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# ds - cons integers

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SVP
Joined: 07 Nov 2007
Posts: 1765
Location: New York

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04 Sep 2008, 11:20
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What is the product of 6 consecutive integers?

The greatest integer is 4
The sequence has both positive and negative integers

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
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Senior Manager
Joined: 04 Jan 2006
Posts: 276
Re: ds - cons integers [#permalink]

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04 Sep 2008, 11:28
x2suresh wrote:
What is the product of 6 consecutive integers?

The greatest integer is 4
The sequence has both positive and negative integers

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Good one! The answer is D.

1) (-1) * (0) * (1) * (2) * (3) * (4) = 0
2) If the sequence has both positive and negative, then it must contain zero.
The product is 0.
VP
Joined: 05 Jul 2008
Posts: 1378
Re: ds - cons integers [#permalink]

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04 Sep 2008, 15:17
devilmirror wrote:
x2suresh wrote:
What is the product of 6 consecutive integers?

The greatest integer is 4
The sequence has both positive and negative integers

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Good one! The answer is D.

1) (-1) * (0) * (1) * (2) * (3) * (4) = 0
2) If the sequence has both positive and negative, then it must contain zero.
The product is 0.

Exactly. Both the statements say that 0 is one of the 6 numbers. The final product of a set of a numbers with 0 in it is 0. Hence D
VP
Joined: 17 Jun 2008
Posts: 1328
Re: ds - cons integers [#permalink]

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05 Sep 2008, 22:06
x2suresh wrote:
What is the product of 6 consecutive integers?

The greatest integer is 4
The sequence has both positive and negative integers

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

say n,n+1,n+2,n+3,n+4,n+5 are the integers
1)greatest n+5=4 gives value of others hence SUFFI
2)both positive and negative => hence product is always 0 since in consec,0 will surely occur SUFFI
IMO D
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Re: ds - cons integers   [#permalink] 05 Sep 2008, 22:06
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