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# Samantha picked a total of 10 integers, some positive and some negativ

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Math Expert
Joined: 02 Sep 2009
Posts: 61271
Samantha picked a total of 10 integers, some positive and some negativ  [#permalink]

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11 Apr 2016, 03:15
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:21) correct 24% (00:50) wrong based on 115 sessions

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Samantha picked a total of 10 integers, some positive and some negative, for a certain game. Did she choose more positive integers than negative integers?

(1) The sum of the integers she picked is less than zero.
(2) The product of the integers she picked is less than zero.

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 8264
Re: Samantha picked a total of 10 integers, some positive and some negativ  [#permalink]

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11 Apr 2016, 03:51
1
Bunuel wrote:
Samantha picked a total of 10 integers, some positive and some negative, for a certain game. Did she choose more positive integers than negative integers?

(1) The sum of the integers she picked is less than zero.
(2) The product of the integers she picked is less than zero.

Hi,

lets see the statements---

(1) The sum of the integers she picked is less than zero.
its possible that most are -ive say -9,-8,-7,-6,-5,-4,-3,-2,-1,1,2... ans is NO
one -ive number is -100, others rae positive 1,2,3,4,5,6,7,8,9.. ans is YES
Insuff..

(2) The product of the integers she picked is less than zero.
for the product to be <0, we should have ODD number of -ive integers..
they can be 9 and 1 +ive... ans is NO
they can be 1 and rest +ive.. ans is yes..
Insuff..

Combined..
Nothing new
Insuff

E
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Joined: 06 Nov 2014
Posts: 1867
Re: Samantha picked a total of 10 integers, some positive and some negativ  [#permalink]

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11 Apr 2016, 09:33
1
Bunuel wrote:
Samantha picked a total of 10 integers, some positive and some negative, for a certain game. Did she choose more positive integers than negative integers?

(1) The sum of the integers she picked is less than zero.
(2) The product of the integers she picked is less than zero.

Total integers picked = 10
Are positive integers more than negative integers?

Statement 1: The sum of the integers she picked is less than zero
Since nothing is said about the range of the numbers, we can pick any number.

Case 1: Negative number = - 1000
Positive numbers = 1, 2, 3, 4, 5, 6,7 , 8, 9

Case 2: Negative numbers = - 1, -2, -3, -4, -5, -6, -7, -8, -9
Positive Number = 10
Nothing can be said.
Insufficient

Statement 2: The product of the integers she picked is less than zero
This means the number of -ve numbers are odd.
Case 1: Number of negative numbers = 7.
Number of positive numbers = 3

Case 2: Number of negative numbers = 1
Number of positive number = 9
Again nothing can be said.
Insufficient

Combining both statements:
Still nothing can be said about the numbers.
Insufficient.

Option E
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Joined: 26 Mar 2013
Posts: 2347
Concentration: Operations, Strategy
Schools: Erasmus '21 (M\$)
Re: Samantha picked a total of 10 integers, some positive and some negativ  [#permalink]

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22 May 2017, 03:12
1
Bunuel wrote:
Samantha picked a total of 10 integers, some positive and some negative, for a certain game. Did she choose more positive integers than negative integers?

(1) The sum of the integers she picked is less than zero.
(2) The product of the integers she picked is less than zero.

Hi Bunuel,

The above question belongs to Target test prep. Can you please change the so that it helping during search?

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 61271
Re: Samantha picked a total of 10 integers, some positive and some negativ  [#permalink]

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22 May 2017, 05:00
Mo2men wrote:
Bunuel wrote:
Samantha picked a total of 10 integers, some positive and some negative, for a certain game. Did she choose more positive integers than negative integers?

(1) The sum of the integers she picked is less than zero.
(2) The product of the integers she picked is less than zero.

Hi Bunuel,

The above question belongs to Target test prep. Can you please change the so that it helping during search?

Thanks

_________________
Done. Thank you.
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Joined: 09 Sep 2013
Posts: 14075
Re: Samantha picked a total of 10 integers, some positive and some negativ  [#permalink]

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22 Sep 2018, 01:34
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Re: Samantha picked a total of 10 integers, some positive and some negativ   [#permalink] 22 Sep 2018, 01:34
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