SajjadAhmad wrote:
Is p > q?
(i) p² > q
(ii) p³ > q
EG
Target question: Is p greater than q? Statement 1: p² > q This statement doesn't feel sufficient, so I'll TEST some values
There are several values of p and q that satisfy statement 1. Here are two:
Case a: p = 1 and q = 0. In this case, the answer to the target question is
YES, p IS greater than qCase b: p = -0.5 and q = -0.5. In this case, the answer to the target question is
NO, p is NOT greater than qSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Aside: For more on this idea of testing values when a statement doesn't feel sufficient, read my article: http://www.gmatprepnow.com/articles/dat ... lug-values Statement 2: p³ > qLet's test some values.
IMPORTANT: If you want to test values for statement 2, AND you've already tested values in statement 1,
check to see whether you can RE-USE the same values you used in statement 1. It turns out we CAN re-use them:
Case a: p = 1 and q = 0. In this case, the answer to the target question is
YES, p IS greater than qCase b: p = -0.5 and q = -0.5. In this case, the answer to the target question is
NO, p is NOT greater than qSince we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined IMPORTANT: Notice that I was able to use the
same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: p = 1 and q = 0. In this case, the answer to the target question is
YES, p IS greater than qCase b: p = -0.5 and q = -0.5. In this case, the answer to the target question is
NO, p is NOT greater than qSince we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
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