Is A multiple of 6? : GMAT Data Sufficiency (DS)

Is A multiple of 6?

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Is A multiple of 6? [#permalink]

17 Sep 2012, 05:50

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Is A multiple of 6?

(1) A = B(B+4)(B-4)
(2) B-4 is a multiple of 3.

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Re: Is A multiple of 6? [#permalink]

17 Sep 2012, 06:01

Is A =6K ?

Statement 1 - A = (B-4)(B)(B+4)
B= 4, A =0 ----> No, A is not a multiple of 6
B= 6, A =(2)(6)(10) -----> Yes, A is a multiple of 6

Statement 2 - B is a multiple of 3 - B has no relationship with A.

Combined Statement 1 + Statement 2
B=6, As seen above "A" is a multiple of 6
B=9, A =(5)(9)(13) ----> No, A is not a multiple of 6

Answer is E
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Re: Is A multiple of 6? [#permalink]

17 Sep 2012, 08:53

Is A multiple of 6?

(1) A = B(B+4)(B-4). If B=odd, then A=B(B+4)(B-4)=odd*odd*odd=odd and the answer is NO but if B=6, then the answer is obviously YES. Not sufficient.

(2) B-4 is a multiple of 3. B is 4 more than a multiple of 3. Not sufficient, since no info about A.

(1)+(2) From (2) we have that B is 4 more than a multiple of 3 and from (1) that A=B(B+4)(B-4). If B=odd (for example if B=7), then the answer is NO but if B=4, then A=B(B+4)(B-4)=0 and the answer is YES (since zero is a multiple of all integers except zero itself). Not sufficient.

Answer: E.

Hope it helps.
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Re: Is A multiple of 6? [#permalink] 17 Sep 2012, 08:53

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