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# If m is an integer greater than 9 but less than 20, is n greater than

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Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
If m is an integer greater than 9 but less than 20, is n greater than  [#permalink]

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12 Oct 2016, 10:56
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Difficulty:

75% (hard)

Question Stats:

59% (02:38) correct 41% (01:58) wrong based on 67 sessions

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If m is an integer greater than 9 but less than 20, is n greater than the average (arithmetic mean) of m and 20?

(1) n = 3m
(2) The distance on the number line between n and 20 is less than the distance on the number line between n and m.

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VP
Joined: 05 Mar 2015
Posts: 1003
If m is an integer greater than 9 but less than 20, is n greater than  [#permalink]

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12 Oct 2016, 18:44
duahsolo wrote:
If m is an integer greater than 9 but less than 20, is n greater than the average (arithmetic mean) of m and 20?

(1) n = 3m
(2) The distance on the number line between n and 20 is less than the distance on the number line between n and m.

(1) n=3m
even if n=9 them m=27 which if out of the range specified for m
as because avg. of m & 20 lies within the range then n ,which is greater than 20 must be > than avg. of m & 20 in any case
suff..

(2) this directly gives the ans YES.
As because avg of m & 20 is the midpoint between m & 20 then n which we place in between m & 20 on number line is equidistant when it is an avg. value but as distance of In-20I < In-mI means the value of n must be shifted towards right of avg value ,or in other words n is closer to 20 in every case.
one can draw a number line and visualize very easily
then n must be > avg value
suff..

Ans D
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Joined: 09 Sep 2013
Posts: 9411
Re: If m is an integer greater than 9 but less than 20, is n greater than  [#permalink]

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12 Apr 2018, 03:49
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Re: If m is an integer greater than 9 but less than 20, is n greater than &nbs [#permalink] 12 Apr 2018, 03:49
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