- Fri Jan 21, 2011 12:00 am
#22737
Complete Question Explanation
Must Be True-SN. The correct answer choice is (D)
This stimulus provides the conditional statement, “a society with no laws has no crimes.” This statement, and its contrapositive, can be diagrammed as follows:
Statement: no laws → no crimes
Contrapositive: crimes → laws (that is, a society with crimes has laws)
Among the answer choices, only one will reflect a valid inference based on these conditional diagrams.
Answer choice (A): This answer choice gives us the following, flawed statement:
laws → crimes
This statement is clearly a Mistaken Negation of the statement from the stimulus, so this answer choice is incorrect.
Answer choice (B): This answer choice is also incorrect, providing the following:
no crimes → no laws
This statement provides a Mistaken Reversal of the conditional statement from the stimulus. It is interesting to note that this MR is the exact contrapositive of the MN provided by incorrect answer choice (A).
Answer choice (C): This incorrect answer choice can be diagrammed as follows:
many laws → many crimes
This reflects neither a Mistaken Reversal nor a Mistaken Negation, but it is not supported by the information in the stimulus, so this answer choice is incorrect.
Answer choice (D): This is the correct answer choice, and can be diagrammed as follows: crimes → laws
This statement clearly reflects the contrapositive of the statement from the stimulus, as discussed above.
Answer choice (E): Like incorrect answer choice (C) above, this choice is unsupported by the stimulus. It would be diagrammed as follows: many crimes → many laws
This statement is not proved by the stimulus, so this answer choice is incorrect.
Must Be True-SN. The correct answer choice is (D)
This stimulus provides the conditional statement, “a society with no laws has no crimes.” This statement, and its contrapositive, can be diagrammed as follows:
Statement: no laws → no crimes
Contrapositive: crimes → laws (that is, a society with crimes has laws)
Among the answer choices, only one will reflect a valid inference based on these conditional diagrams.
Answer choice (A): This answer choice gives us the following, flawed statement:
laws → crimes
This statement is clearly a Mistaken Negation of the statement from the stimulus, so this answer choice is incorrect.
Answer choice (B): This answer choice is also incorrect, providing the following:
no crimes → no laws
This statement provides a Mistaken Reversal of the conditional statement from the stimulus. It is interesting to note that this MR is the exact contrapositive of the MN provided by incorrect answer choice (A).
Answer choice (C): This incorrect answer choice can be diagrammed as follows:
many laws → many crimes
This reflects neither a Mistaken Reversal nor a Mistaken Negation, but it is not supported by the information in the stimulus, so this answer choice is incorrect.
Answer choice (D): This is the correct answer choice, and can be diagrammed as follows: crimes → laws
This statement clearly reflects the contrapositive of the statement from the stimulus, as discussed above.
Answer choice (E): Like incorrect answer choice (C) above, this choice is unsupported by the stimulus. It would be diagrammed as follows: many crimes → many laws
This statement is not proved by the stimulus, so this answer choice is incorrect.