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Is x^3 equal to 125 ?
(1) x > 4
(2) x < 6
Answer: E
Source: Princeton Review
(1) x > 4
(2) x < 6
Answer: E
Source: Princeton Review
Target question: Is x^3 equal to 125 ?BTGModeratorVI wrote: ↑Tue Feb 16, 2021 8:13 amIs x^3 equal to 125 ?
(1) x > 4
(2) x < 6
Answer: E
Source: Princeton Review
REPHRASED target question: Does x = 5?
When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……
Statements 1 and 2 combined
Statement 1 tells us that x > 4
Statement 2 tells us that x < 6
Combine to get: 4 < x < 6
Since we're not told x is an INTEGER, there are infinitely man y values of x that satisfy BOTH statements. Here are two:
Case a: x = 5. In this case, the answer to the REPHRASED target question is YES, x is equal to 5
Case b: x = 5.1. In this case, the answer to the REPHRASED target question is NO, x is not equal to 5
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
