Bunuel wrote:
\(N = 2^j3^k\), where j and k are positive integers. What is N?
(1) 2 is a divisor of N, but 4 is not.
(2) N is a divisor of 36, but not of 24.
Statement 1:Since 4 is not a factor, we have \(j < 2\). Since 2 is a factor, we have \(j \geq 1\). Thus j = 1. We still need to know k so insufficient.
Statement 2:The factors of 36 are 1*36=2*18=3*12=4*9=6*6. Among these 36, 18, and 9 are not divisors of 24. Insufficient.
Combined:We know N has a multiple of 2 but not 4. Among 36, 18, and 9, only 18 satisfies this. Sufficient.
Ans: C
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