Is the integer \(k\) a prime number?
(1) \(2k = 6\)
(2) \(1 < k < 6\)
Answer: A
Source: Official Guide
Is the integer \(k\) a prime number?
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Global Stats
Target question: Is k a prime number?
Given: k is an integer
Statement 1: 2k = 6
Solve to get: k = 3
3 is a prime number, so the answer to the target question is YES, k IS a prime number
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: 1 < k < 6
There are several values of k that satisfy statement 2. Here are two:
Case a: k COULD equal 2, in which case, the answer to the target question is YES, k IS a prime number
Case b: k COULD equal 4, in which case, the answer to the target question is NO, k is NOT a prime number
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent