500 ds test11 #24

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dunkin77
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Topic: 500 ds test11 #24

Thu Apr 19, 2007 12:16 pm

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24. If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?

(1) b is a multiple of 3,
(2) c is odd.

Hi,

I thought the answer is E) but actually the answer is A) --- Can anyone please explain??

jayhawk2001
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Thu Apr 19, 2007 10:07 pm

dunkin77 wrote: 24. If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ? (1) b is a multiple of 3, (2) c is odd. Hi, I thought the answer is E) but actually the answer is A) --- Can anyone please explain?? I'm not sure how it can be A. Take 345 - clearly not a multiple of 24. Take 232425 - clearly a multiple of 24 So, insufficient. Actually 1 doesn't tell us anything that we already don't know. Product of 3 consecutive positive integers HAS to be a multiple of 3 345, 456, 567 etc. are all multiples of 3.