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one DS

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.
Ans : A

I choose E
For example , (1)c=3, B=3*4*5 is not a multiple of 24, but c=6,B=6*7*8 is a multiple of 24
So i guess the answer is wrong.
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Agree with U.
C=1,B=6, satisfy both 1) and 2), not a multiple of 24;
C=7,B=7*8*9, satisfy both 1) and 2), a multiple of 24

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