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# other tricky ds statistics

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VP
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other tricky ds statistics [#permalink]  27 Feb 2008, 09:47
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A certain list consists of several different integers. Is the product of all the
integers in the list positive?

(1) The product of the great and smallest of the integers in the list is
positive.
(2) There is an even number of integers in the list.
Director
Joined: 05 Jan 2008
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 09:54
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I will go for E

let us say

by 1 let us take a set 1,-2,3 then -6 disputes the question
by 2, say 1,2,-3,4 then the product is -ve

thus it should be E
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CEO
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 10:12
marcodonzelli wrote:
A certain list consists of several different integers. Is the product of all the
integers in the list positive?

(1) The product of the great and smallest of the integers in the list is
positive.
(2) There is an even number of integers in the list.

Im gunna go for C.

the product of the greatest and the least is +

1: could be -5...-1 or 1....5. However, we don't know whether the number of integers is even or odd.

Insuff

2: -2,-1,0,1 No its not +. 1,2,3,4 it is positive.

Together. suff b/c we are not going to deal w/ 0 b/c with S1.

can only be -5...-1 or 1....5 and there must be an even number of integers.
Director
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 10:39
I am not clear, using both the statements

statement 1 & 2 hold good for the below set of integers
1,2,-3,4 -> product -ve
1,2,3,4-> +ve

am I missing anything?
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SVP
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 10:56
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prasannar wrote:
I am not clear, using both the statements

statement 1 & 2 hold good for the below set of integers
1,2,-3,4 -> product -ve
1,2,3,4-> +ve

am I missing anything?

there could be all -ve integers/numbers.
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 17:06
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prasannar wrote:
I am not clear, using both the statements

statement 1 & 2 hold good for the below set of integers
1,2,-3,4 -> product -ve
1,2,3,4-> +ve

am I missing anything?

product of the greatest and the smallest has to be positive.
In the set that you have chosen (1,2,-3,4), this product is negative.
You have chosen an incorrect set.
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Director
Joined: 14 Jan 2007
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 19:26
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statement1 means that all the elements are either +ve or -ve.
stmt2 ascertains the product will be +ve or -ve..
hence 'C'
VP
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 20:57
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yea this is a gmatprep question...good q
SVP
Joined: 04 May 2006
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 23:36
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prasannar wrote:
I am not clear, using both the statements

statement 1 & 2 hold good for the below set of integers
1,2,-3,4 -> product -ve
1,2,3,4-> +ve

am I missing anything?

Prasannar,

1. product of the greatest and the smallest in the list is positive. They must be the same sign. So, this statement limits the two ends of the list. For example.

1.1 if the smallest negative, the greatest must be negative. So the list must start from the negative and end at the negative [-5.....-1]
1.2 if the smallest positive, the greatest must be positive. So the list must start from the positive and end at the positive. [1.....5]

2. So the list you make example is not correct:
vscid wrote:
statement 1 & 2 hold good for the below set of integers
1,2,-3,4 -> product -ve
1,2,3,4-> +ve

Hope it help!
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Re: other tricky ds statistics [#permalink]  27 Feb 2008, 23:42
Thanks Guys Made a silly mistake.. oops!

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Re: other tricky ds statistics   [#permalink] 27 Feb 2008, 23:42
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