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# Q is a set of 7 integers. m and n are two of the numbers in Q.

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Intern
Joined: 11 Dec 2016
Posts: 47
Q is a set of 7 integers. m and n are two of the numbers in Q.  [#permalink]

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24 May 2018, 08:11
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Difficulty:

35% (medium)

Question Stats:

71% (01:25) correct 29% (01:16) wrong based on 85 sessions

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Q is a set of 7 integers. m and n are two of the numbers in Q. Excluding m and n, the largest integer in Q is 21 and the smallest integer is 1. What is the range of Q?

(1) m > n > 1

(2) n < m < 20
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Re: Q is a set of 7 integers. m and n are two of the numbers in Q.  [#permalink]

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24 May 2018, 09:00
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Top Contributor
To know the range we need to know if m or n or both are more than 21 or less than 1, as only then they can affect the range.
STAT1: m> n> 1
This tells us that m and n are greater than 1 but does not tell us if they are > 21 or not.
SO, NOT SUFFICIENT

STAT2: n < m < 20
This tell us that m and n are less than 20 but does not tell us if they are > 1
So, NOT SUFFICIENT

Both together tell us that

1 < n < m < 20
So, Range will be 21-1 = 20
Answer C

Hope it helps!
asfandabid wrote:
Q is a set of 7 integers. m and n are two of the numbers in Q. Excluding m and n, the largest integer in Q is 21 and the smallest integer is 1. What is the range of Q?

(1) m > n > 1

(2) n < m < 20

_________________
VP
Joined: 27 May 2012
Posts: 1028
Re: Q is a set of 7 integers. m and n are two of the numbers in Q.  [#permalink]

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07 Aug 2018, 07:05
1
asfandabid wrote:
Q is a set of 7 integers. m and n are two of the numbers in Q. Excluding m and n, the largest integer in Q is 21 and the smallest integer is 1. What is the range of Q?

(1) m > n > 1

(2) n < m < 20

Dear Moderator,
While going through the PS section of statistics, found this DS question. Hope you will do the needful. Thank you.
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- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 64155
Re: Q is a set of 7 integers. m and n are two of the numbers in Q.  [#permalink]

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08 Aug 2018, 02:31
stne wrote:
asfandabid wrote:
Q is a set of 7 integers. m and n are two of the numbers in Q. Excluding m and n, the largest integer in Q is 21 and the smallest integer is 1. What is the range of Q?

(1) m > n > 1

(2) n < m < 20

Dear Moderator,
While going through the PS section of statistics, found this DS question. Hope you will do the needful. Thank you.

Done. Thank you for being so vigilant.
_________________
Re: Q is a set of 7 integers. m and n are two of the numbers in Q.   [#permalink] 08 Aug 2018, 02:31

# Q is a set of 7 integers. m and n are two of the numbers in Q.

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