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# 5 integers, not necessarily distinct, are chosen from the integers

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Current Student
Joined: 27 May 2014
Posts: 525
GMAT 1: 730 Q49 V41
5 integers, not necessarily distinct, are chosen from the integers  [#permalink]

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03 Jan 2018, 04:43
00:00

Difficulty:

(N/A)

Question Stats:

67% (01:13) correct 33% (01:19) wrong based on 3 sessions

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5 integers, not necessarily distinct, are chosen from the integers between –(n+1) and n, inclusive, where n is a positive integer. If the probability that the product of the chosen integers is zero is 1 – (0.9375)^5, then what is the value of n?

A) 7
B) 8
C) 9
D) 15
E) 16

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Joined: 07 Oct 2016
Posts: 4
Re: 5 integers, not necessarily distinct, are chosen from the integers  [#permalink]

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03 Jan 2018, 05:06
1
saswata4s wrote:
5 integers, not necessarily distinct, are chosen from the integers between –(n+1) and n, inclusive, where n is a positive integer. If the probability that the product of the chosen integers is zero is 1 – (0.9375)^5, then what is the value of n?

A) 7
B) 8
C) 9
D) 15
E) 16

15/16 is 0.9375. This means that the total number from -(n+1) to n inclusive equals 16. If 8 is the answer this means there are: (-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8) 18 numbers. Shouldn't the answer be 7?
Retired Moderator
Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
Re: 5 integers, not necessarily distinct, are chosen from the integers  [#permalink]

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03 Jan 2018, 05:18
mohdtaha wrote:
saswata4s wrote:
5 integers, not necessarily distinct, are chosen from the integers between –(n+1) and n, inclusive, where n is a positive integer. If the probability that the product of the chosen integers is zero is 1 – (0.9375)^5, then what is the value of n?

A) 7
B) 8
C) 9
D) 15
E) 16

15/16 is 0.9375. This means that the total number from -(n+1) to n inclusive equals 16. If 8 is the answer this means there are: (-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8) 18 numbers. Shouldn't the answer be 7?

Yes agree with mohdtaha

if -(n+1) & n are inclusive, then total terms in the series=n+(n+1)+1=2n+2

and as 2n+2=16=>n=7
Intern
Joined: 30 Dec 2017
Posts: 4
Re: 5 integers, not necessarily distinct, are chosen from the integers  [#permalink]

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03 Jan 2018, 05:51
niks18 wrote:
mohdtaha wrote:
saswata4s wrote:
5 integers, not necessarily distinct, are chosen from the integers between –(n+1) and n, inclusive, where n is a positive integer. If the probability that the product of the chosen integers is zero is 1 – (0.9375)^5, then what is the value of n?

A) 7
B) 8
C) 9
D) 15
E) 16

15/16 is 0.9375. This means that the total number from -(n+1) to n inclusive equals 16. If 8 is the answer this means there are: (-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8) 18 numbers. Shouldn't the answer be 7?

Yes agree with mohdtaha

if -(n+1) & n are inclusive, then total terms in the series=n+(n+1)+1=2n+2

and as 2n+2=16=>n=7

why did u take 16

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Retired Moderator
Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
Re: 5 integers, not necessarily distinct, are chosen from the integers  [#permalink]

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03 Jan 2018, 05:58
riniglory wrote:
why did u take 16

Hi riniglory,

Refer to the earlier solution posted by mohdtaha

Total number of integers is 16 which means -(n+1) to n has 16 terms.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: 5 integers, not necessarily distinct, are chosen from the integers &nbs [#permalink] 03 Jan 2018, 05:58
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