jain2016 wrote:Is positive integer x divisible by 24?
1) Under sq. of x is divisible by 4
2) x^2 is not divisible by 9
OAB
Hi Experts ,
Please explain.
Many thanks in advance.
SJ
there's always good old-fashioned number-picking.
Statement 1: For Case 1, consider x = 16. Not divisible by 24, so the answer to the question is NO. Consider x = 144. Divisible by 24, so the answer is YES. Statement 1 is not sufficient.
Statement 2: For Case 1, consider x^2 = 16, or x = 4. Not divisible by 24, so we have a NO. Consider x^2 = 25, or x = 5. Not divisible by 24, so we have another NO. If x^2 is not divisible by 9, integer x
cannot contain a 3. Without a 3, x cannot be divisible by 24, whose prime factorization = 2^3 *
3, so the answer will always be NO. Therefore S2 is sufficient on its own. Answer is B.
