5)\nC. (4+4)+(4+5)\nD. (4x 4) x (4x5) ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which expression is equivalent to 4 x 9?\nA. (4x 4) + (4x5)\nB. (4+4) x (4+5)\nC. (4+4)+(4+5)\nD. (4x 4) x (4x5) ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Whatis the total number of pennies, rounded to the nearest hundred, Carmen and her sister have left? A. 300 B. 500 C. 700 D. 1,000
[ { "content": "Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Whatis the total number of pennies, rounded to the nearest hundred, Carmen and her sister have left?\nA. 300\nB. 500\nC. 700\nD. 1,000 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Whatis the total number of pennies, rounded to the nearest hundred, Carmen and her sister have left?\nA. 300\nB. 500\nC. 700\nD. 1,000 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Whatis the total number of pennies, rounded to the nearest hundred, Carmen and her sister have left?\nA. 300\nB. 500\nC. 700\nD. 1,000 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
The expression –105 + (–14) + 34 simplifies to which of the following? A. –57 B. –75 C. –85 D. 143
[ { "content": "The expression –105 + (–14) + 34 simplifies to which of the following?\nA. –57\nB. –75\nC. –85\nD. 143 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "The expression –105 + (–14) + 34 simplifies to which of the following?\nA. –57\nB. –75\nC. –85\nD. 143 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "The expression –105 + (–14) + 34 simplifies to which of the following?\nA. –57\nB. –75\nC. –85\nD. 143 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Solve the equation 29 = x − 17. A. 12 B. −12 C. −46 D. 46
[ { "content": "Solve the equation 29 = x − 17.\nA. 12\nB. −12\nC. −46\nD. 46 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Solve the equation 29 = x − 17.\nA. 12\nB. −12\nC. −46\nD. 46 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Solve the equation 29 = x − 17.\nA. 12\nB. −12\nC. −46\nD. 46 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
What is the greatest common divisor of 54, 36, and 24? A. 2 B. 3 C. 6 D. 9
[ { "content": "What is the greatest common divisor of 54, 36, and 24?\nA. 2\nB. 3\nC. 6\nD. 9 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "What is the greatest common divisor of 54, 36, and 24?\nA. 2\nB. 3\nC. 6\nD. 9 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "What is the greatest common divisor of 54, 36, and 24?\nA. 2\nB. 3\nC. 6\nD. 9 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
If 50% of a number is 20, what is 75% of the number? A. 8 B. 15 C. 30 D. 45
[ { "content": "If 50% of a number is 20, what is 75% of the number?\nA. 8\nB. 15\nC. 30\nD. 45 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "If 50% of a number is 20, what is 75% of the number?\nA. 8\nB. 15\nC. 30\nD. 45 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "If 50% of a number is 20, what is 75% of the number?\nA. 8\nB. 15\nC. 30\nD. 45 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A librarian receives two boxes of booksfor the library. The first box has 136 books. The second box has 58 fewer books than the first box. What is the total number of books the librarian receives? A. 58 B. 78 C. 194 D. 214
[ { "content": "A librarian receives two boxes of booksfor the library. The first box has 136 books. The second box has 58 fewer books than the first box. What is the total number of books the librarian receives?\nA. 58\nB. 78\nC. 194\nD. 214 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "A librarian receives two boxes of booksfor the library. The first box has 136 books. The second box has 58 fewer books than the first box. What is the total number of books the librarian receives?\nA. 58\nB. 78\nC. 194\nD. 214 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A librarian receives two boxes of booksfor the library. The first box has 136 books. The second box has 58 fewer books than the first box. What is the total number of books the librarian receives?\nA. 58\nB. 78\nC. 194\nD. 214 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Use rounding to estimate the product of 8.2 • 6.43 to the nearest whole number. A. 48 B. 56 C. 62 D. 24
[ { "content": "Use rounding to estimate the product of 8.2 • 6.43 to the nearest whole number.\nA. 48\nB. 56\nC. 62\nD. 24 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Use rounding to estimate the product of 8.2 • 6.43 to the nearest whole number.\nA. 48\nB. 56\nC. 62\nD. 24 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Use rounding to estimate the product of 8.2 • 6.43 to the nearest whole number.\nA. 48\nB. 56\nC. 62\nD. 24 ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Residents of a small city voted on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4,400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center? A. 20% B. 25% C. 40% D. 44%
[ { "content": "Residents of a small city voted on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4,400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center?\nA. 20%\nB. 25%\nC. 40%\nD. 44% ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Residents of a small city voted on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4,400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center?\nA. 20%\nB. 25%\nC. 40%\nD. 44% ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Residents of a small city voted on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4,400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center?\nA. 20%\nB. 25%\nC. 40%\nD. 44% ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Which situation can be solved using the expression 21 / 3? A. finding the number of shirts when there are 3 groups of 21 shirts B. finding the number of dresses when 21 more dresses are placed on a rack with 3 dresses C. finding the number of jackets left over when 3 out of 21 jackets are sold D. finding the number of skirts on each rack when a total of 21 skirts are placed equally on 3 racks
[ { "content": "Which situation can be solved using the expression 21 / 3?\nA. finding the number of shirts when there are 3 groups of 21 shirts\nB. finding the number of dresses when 21 more dresses are placed on a rack with 3 dresses\nC. finding the number of jackets left over when 3 out of 21 jackets are sold\nD. finding the number of skirts on each rack when a total of 21 skirts are placed equally on 3 racks ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Which situation can be solved using the expression 21 / 3?\nA. finding the number of shirts when there are 3 groups of 21 shirts\nB. finding the number of dresses when 21 more dresses are placed on a rack with 3 dresses\nC. finding the number of jackets left over when 3 out of 21 jackets are sold\nD. finding the number of skirts on each rack when a total of 21 skirts are placed equally on 3 racks ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which situation can be solved using the expression 21 / 3?\nA. finding the number of shirts when there are 3 groups of 21 shirts\nB. finding the number of dresses when 21 more dresses are placed on a rack with 3 dresses\nC. finding the number of jackets left over when 3 out of 21 jackets are sold\nD. finding the number of skirts on each rack when a total of 21 skirts are placed equally on 3 racks ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Dr. Sperline is ordering a chemical for his students to use in an experiment. He knows that each student will need to use 0.797 grams of magnesium in the first step of the experiment and 0.892 grams in a later step. He uses front-end estimation with an adjustment to figure out the approximate amount of magnesium needed by each student. What is his estimate? A. 1.4 g B. 1.7 g C. 1.6 g D. 1.5 g
[ { "content": "Dr. Sperline is ordering a chemical for his students to use in an experiment. He knows that each student will need to use 0.797 grams of magnesium in the first step of the experiment and 0.892 grams in a later step. He uses front-end estimation with an adjustment to figure out the approximate amount of magnesium needed by each student. What is his estimate?\nA. 1.4 g\nB. 1.7 g\nC. 1.6 g\nD. 1.5 g ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Dr. Sperline is ordering a chemical for his students to use in an experiment. He knows that each student will need to use 0.797 grams of magnesium in the first step of the experiment and 0.892 grams in a later step. He uses front-end estimation with an adjustment to figure out the approximate amount of magnesium needed by each student. What is his estimate?\nA. 1.4 g\nB. 1.7 g\nC. 1.6 g\nD. 1.5 g ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Dr. Sperline is ordering a chemical for his students to use in an experiment. He knows that each student will need to use 0.797 grams of magnesium in the first step of the experiment and 0.892 grams in a later step. He uses front-end estimation with an adjustment to figure out the approximate amount of magnesium needed by each student. What is his estimate?\nA. 1.4 g\nB. 1.7 g\nC. 1.6 g\nD. 1.5 g ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
What is the value of |3 + 5| – |-4|? A. 12 B. -4 C. 4 D. 12
[ { "content": "What is the value of |3 + 5| – |-4|?\nA. 12\nB. -4\nC. 4\nD. 12 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "What is the value of |3 + 5| – |-4|?\nA. 12\nB. -4\nC. 4\nD. 12 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "What is the value of |3 + 5| – |-4|?\nA. 12\nB. -4\nC. 4\nD. 12 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Dawn needs to fix windows in her house. She must buy 3 feet of wood, which costs $7 per foot. She also needs to buy 4 pieces of glass. Each piece of glass costs $23. What will be the total cost for fixing the windows? A. $30 B. $90 C. $113 D. $176
[ { "content": "Dawn needs to fix windows in her house. She must buy 3 feet of wood, which costs $7 per foot. She also needs to buy 4 pieces of glass. Each piece of glass costs $23. What will be the total cost for fixing the windows?\nA. $30 \nB. $90 \nC. $113 \nD. $176 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Dawn needs to fix windows in her house. She must buy 3 feet of wood, which costs $7 per foot. She also needs to buy 4 pieces of glass. Each piece of glass costs $23. What will be the total cost for fixing the windows?\nA. $30 \nB. $90 \nC. $113 \nD. $176 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Dawn needs to fix windows in her house. She must buy 3 feet of wood, which costs $7 per foot. She also needs to buy 4 pieces of glass. Each piece of glass costs $23. What will be the total cost for fixing the windows?\nA. $30 \nB. $90 \nC. $113 \nD. $176 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday. 24% of the students purchased their lunch. 190 students brought their lunch from home. How many students are in the sixth grade? A. 76 B. 166 C. 214 D. 250
[ { "content": "All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday. 24% of the students purchased their lunch. 190 students brought their lunch from home. How many students are in the sixth grade?\nA. 76\nB. 166\nC. 214\nD. 250 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday. 24% of the students purchased their lunch. 190 students brought their lunch from home. How many students are in the sixth grade?\nA. 76\nB. 166\nC. 214\nD. 250 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday. 24% of the students purchased their lunch. 190 students brought their lunch from home. How many students are in the sixth grade?\nA. 76\nB. 166\nC. 214\nD. 250 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
What is the rule for the pattern? 41, 38, 35, 32, 29,... A. divide by 3 B. divide by 4 C. subtract 3 D. subtract 4
[ { "content": "What is the rule for the pattern? 41, 38, 35, 32, 29,...\nA. divide by 3\nB. divide by 4\nC. subtract 3\nD. subtract 4 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "What is the rule for the pattern? 41, 38, 35, 32, 29,...\nA. divide by 3\nB. divide by 4\nC. subtract 3\nD. subtract 4 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "What is the rule for the pattern? 41, 38, 35, 32, 29,...\nA. divide by 3\nB. divide by 4\nC. subtract 3\nD. subtract 4 ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
What is x if 3 x = 84 ? A. 20 B. 21 C. 26 D. 28
[ { "content": "What is x if 3 x = 84 ?\nA. 20\nB. 21\nC. 26\nD. 28 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "What is x if 3 x = 84 ?\nA. 20\nB. 21\nC. 26\nD. 28 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "What is x if 3 x = 84 ?\nA. 20\nB. 21\nC. 26\nD. 28 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Identify the antecedent of the following conditional proposition: If the Bees win their first game, then neither the Aardvarks nor the Chipmunks win their first games. A. The Aardvarks do not win their first game. B. The Bees win their first game. C. The Chipmunks do not win their first game. D. Neither the Aardvarks nor the Chipmunks win their first games.
[ { "content": "Identify the antecedent of the following conditional proposition: If the Bees win their first game, then neither the Aardvarks nor the Chipmunks win their first games.\nA. The Aardvarks do not win their first game.\nB. The Bees win their first game.\nC. The Chipmunks do not win their first game.\nD. Neither the Aardvarks nor the Chipmunks win their first games. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Identify the antecedent of the following conditional proposition: If the Bees win their first game, then neither the Aardvarks nor the Chipmunks win their first games.\nA. The Aardvarks do not win their first game.\nB. The Bees win their first game.\nC. The Chipmunks do not win their first game.\nD. Neither the Aardvarks nor the Chipmunks win their first games. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Identify the antecedent of the following conditional proposition: If the Bees win their first game, then neither the Aardvarks nor the Chipmunks win their first games.\nA. The Aardvarks do not win their first game.\nB. The Bees win their first game.\nC. The Chipmunks do not win their first game.\nD. Neither the Aardvarks nor the Chipmunks win their first games. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Which of the given formulas of PL is the best symbolization of the following sentence? Elliott likes to skateboard or he likes to write songs and to play them. A. S ∨ (W • P) B. (S ∨ W) ∨ P C. S • (W ∨ P) D. (S • W) ∨ P
[ { "content": " Which of the given formulas of PL is the best symbolization of the following sentence?\nElliott likes to skateboard or he likes to write songs and to play them.\nA. S ∨ (W • P)\nB. (S ∨ W) ∨ P\nC. S • (W ∨ P)\nD. (S • W) ∨ P ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": " Which of the given formulas of PL is the best symbolization of the following sentence?\nElliott likes to skateboard or he likes to write songs and to play them.\nA. S ∨ (W • P)\nB. (S ∨ W) ∨ P\nC. S • (W ∨ P)\nD. (S • W) ∨ P ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Which of the given formulas of PL is the best symbolization of the following sentence?\nElliott likes to skateboard or he likes to write songs and to play them.\nA. S ∨ (W • P)\nB. (S ∨ W) ∨ P\nC. S • (W ∨ P)\nD. (S • W) ∨ P ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Which of the given formulas of PL is the best symbolization of the following sentence? A married couple can report their combined income and deduct their combined allowable expenses on one return provided that only one had income or they did not live together all year. A. (R • D) ⊃ (I ∨ ~L) B. (I ∨ ~L) ⊃ (R • D) C. R • [(I ⊃ D) ∨ ~L] D. ~(I ∨ L) ⊃ (R • D)
[ { "content": " Which of the given formulas of PL is the best symbolization of the following sentence?\nA married couple can report their combined income and deduct their combined allowable expenses on one return provided that only one had income or they did not live together all year.\nA. (R • D) ⊃ (I ∨ ~L)\nB. (I ∨ ~L) ⊃ (R • D)\nC. R • [(I ⊃ D) ∨ ~L]\nD. ~(I ∨ L) ⊃ (R • D) ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": " Which of the given formulas of PL is the best symbolization of the following sentence?\nA married couple can report their combined income and deduct their combined allowable expenses on one return provided that only one had income or they did not live together all year.\nA. (R • D) ⊃ (I ∨ ~L)\nB. (I ∨ ~L) ⊃ (R • D)\nC. R • [(I ⊃ D) ∨ ~L]\nD. ~(I ∨ L) ⊃ (R • D) ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Which of the given formulas of PL is the best symbolization of the following sentence?\nA married couple can report their combined income and deduct their combined allowable expenses on one return provided that only one had income or they did not live together all year.\nA. (R • D) ⊃ (I ∨ ~L)\nB. (I ∨ ~L) ⊃ (R • D)\nC. R • [(I ⊃ D) ∨ ~L]\nD. ~(I ∨ L) ⊃ (R • D) ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Select the best translation into predicate logic.Some robbers steal money from a bank. (Bx: x is a bank; Mx: x is money; Rx: x is a robber; Sxyz: x steals y from z) A. (∃x){Bx • (∃y)[Ry • (∀z)(Mz ⊃ Syzx)]} B. (∃x)(∃y)(∃z)[(Rx • By) • (Mz • Syxz)] C. (∃x){Rx ⊃ (∃y)[My ⊃ (∃z)(Bz ⊃ Sxyz)]} D. (∃x){Rx • (∃y)[My • (∃z)(Bz • Sxyz)]}
[ { "content": " Select the best translation into predicate logic.Some robbers steal money from a bank. (Bx: x is a bank; Mx: x is money; Rx: x is a robber; Sxyz: x steals y from z)\nA. (∃x){Bx • (∃y)[Ry • (∀z)(Mz ⊃ Syzx)]}\nB. (∃x)(∃y)(∃z)[(Rx • By) • (Mz • Syxz)]\nC. (∃x){Rx ⊃ (∃y)[My ⊃ (∃z)(Bz ⊃ Sxyz)]}\nD. (∃x){Rx • (∃y)[My • (∃z)(Bz • Sxyz)]} ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": " Select the best translation into predicate logic.Some robbers steal money from a bank. (Bx: x is a bank; Mx: x is money; Rx: x is a robber; Sxyz: x steals y from z)\nA. (∃x){Bx • (∃y)[Ry • (∀z)(Mz ⊃ Syzx)]}\nB. (∃x)(∃y)(∃z)[(Rx • By) • (Mz • Syxz)]\nC. (∃x){Rx ⊃ (∃y)[My ⊃ (∃z)(Bz ⊃ Sxyz)]}\nD. (∃x){Rx • (∃y)[My • (∃z)(Bz • Sxyz)]} ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Select the best translation into predicate logic.Some robbers steal money from a bank. (Bx: x is a bank; Mx: x is money; Rx: x is a robber; Sxyz: x steals y from z)\nA. (∃x){Bx • (∃y)[Ry • (∀z)(Mz ⊃ Syzx)]}\nB. (∃x)(∃y)(∃z)[(Rx • By) • (Mz • Syxz)]\nC. (∃x){Rx ⊃ (∃y)[My ⊃ (∃z)(Bz ⊃ Sxyz)]}\nD. (∃x){Rx • (∃y)[My • (∃z)(Bz • Sxyz)]} ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers. ~[(G ⊃ H) ∨ ~H] and ~G ⊃ G A. Logically equivalent B. Contradictory C. Neither logically equivalent nor contradictory, but consistent D. Inconsistent
[ { "content": " Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\n~[(G ⊃ H) ∨ ~H] and ~G ⊃ G\nA. Logically equivalent\nB. Contradictory\nC. Neither logically equivalent nor contradictory, but consistent\nD. Inconsistent ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": " Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\n~[(G ⊃ H) ∨ ~H] and ~G ⊃ G\nA. Logically equivalent\nB. Contradictory\nC. Neither logically equivalent nor contradictory, but consistent\nD. Inconsistent ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\n~[(G ⊃ H) ∨ ~H] and ~G ⊃ G\nA. Logically equivalent\nB. Contradictory\nC. Neither logically equivalent nor contradictory, but consistent\nD. Inconsistent ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.) D ⊃ (~E ⊃ F) ~D ⊃ E ~E / F A. Valid B. Invalid. Counterexample when D and E are true and F is false C. Invalid. Counterexample when D is true and E and F are false D. Invalid. Counterexample when E is true and D and F are false
[ { "content": " Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\nD ⊃ (~E ⊃ F)\n~D ⊃ E\n~E / F\nA. Valid\nB. Invalid. Counterexample when D and E are true and F is false\nC. Invalid. Counterexample when D is true and E and F are false\nD. Invalid. Counterexample when E is true and D and F are false ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": " Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\nD ⊃ (~E ⊃ F)\n~D ⊃ E\n~E / F\nA. Valid\nB. Invalid. Counterexample when D and E are true and F is false\nC. Invalid. Counterexample when D is true and E and F are false\nD. Invalid. Counterexample when E is true and D and F are false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\nD ⊃ (~E ⊃ F)\n~D ⊃ E\n~E / F\nA. Valid\nB. Invalid. Counterexample when D and E are true and F is false\nC. Invalid. Counterexample when D is true and E and F are false\nD. Invalid. Counterexample when E is true and D and F are false ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Select the best English interpretation of the given proposition, using the following translation key: Ax: x is an apartment Hx: x is a house Lx: x is large Bxy: x is bigger than y (∀x){(Lx • Ax) ⊃ (∃y)[(Hy • ~Ly) • Bxy]} A. All large apartments are bigger than all houses that are not large. B. Some house that is not large is bigger than all large apartments. C. Any apartment bigger than a house that is not large is large. D. Every large apartment is bigger than some house that is not large.
[ { "content": " Select the best English interpretation of the given proposition, using the following translation key: Ax: x is an apartment Hx: x is a house Lx: x is large Bxy: x is bigger than y (∀x){(Lx • Ax) ⊃ (∃y)[(Hy • ~Ly) • Bxy]}\nA. All large apartments are bigger than all houses that are not large.\nB. Some house that is not large is bigger than all large apartments.\nC. Any apartment bigger than a house that is not large is large.\nD. Every large apartment is bigger than some house that is not large. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": " Select the best English interpretation of the given proposition, using the following translation key: Ax: x is an apartment Hx: x is a house Lx: x is large Bxy: x is bigger than y (∀x){(Lx • Ax) ⊃ (∃y)[(Hy • ~Ly) • Bxy]}\nA. All large apartments are bigger than all houses that are not large.\nB. Some house that is not large is bigger than all large apartments.\nC. Any apartment bigger than a house that is not large is large.\nD. Every large apartment is bigger than some house that is not large. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Select the best English interpretation of the given proposition, using the following translation key: Ax: x is an apartment Hx: x is a house Lx: x is large Bxy: x is bigger than y (∀x){(Lx • Ax) ⊃ (∃y)[(Hy • ~Ly) • Bxy]}\nA. All large apartments are bigger than all houses that are not large.\nB. Some house that is not large is bigger than all large apartments.\nC. Any apartment bigger than a house that is not large is large.\nD. Every large apartment is bigger than some house that is not large. ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.) (A ∨ B) ∨ C ~C ~A ⊃ B A. Inconsistent B. Consistent. Consistent valuation when A and B are true and C is false C. Consistent. Consistent valuation when A and C are true and B is false D. Consistent. Consistent valuation when B and C are true and A is false
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n(A ∨ B) ∨ C\n~C\n~A ⊃ B\nA. Inconsistent\nB. Consistent. Consistent valuation when A and B are true and C is false\nC. Consistent. Consistent valuation when A and C are true and B is false\nD. Consistent. Consistent valuation when B and C are true and A is false ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n(A ∨ B) ∨ C\n~C\n~A ⊃ B\nA. Inconsistent\nB. Consistent. Consistent valuation when A and B are true and C is false\nC. Consistent. Consistent valuation when A and C are true and B is false\nD. Consistent. Consistent valuation when B and C are true and A is false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n(A ∨ B) ∨ C\n~C\n~A ⊃ B\nA. Inconsistent\nB. Consistent. Consistent valuation when A and B are true and C is false\nC. Consistent. Consistent valuation when A and C are true and B is false\nD. Consistent. Consistent valuation when B and C are true and A is false ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.) ~(J ∨ ~K) L ⊃ M (J ∨ L) ⊃ (K · M) A. Inconsistent B. Consistent. Consistent valuation when J, K, and M are true and L is false C. Consistent. Consistent valuation when L and M are true and J and K are false D. Consistent. Consistent valuation when K and M are true and J and L are false
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n~(J ∨ ~K)\nL ⊃ M\n(J ∨ L) ⊃ (K · M)\nA. Inconsistent\nB. Consistent. Consistent valuation when J, K, and M are true and L is false\nC. Consistent. Consistent valuation when L and M are true and J and K are false\nD. Consistent. Consistent valuation when K and M are true and J and L are false ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n~(J ∨ ~K)\nL ⊃ M\n(J ∨ L) ⊃ (K · M)\nA. Inconsistent\nB. Consistent. Consistent valuation when J, K, and M are true and L is false\nC. Consistent. Consistent valuation when L and M are true and J and K are false\nD. Consistent. Consistent valuation when K and M are true and J and L are false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n~(J ∨ ~K)\nL ⊃ M\n(J ∨ L) ⊃ (K · M)\nA. Inconsistent\nB. Consistent. Consistent valuation when J, K, and M are true and L is false\nC. Consistent. Consistent valuation when L and M are true and J and K are false\nD. Consistent. Consistent valuation when K and M are true and J and L are false ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.) ~E ∨ F ~F / E A. Valid B. Invalid. Counterexample when E and F are true C. Invalid. Counterexample when E is true and F is false D. Invalid. Counterexample when E and F are false
[ { "content": "Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\n~E ∨ F\n~F / E\nA. Valid\nB. Invalid. Counterexample when E and F are true\nC. Invalid. Counterexample when E is true and F is false\nD. Invalid. Counterexample when E and F are false ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\n~E ∨ F\n~F / E\nA. Valid\nB. Invalid. Counterexample when E and F are true\nC. Invalid. Counterexample when E is true and F is false\nD. Invalid. Counterexample when E and F are false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\n~E ∨ F\n~F / E\nA. Valid\nB. Invalid. Counterexample when E and F are true\nC. Invalid. Counterexample when E is true and F is false\nD. Invalid. Counterexample when E and F are false ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.) P ≡ Q ~Q ≡ R R ≡ P S ≡ ~P S ≡ R A. Inconsistent B. Consistent. Consistent valuation when P and Q are true and R and S are false C. Consistent. Consistent valuation when P, Q, R, and S are true D. Consistent. Consistent valuation when R and S are true and P and Q are false
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\nP ≡ Q\n~Q ≡ R\nR ≡ P\nS ≡ ~P\nS ≡ R\nA. Inconsistent\nB. Consistent. Consistent valuation when P and Q are true and R and S are false\nC. Consistent. Consistent valuation when P, Q, R, and S are true\nD. Consistent. Consistent valuation when R and S are true and P and Q are false ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\nP ≡ Q\n~Q ≡ R\nR ≡ P\nS ≡ ~P\nS ≡ R\nA. Inconsistent\nB. Consistent. Consistent valuation when P and Q are true and R and S are false\nC. Consistent. Consistent valuation when P, Q, R, and S are true\nD. Consistent. Consistent valuation when R and S are true and P and Q are false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\nP ≡ Q\n~Q ≡ R\nR ≡ P\nS ≡ ~P\nS ≡ R\nA. Inconsistent\nB. Consistent. Consistent valuation when P and Q are true and R and S are false\nC. Consistent. Consistent valuation when P, Q, R, and S are true\nD. Consistent. Consistent valuation when R and S are true and P and Q are false ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Use indirect truth tables to determine whether the following argument is valid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.) A ⊃ (~B ≡ C) B ≡ D ~C ≡ ~D / ~A A. Valid B. Invalid. Counterexample when A, B, and D are true and C is false C. Invalid. Counterexample when A and B are true and C and D are false D. Invalid. Counterexample when A, C, and D are true and B is false
[ { "content": "Use indirect truth tables to determine whether the following argument is valid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\nA ⊃ (~B ≡ C)\nB ≡ D\n~C ≡ ~D / ~A\nA. Valid\nB. Invalid. Counterexample when A, B, and D are true and C is false\nC. Invalid. Counterexample when A and B are true and C and D are false\nD. Invalid. Counterexample when A, C, and D are true and B is false ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Use indirect truth tables to determine whether the following argument is valid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\nA ⊃ (~B ≡ C)\nB ≡ D\n~C ≡ ~D / ~A\nA. Valid\nB. Invalid. Counterexample when A, B, and D are true and C is false\nC. Invalid. Counterexample when A and B are true and C and D are false\nD. Invalid. Counterexample when A, C, and D are true and B is false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Use indirect truth tables to determine whether the following argument is valid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)\nA ⊃ (~B ≡ C)\nB ≡ D\n~C ≡ ~D / ~A\nA. Valid\nB. Invalid. Counterexample when A, B, and D are true and C is false\nC. Invalid. Counterexample when A and B are true and C and D are false\nD. Invalid. Counterexample when A, C, and D are true and B is false ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers. A ⊃ ~B and B ⊃ A A. Logically equivalent B. Contradictory C. Neither logically equivalent nor contradictory, but consistent D. Inconsistent
[ { "content": " Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\nA ⊃ ~B and B ⊃ A\nA. Logically equivalent\nB. Contradictory\nC. Neither logically equivalent nor contradictory, but consistent\nD. Inconsistent ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": " Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\nA ⊃ ~B and B ⊃ A\nA. Logically equivalent\nB. Contradictory\nC. Neither logically equivalent nor contradictory, but consistent\nD. Inconsistent ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.\nA ⊃ ~B and B ⊃ A\nA. Logically equivalent\nB. Contradictory\nC. Neither logically equivalent nor contradictory, but consistent\nD. Inconsistent ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.) (G ≡ H) ⊃ H ~H ∨ I G · ~I A. Inconsistent B. Consistent. Consistent valuation when G, H, and I are true C. Consistent. Consistent valuation when G and H are true and I is false D. Consistent. Consistent valuation when G is true and H and I are false
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n(G ≡ H) ⊃ H\n~H ∨ I\nG · ~I\nA. Inconsistent\nB. Consistent. Consistent valuation when G, H, and I are true\nC. Consistent. Consistent valuation when G and H are true and I is false\nD. Consistent. Consistent valuation when G is true and H and I are false ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n(G ≡ H) ⊃ H\n~H ∨ I\nG · ~I\nA. Inconsistent\nB. Consistent. Consistent valuation when G, H, and I are true\nC. Consistent. Consistent valuation when G and H are true and I is false\nD. Consistent. Consistent valuation when G is true and H and I are false ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": " Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)\n(G ≡ H) ⊃ H\n~H ∨ I\nG · ~I\nA. Inconsistent\nB. Consistent. Consistent valuation when G, H, and I are true\nC. Consistent. Consistent valuation when G and H are true and I is false\nD. Consistent. Consistent valuation when G is true and H and I are false ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
As of 2014, about what percentage of primary aged children in Sub-Saharan Africa were out-of-school? A. 10% B. 20% C. 35% D. 50%
[ { "content": "As of 2014, about what percentage of primary aged children in Sub-Saharan Africa were out-of-school?\nA. 10%\nB. 20%\nC. 35%\nD. 50% ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "As of 2014, about what percentage of primary aged children in Sub-Saharan Africa were out-of-school?\nA. 10%\nB. 20%\nC. 35%\nD. 50% ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "As of 2014, about what percentage of primary aged children in Sub-Saharan Africa were out-of-school?\nA. 10%\nB. 20%\nC. 35%\nD. 50% ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
There are two billion children in the world today (2020), aged 0 to 15 years old. How many children will there be in the year 2100 according to the United Nations? A. 4 billion B. 3 billion C. 2 billion D. 1 billion
[ { "content": "There are two billion children in the world today (2020), aged 0 to 15 years old. How many children will there be in the year 2100 according to the United Nations?\nA. 4 billion\nB. 3 billion\nC. 2 billion\nD. 1 billion ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "There are two billion children in the world today (2020), aged 0 to 15 years old. How many children will there be in the year 2100 according to the United Nations?\nA. 4 billion\nB. 3 billion\nC. 2 billion\nD. 1 billion ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "There are two billion children in the world today (2020), aged 0 to 15 years old. How many children will there be in the year 2100 according to the United Nations?\nA. 4 billion\nB. 3 billion\nC. 2 billion\nD. 1 billion ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Controlling for inflation and PPP-adjustment, about how much did GDP per capita increase from 1950 to 2016 in India? A. by 4 fold B. by 8 fold C. by 16 fold D. by 32 fold
[ { "content": "Controlling for inflation and PPP-adjustment, about how much did GDP per capita increase from 1950 to 2016 in India?\nA. by 4 fold\nB. by 8 fold\nC. by 16 fold\nD. by 32 fold ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "Controlling for inflation and PPP-adjustment, about how much did GDP per capita increase from 1950 to 2016 in India?\nA. by 4 fold\nB. by 8 fold\nC. by 16 fold\nD. by 32 fold ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Controlling for inflation and PPP-adjustment, about how much did GDP per capita increase from 1950 to 2016 in India?\nA. by 4 fold\nB. by 8 fold\nC. by 16 fold\nD. by 32 fold ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
As of 2020, about what percentage of the population in Sub-Saharan Africa, is living on less than $1.90? A. 10% B. 20% C. 40% D. 80%
[ { "content": "As of 2020, about what percentage of the population in Sub-Saharan Africa, is living on less than $1.90?\nA. 10%\nB. 20%\nC. 40%\nD. 80% ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "As of 2020, about what percentage of the population in Sub-Saharan Africa, is living on less than $1.90?\nA. 10%\nB. 20%\nC. 40%\nD. 80% ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "As of 2020, about what percentage of the population in Sub-Saharan Africa, is living on less than $1.90?\nA. 10%\nB. 20%\nC. 40%\nD. 80% ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
In which of the following country did the largest number of children die under the age of five years in 2017? A. China B. United States C. Indonesia D. Pakistan
[ { "content": "In which of the following country did the largest number of children die under the age of five years in 2017?\nA. China\nB. United States\nC. Indonesia\nD. Pakistan ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "In which of the following country did the largest number of children die under the age of five years in 2017?\nA. China\nB. United States\nC. Indonesia\nD. Pakistan ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "In which of the following country did the largest number of children die under the age of five years in 2017?\nA. China\nB. United States\nC. Indonesia\nD. Pakistan ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Which of the following is true about the global growth rate? A. The global growth rate was four times as high 50 years ago as it is in 2020. B. The global growth rate was two times as high 50 years ago as it is in 2020. C. The global growth rate is two times as high as it is in 2020. D. The global growth rate is four times as high today as it is in 2020.
[ { "content": "Which of the following is true about the global growth rate?\nA. The global growth rate was four times as high 50 years ago as it is in 2020.\nB. The global growth rate was two times as high 50 years ago as it is in 2020.\nC. The global growth rate is two times as high as it is in 2020.\nD. The global growth rate is four times as high today as it is in 2020. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Which of the following is true about the global growth rate?\nA. The global growth rate was four times as high 50 years ago as it is in 2020.\nB. The global growth rate was two times as high 50 years ago as it is in 2020.\nC. The global growth rate is two times as high as it is in 2020.\nD. The global growth rate is four times as high today as it is in 2020. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which of the following is true about the global growth rate?\nA. The global growth rate was four times as high 50 years ago as it is in 2020.\nB. The global growth rate was two times as high 50 years ago as it is in 2020.\nC. The global growth rate is two times as high as it is in 2020.\nD. The global growth rate is four times as high today as it is in 2020. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Most Latin American countries achieved independence A. shortly after World War II B. in the 1960s C. around the time of World War I D. in the early nineteenth century
[ { "content": "Most Latin American countries achieved independence\nA. shortly after World War II\nB. in the 1960s\nC. around the time of World War I\nD. in the early nineteenth century ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Most Latin American countries achieved independence\nA. shortly after World War II\nB. in the 1960s\nC. around the time of World War I\nD. in the early nineteenth century ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Most Latin American countries achieved independence\nA. shortly after World War II\nB. in the 1960s\nC. around the time of World War I\nD. in the early nineteenth century ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
After the Atom bomb how many Americans support giving aid to Japan even at the cost of food shortages? A. 33% B. 50% C. 66% D. 85%
[ { "content": "After the Atom bomb how many Americans support giving aid to Japan even at the cost of food shortages?\nA. 33%\nB. 50%\nC. 66%\nD. 85% ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "After the Atom bomb how many Americans support giving aid to Japan even at the cost of food shortages?\nA. 33%\nB. 50%\nC. 66%\nD. 85% ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "After the Atom bomb how many Americans support giving aid to Japan even at the cost of food shortages?\nA. 33%\nB. 50%\nC. 66%\nD. 85% ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
In 1948 how many Americans believed the Kinsey Report on Sexuality in the Male to be a bad thing? A. 92% B. 64% C. 27% D. 11%
[ { "content": "In 1948 how many Americans believed the Kinsey Report on Sexuality in the Male to be a bad thing?\nA. 92%\nB. 64%\nC. 27%\nD. 11% ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "In 1948 how many Americans believed the Kinsey Report on Sexuality in the Male to be a bad thing?\nA. 92%\nB. 64%\nC. 27%\nD. 11% ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "In 1948 how many Americans believed the Kinsey Report on Sexuality in the Male to be a bad thing?\nA. 92%\nB. 64%\nC. 27%\nD. 11% ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Total global healthcare expenditure is about what percentage of global GDP as of 2017? A. 1% B. 2% C. 5% D. 10%
[ { "content": "Total global healthcare expenditure is about what percentage of global GDP as of 2017?\nA. 1%\nB. 2%\nC. 5%\nD. 10% ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Total global healthcare expenditure is about what percentage of global GDP as of 2017?\nA. 1%\nB. 2%\nC. 5%\nD. 10% ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Total global healthcare expenditure is about what percentage of global GDP as of 2017?\nA. 1%\nB. 2%\nC. 5%\nD. 10% ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
A gradual drop in the water level of a large lake divided it into three smaller lakes. The division separated a single population of fish into three smaller, isolated populations. After many generations it was determined that the three populations of fish had become three separate species. Which of the following is most likely correct about the three species? A. There are differences in the nucleotide sequences of certain gene alleles among the species. B. There are differences in the amino acid specified by each codon among the species. C. There are differences in the type of cleavage that produces the first blastomeres among the species. D. There are differences in the composition of ribosomes among the species.
[ { "content": "A gradual drop in the water level of a large lake divided it into three smaller lakes. The division separated a single population of fish into three smaller, isolated populations. After many generations it was determined that the three populations of fish had become three separate species. Which of the following is most likely correct about the three species?\nA. There are differences in the nucleotide sequences of certain gene alleles among the species.\nB. There are differences in the amino acid specified by each codon among the species.\nC. There are differences in the type of cleavage that produces the first blastomeres among the species.\nD. There are differences in the composition of ribosomes among the species. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
[ { "content": "A gradual drop in the water level of a large lake divided it into three smaller lakes. The division separated a single population of fish into three smaller, isolated populations. After many generations it was determined that the three populations of fish had become three separate species. Which of the following is most likely correct about the three species?\nA. There are differences in the nucleotide sequences of certain gene alleles among the species.\nB. There are differences in the amino acid specified by each codon among the species.\nC. There are differences in the type of cleavage that produces the first blastomeres among the species.\nD. There are differences in the composition of ribosomes among the species. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A gradual drop in the water level of a large lake divided it into three smaller lakes. The division separated a single population of fish into three smaller, isolated populations. After many generations it was determined that the three populations of fish had become three separate species. Which of the following is most likely correct about the three species?\nA. There are differences in the nucleotide sequences of certain gene alleles among the species.\nB. There are differences in the amino acid specified by each codon among the species.\nC. There are differences in the type of cleavage that produces the first blastomeres among the species.\nD. There are differences in the composition of ribosomes among the species. ", "role": "user" }, { "content": "A", "role": "assistant" } ]
1
0
Hawkmoths are insects that are similar in appearance and behavior to hummingbirds. Which of the following is LEAST valid? A. These organisms are examples of convergent evolution. B. These organisms were subjected to similar environmental conditions. C. These organisms are genetically related to each other. D. These organisms have analogous structures.
[ { "content": "Hawkmoths are insects that are similar in appearance and behavior to hummingbirds. Which of the following is LEAST valid?\nA. These organisms are examples of convergent evolution.\nB. These organisms were subjected to similar environmental conditions.\nC. These organisms are genetically related to each other.\nD. These organisms have analogous structures. ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Hawkmoths are insects that are similar in appearance and behavior to hummingbirds. Which of the following is LEAST valid?\nA. These organisms are examples of convergent evolution.\nB. These organisms were subjected to similar environmental conditions.\nC. These organisms are genetically related to each other.\nD. These organisms have analogous structures. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Hawkmoths are insects that are similar in appearance and behavior to hummingbirds. Which of the following is LEAST valid?\nA. These organisms are examples of convergent evolution.\nB. These organisms were subjected to similar environmental conditions.\nC. These organisms are genetically related to each other.\nD. These organisms have analogous structures. ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A cell from the leaf of the aquatic plant Elodea was soaked in a 15 percent sugar solution, and its contents soon separated from the cell wall and formed a mass in the center of the cell. All of the following statements are true about this event EXCEPT A. the vacuole lost water and became smaller B. the space between the cell wall and the cell membrane expanded C. the large vacuole contained a solution with much lower osmotic pressure than that of the sugar solution D. the concentration of solutes in the extracellular environment is hypertonic with respect to the cell's interior
[ { "content": "A cell from the leaf of the aquatic plant Elodea was soaked in a 15 percent sugar solution, and its contents soon separated from the cell wall and formed a mass in the center of the cell. All of the following statements are true about this event EXCEPT\nA. the vacuole lost water and became smaller\nB. the space between the cell wall and the cell membrane expanded\nC. the large vacuole contained a solution with much lower osmotic pressure than that of the sugar solution\nD. the concentration of solutes in the extracellular environment is hypertonic with respect to the cell's interior ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "A cell from the leaf of the aquatic plant Elodea was soaked in a 15 percent sugar solution, and its contents soon separated from the cell wall and formed a mass in the center of the cell. All of the following statements are true about this event EXCEPT\nA. the vacuole lost water and became smaller\nB. the space between the cell wall and the cell membrane expanded\nC. the large vacuole contained a solution with much lower osmotic pressure than that of the sugar solution\nD. the concentration of solutes in the extracellular environment is hypertonic with respect to the cell's interior ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A cell from the leaf of the aquatic plant Elodea was soaked in a 15 percent sugar solution, and its contents soon separated from the cell wall and formed a mass in the center of the cell. All of the following statements are true about this event EXCEPT\nA. the vacuole lost water and became smaller\nB. the space between the cell wall and the cell membrane expanded\nC. the large vacuole contained a solution with much lower osmotic pressure than that of the sugar solution\nD. the concentration of solutes in the extracellular environment is hypertonic with respect to the cell's interior ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
Which of Darwin's ideas had the strongest connection to Darwin having read Malthus's essay on human population growth? A. Descent with modification B. Variation among individuals in a population C. Struggle for existence D. The ability of related species to be conceptualized in "tree thinking"
[ { "content": "Which of Darwin's ideas had the strongest connection to Darwin having read Malthus's essay on human population growth?\nA. Descent with modification\nB. Variation among individuals in a population\nC. Struggle for existence\nD. The ability of related species to be conceptualized in \"tree thinking\" ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "Which of Darwin's ideas had the strongest connection to Darwin having read Malthus's essay on human population growth?\nA. Descent with modification\nB. Variation among individuals in a population\nC. Struggle for existence\nD. The ability of related species to be conceptualized in \"tree thinking\" ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which of Darwin's ideas had the strongest connection to Darwin having read Malthus's essay on human population growth?\nA. Descent with modification\nB. Variation among individuals in a population\nC. Struggle for existence\nD. The ability of related species to be conceptualized in \"tree thinking\" ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
Which of the following does NOT take place in the small intestine? A. Pancreatic lipase breaks down fats to fatty acids and glycerol. B. Pepsin breaks down proteins to amino acids. C. Pancreatic amylase breaks down carbohydrates into simple sugars. D. Bile emulsifies fats into smaller fat particles.
[ { "content": "Which of the following does NOT take place in the small intestine?\nA. Pancreatic lipase breaks down fats to fatty acids and glycerol.\nB. Pepsin breaks down proteins to amino acids.\nC. Pancreatic amylase breaks down carbohydrates into simple sugars.\nD. Bile emulsifies fats into smaller fat particles. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "Which of the following does NOT take place in the small intestine?\nA. Pancreatic lipase breaks down fats to fatty acids and glycerol.\nB. Pepsin breaks down proteins to amino acids.\nC. Pancreatic amylase breaks down carbohydrates into simple sugars.\nD. Bile emulsifies fats into smaller fat particles. ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Which of the following does NOT take place in the small intestine?\nA. Pancreatic lipase breaks down fats to fatty acids and glycerol.\nB. Pepsin breaks down proteins to amino acids.\nC. Pancreatic amylase breaks down carbohydrates into simple sugars.\nD. Bile emulsifies fats into smaller fat particles. ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
In a certain population of squirrels that is in Hardy-Weinberg equilibrium, black color is a recessive phenotype present in 9 percent of the squirrels, and 91 percent are gray. What percentage of the population is homozygous dominant for this trait? A. 21 percent B. 30 percent C. 49 percent D. 70 percent
[ { "content": "In a certain population of squirrels that is in Hardy-Weinberg equilibrium, black color is a recessive phenotype present in 9 percent of the squirrels, and 91 percent are gray. What percentage of the population is homozygous dominant for this trait?\nA. 21 percent\nB. 30 percent\nC. 49 percent\nD. 70 percent ", "role": "user" }, { "content": "C", "role": "assistant" } ]
[ { "content": "In a certain population of squirrels that is in Hardy-Weinberg equilibrium, black color is a recessive phenotype present in 9 percent of the squirrels, and 91 percent are gray. What percentage of the population is homozygous dominant for this trait?\nA. 21 percent\nB. 30 percent\nC. 49 percent\nD. 70 percent ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "In a certain population of squirrels that is in Hardy-Weinberg equilibrium, black color is a recessive phenotype present in 9 percent of the squirrels, and 91 percent are gray. What percentage of the population is homozygous dominant for this trait?\nA. 21 percent\nB. 30 percent\nC. 49 percent\nD. 70 percent ", "role": "user" }, { "content": "C", "role": "assistant" } ]
1
0
A fruit fly population has a gene with two alleles, A1 and A2. Tests show that 70% of the gametes produced in the population contain the A1 allele. If the population is in Hardy-Weinberg equilibrium, what proportion of the flies carry both A1 and A2? A. 0.7 B. 0.49 C. 0.21 D. 0.42
[ { "content": "A fruit fly population has a gene with two alleles, A1 and A2. Tests show that 70% of the gametes produced in the population contain the A1 allele. If the population is in Hardy-Weinberg equilibrium, what proportion of the flies carry both A1 and A2?\nA. 0.7\nB. 0.49\nC. 0.21\nD. 0.42 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "A fruit fly population has a gene with two alleles, A1 and A2. Tests show that 70% of the gametes produced in the population contain the A1 allele. If the population is in Hardy-Weinberg equilibrium, what proportion of the flies carry both A1 and A2?\nA. 0.7\nB. 0.49\nC. 0.21\nD. 0.42 ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "A fruit fly population has a gene with two alleles, A1 and A2. Tests show that 70% of the gametes produced in the population contain the A1 allele. If the population is in Hardy-Weinberg equilibrium, what proportion of the flies carry both A1 and A2?\nA. 0.7\nB. 0.49\nC. 0.21\nD. 0.42 ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
The moist skin of earthworms, spiracles of grasshoppers, and the mucus membranes lining alveoli are all associated with the process of A. excretion B. respiration C. circulation D. digestion
[ { "content": "The moist skin of earthworms, spiracles of grasshoppers, and the mucus membranes lining alveoli are all associated with the process of\nA. excretion\nB. respiration\nC. circulation\nD. digestion ", "role": "user" }, { "content": "B", "role": "assistant" } ]
[ { "content": "The moist skin of earthworms, spiracles of grasshoppers, and the mucus membranes lining alveoli are all associated with the process of\nA. excretion\nB. respiration\nC. circulation\nD. digestion ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "The moist skin of earthworms, spiracles of grasshoppers, and the mucus membranes lining alveoli are all associated with the process of\nA. excretion\nB. respiration\nC. circulation\nD. digestion ", "role": "user" }, { "content": "B", "role": "assistant" } ]
1
0
Metafemale syndrome, a disorder in which a female has an extra X chromosome, is the result of nondisjunction. The failure in oogenesis that could produce this would occur in A. metaphase I B. metaphase II C. telophase I D. anaphase II
[ { "content": "Metafemale syndrome, a disorder in which a female has an extra X chromosome, is the result of nondisjunction. The failure in oogenesis that could produce this would occur in\nA. metaphase I\nB. metaphase II\nC. telophase I\nD. anaphase II ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "Metafemale syndrome, a disorder in which a female has an extra X chromosome, is the result of nondisjunction. The failure in oogenesis that could produce this would occur in\nA. metaphase I\nB. metaphase II\nC. telophase I\nD. anaphase II ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "Metafemale syndrome, a disorder in which a female has an extra X chromosome, is the result of nondisjunction. The failure in oogenesis that could produce this would occur in\nA. metaphase I\nB. metaphase II\nC. telophase I\nD. anaphase II ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0
All of the following statements are correct regarding alleles EXCEPT A. alleles are alternative forms of the same gene B. alleles are found on corresponding loci of homologous chromosomes C. a gene can have more than two alleles D. an individual with two identical alleles is said to be heterozygous with respect to that gene
[ { "content": "All of the following statements are correct regarding alleles EXCEPT\nA. alleles are alternative forms of the same gene\nB. alleles are found on corresponding loci of homologous chromosomes\nC. a gene can have more than two alleles\nD. an individual with two identical alleles is said to be heterozygous with respect to that gene ", "role": "user" }, { "content": "D", "role": "assistant" } ]
[ { "content": "All of the following statements are correct regarding alleles EXCEPT\nA. alleles are alternative forms of the same gene\nB. alleles are found on corresponding loci of homologous chromosomes\nC. a gene can have more than two alleles\nD. an individual with two identical alleles is said to be heterozygous with respect to that gene ", "role": "user" }, { "content": "null", "role": "assistant" } ]
[ { "content": "All of the following statements are correct regarding alleles EXCEPT\nA. alleles are alternative forms of the same gene\nB. alleles are found on corresponding loci of homologous chromosomes\nC. a gene can have more than two alleles\nD. an individual with two identical alleles is said to be heterozygous with respect to that gene ", "role": "user" }, { "content": "D", "role": "assistant" } ]
1
0