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Arithmetic Mean of SET X

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Arithmetic Mean of SET X [#permalink] New post 17 Nov 2011, 16:41
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Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. If K, L and M are consecutive integers, what is the arithmetic mean of set X?

(1) The product K × L × M is a multiple of 6
(2) There are at least 2 prime numbers among K, L and M

Again OA is not provided, but for me its E. Any thoughts please?
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Re: Arithmetic Mean of SET X [#permalink] New post 17 Nov 2011, 23:25
Enigma, I am inclined to agree with you on choice E. Here is my logic:

Statement 1 says - KxLxM is a multiple of 6. This could be either 1,2,3 which equals 6 (6 is a multiple of itself) or 2,3,4 (which equals 12 also a multiple of 6) - so insuff.
Statement 2 says - There are at least 2 prime numbers among K,L, and M - this since K,L,M has to be 1-4 and consecutive this gives us no new information - so insuff.

Taken together doesn't help us either.

Hence I am inclined to say E.
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Re: Arithmetic Mean of SET X [#permalink] New post 18 Nov 2011, 05:42
Thanks alinomoto. I see my bad. edited.

statement 2 gives us 2 possibilities: 234 or 123 [different positive numbers arranged in ascending order] Not sufficient

together: since K*L*M is multiple of 6, 234 and 123 are the only possibilities.
E

Last edited by BDSunDevil on 18 Nov 2011, 11:05, edited 1 time in total.
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Re: Arithmetic Mean of SET X [#permalink] New post 18 Nov 2011, 07:58
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BDSunDevil wrote:
statement 2 gives us 2 possibilities: 234 or 123 [different positive numbers arranged in ascending order] Not sufficient

together: since K*L*M is multiple of 6, 123 is the only possibilities.
C


I don't think this is correct.

The only 3 consecutive positive integer combination under 5 could be 1,2,3 or 2,3,4.

Statement 1 also gives you the same 2 possibilities. K*L*M could be 1*2*3 = 6 a multiple of 6.

2*3*4 = 24 (also a multiple of 6). NOT SUFFICIENT.

Statement 2 is saying that it has 2 different primes and 2,3 are in both, so again, statement 2 is NOT SUFFICIENT.

1) & 2) combined don't help as both still give you either 1,2,3 or 2,3,4 and the means will be different depending on which 3 numbers k,l,m are.

OA should be E.
Re: Arithmetic Mean of SET X   [#permalink] 18 Nov 2011, 07:58
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