Author 
Message 
TAGS:


Moderator
Joined: 18 Apr 2015
Posts: 5185
Followers: 77
Kudos [?]:
1040
[0], given: 4676

A set of integers consists of 2, 3, 5, 7, 11, 12, [#permalink]
19 Aug 2017, 08:03
Question Stats:
91% (01:19) correct
8% (01:23) wrong based on 12 sessions
A set of integers consists of 2, 3, 5, 7, 11, 12, and x. If x increases by 1, the median of the set stays unchanged. However, if x decreases by 1, the median of the set also decreases by 1. What is the value ofx? enter your value
_________________
Get the 2 FREE GREPrepclub Tests




Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1
Kudos [?]:
330
[1]
, given: 66

Re: A set of integers consists of 2, 3, 5, 7, 11, 12, [#permalink]
25 Sep 2017, 05:32
1
This post received KUDOS
Given the set 2 3 5 7 11 12 x, the median is 7. Thus, if 1 is summed to x, the median does not change, thus x must be a number from 7 on. In addition, we know that when 1 is subtracted from x, then the median diminishes by 1. This must be that the median becomes 6 when 1 is subtracted from x. Now, which number from 7 on when is reduced by one make the median becoming 6? Only x = 7. Then, the set would become 2 3 4 5 7 7 11 12, thus the median is 7. When we include x+1 = 8 the median stays 7. When we include x1=6, the median becomes 6. Here we are!



Moderator
Joined: 18 Apr 2015
Posts: 5185
Followers: 77
Kudos [?]:
1040
[0], given: 4676

Re: A set of integers consists of 2, 3, 5, 7, 11, 12, [#permalink]
26 Feb 2018, 11:04
No. The source is from Manhattan GRE. Usually, they create difficult questions above the average. Regards
_________________
Get the 2 FREE GREPrepclub Tests



Intern
Joined: 23 Nov 2017
Posts: 45
Followers: 0
Kudos [?]:
44
[0], given: 0

Re: A set of integers consists of 2, 3, 5, 7, 11, 12, [#permalink]
27 Feb 2018, 12:15
Am I the only one who finds this question objectionable? The question gives the impression that the set is 2,3,5,7,11,12,x. I thought x would have to be the very last number in the set. The median is the number in the middle of a set so in this case the median is 7. It won't matter what x is because it will not impact the median.




Re: A set of integers consists of 2, 3, 5, 7, 11, 12,
[#permalink]
27 Feb 2018, 12:15





