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Question: Is the integer z divisible by 6?
(1) The greatest common factor of z and 12 is 3.
i.e. z is a multiple of 3 but is ODD (if z were even then GCD of z and 12 would have been 6 at least)
hence z is NOT divisible by 6 hence
SUFFICIENT
(2) The greatest common factor of z and 15 is 3.
i.e. z is a multiple of 3
but we are not certain whether z is also divisible by 2 or not hence
NOT SUFFICIENT
Answer: Option A
(1) The greatest common factor of z and 12 is 3.
i.e. z is a multiple of 3 but is ODD (if z were even then GCD of z and 12 would have been 6 at least)
hence z is NOT divisible by 6 hence
SUFFICIENT
(2) The greatest common factor of z and 15 is 3.
i.e. z is a multiple of 3
but we are not certain whether z is also divisible by 2 or not hence
NOT SUFFICIENT
Answer: Option A
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