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Is k divisible by 4

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by OptimusPrep » Sun Jun 26, 2016 9:21 pm
750+ wrote:Can someone please provide a solution
Is the integer k divisible by 4?

(1) 8k is divisible by 16
(2) 9k is divisible by 12
Required: Is k divisible by 4?

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
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