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a and b are integers, is a factor of b?

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by M7MBA » Fri Mar 09, 2018 9:42 am
a and b are integers, is a factor of b?

(1) a is a factor of 2b
(2) 2a is a factor of b

The OA is the option B.

Why is not sufficient the first statement? Can any expert clarify this for me? Please.
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by GMATinsight » Fri Mar 09, 2018 10:14 am
M7MBA wrote:a and b are integers, is a factor of b?

(1) a is a factor of 2b
(2) 2a is a factor of b

The OA is the option B.

Why is not sufficient the first statement? Can any expert clarify this for me? Please.
Question : Is a factor of b?

Statement 1: a is factor of 2b
Case 1: a = 2 and b = 3, a is factor of 2b but a is NOT a factor of b
Case 2: a = 3 and b = 3, a is factor of 2b and a is also a factor of b

NOT SUFFICIENT

Statement 2: 2a is factor of b

i.e. b is divisible by 2a
i.e. b must also be divisible by a
(any factor of a divisor of a number is always a factor of the primary number)
i.g. if 6 is factor of 12 then every factor of 6(1, 2, 3, 6) will also be a factor of 12

SUFFICIENT
Answer: Option B
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