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B
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Difficulty:
25%
(medium)
Question Stats:
74% (01:08) correct
26%
(01:13)
wrong
based on 1391
sessions
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Is the integer k divisible by 4 ?
(1) 8k is divisible by 16.
(2) 9k is divisible by 12.
(1) 8k is divisible by 16.
(2) 9k is divisible by 12.
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15 Mar 2015, 22:37
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Is the integer k divisible by 4?
(1) 8k is divisible by 16 --> \(\frac{8k}{16}=\frac{k}{2}=integer\) --> \(k\) is a multiple of 2, but it may or may not be a multiple of 4. Not sufficient.
(2) 9k is divisible by 12 --> \(\frac{9k}{12}=\frac{3k}{4}=integer\) --> in order \(\frac{3k}{4}\) to be an integer \(k\) must be a multiple of 4. Sufficient.
Answer: B
(1) 8k is divisible by 16 --> \(\frac{8k}{16}=\frac{k}{2}=integer\) --> \(k\) is a multiple of 2, but it may or may not be a multiple of 4. Not sufficient.
(2) 9k is divisible by 12 --> \(\frac{9k}{12}=\frac{3k}{4}=integer\) --> in order \(\frac{3k}{4}\) to be an integer \(k\) must be a multiple of 4. Sufficient.
Answer: B
26 Jun 2016, 22:23
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r019h
Statement 1: 8k is divisible by 16
In this case, k should have a power of 2, hence it has to be divisible by 2, but we are not sure if it will be divisible by 4
INSUFFICIENT
Statement 2: 9k is divisible by 12
For 9k to be divisible by 12, k should have a power of 3 and a power of 4. Hence it has to be a multiple of 4
SUFFICIENT
Correct Option: B
