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List of integer-gmatprep

by joyseychow » Thu Apr 08, 2010 11:15 pm
A certain list consist of several different integers. Is the product of all integers in the list positive?

1) The product of the greatest and the smallest integer in the list is positive

2) There is an even number of integers in the list


[spoiler]This is pretty simple but I'm just not seeing it. OA is C.
If I take both statement into consideration, I get E.

Eg. (arrange by order) G-greatest integer, S-smallest integer
Product of G(+ve) , -ve, -ve, S(+ve) = +ve
But product of G(+ve) , +ve, -ve, S(+ve) = -ve

:? [/spoiler]
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by outreach » Thu Apr 08, 2010 11:37 pm
https://www.manhattangmat.com/forums/a-c ... t1002.html
joyseychow wrote:A certain list consist of several different integers. Is the product of all integers in the list positive?

1) The product of the greatest and the smallest integer in the list is positive

2) There is an even number of integers in the list


[spoiler]This is pretty simple but I'm just not seeing it. OA is C.
If I take both statement into consideration, I get E.

Eg. (arrange by order) G-greatest integer, S-smallest integer
Product of G(+ve) , -ve, -ve, S(+ve) = +ve
But product of G(+ve) , +ve, -ve, S(+ve) = -ve

:? [/spoiler]
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by dxgamez » Thu Apr 08, 2010 11:39 pm
1. insufficient because we do not know how many integers are there in the set. so can be +ve or -ve.

2. again, even nos of integers in the list doesn't give us enough info. insufficient.

combine 1 + 2

in 1, it says that the product of greatest and smallest is +ve:-

thus it can mean either all numbers are -ve or all numbers are +ve.

case 1:- all numbers are -ve

-ve, -ve, -ve, -ve gives us positive

case 2:- all numbers are +ve

+ve, +ve, +ve, +ve gives us positive

thus, answer is C

@joyseychow, your product of "G(+ve) , +ve, -ve, S(+ve)" is incorrect because it contradicts st 1. st 1 clearly states that the product of largest and smallest is positive. thus, if your G and S is +ve, your middle integers must be +ve.

Hope you can see that.
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by joyseychow » Sun Apr 11, 2010 6:30 am
dxgamez wrote:1. insufficient because we do not know how many integers are there in the set. so can be +ve or -ve.

2. again, even nos of integers in the list doesn't give us enough info. insufficient.

combine 1 + 2

in 1, it says that the product of greatest and smallest is +ve:-

thus it can mean either all numbers are -ve or all numbers are +ve.

case 1:- all numbers are -ve

-ve, -ve, -ve, -ve gives us positive

case 2:- all numbers are +ve


+ve, +ve, +ve, +ve gives us positive

thus, answer is C

@joyseychow, your product of "G(+ve) , +ve, -ve, S(+ve)" is incorrect because it contradicts st 1. st 1 clearly states that the product of largest and smallest is positive. thus, if your G and S is +ve, your middle integers must be +ve.

Hope you can see that.
Gosh! How could I miss that. :oops: Thanks a million!
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