number properties

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sud21: Master | Next Rank: 500 Posts; Posts: 344; Joined: Sat Nov 12, 2011 3:21 amFollowed by: 2 members; Thanked: 1 times

by sud21 » Sat Jan 21, 2012 10:44 pm

M, N and K are integers. Is the product of them divisible by 3?
1) The sum of them is divisible by 3
2) M, N, and K are consecutive integers.

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Source: Beat The GMAT — Data Sufficiency | Sat Jan 21, 2012 10:44 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sat Jan 21, 2012 10:50 pm

sud21 wrote:M, N and K are integers. Is the product of them divisible by 3?
1) The sum of them is divisible by 3
2) M, N, and K are consecutive integers.

Statement 1:
# Say, M = N = K = 1 --> (M + N + K) = 3 is divisible by 3 but MNK is not
# Say, M = N = K = 3 --> (M + N + K) = 9 and MNK = 27 are both divisible by 3

Not sufficient

Statement 2: If M, N, and K are consecutive integers then at least one of them must be divisible by three. Hence, their product is also divisible by 3.

Sufficient

The correct answer is B.

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