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Stmt 1
8 is comprised of 2*2*2
16 is comprised of 2*2*2*2
if 8K is divisible by 16 then k must have at least one occurrence of 2 in its prime factor set. But in order for k to be divisible by 4 (=2*2) we need two occurrences of 2
--> insufficient (k could or could not be divisible by 4)
Stmt 2
9 is comprised of 3*3
12 is comprised of 2*2*3*3
if 9k is divisible by 12 then the K must have two occurrences of two in its prime factor set. Hence K is divisible by 4 ---> sufficient
Ans B
8 is comprised of 2*2*2
16 is comprised of 2*2*2*2
if 8K is divisible by 16 then k must have at least one occurrence of 2 in its prime factor set. But in order for k to be divisible by 4 (=2*2) we need two occurrences of 2
--> insufficient (k could or could not be divisible by 4)
Stmt 2
9 is comprised of 3*3
12 is comprised of 2*2*3*3
if 9k is divisible by 12 then the K must have two occurrences of two in its prime factor set. Hence K is divisible by 4 ---> sufficient
Ans B
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