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21 Dec 2015, 11:42
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
63% (02:22) correct
37%
(02:24)
wrong
based on 174
sessions
History
Date
Time
Result
Not Attempted Yet
{3, 5, 8, x}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x
A) 16/5, 28/3
B) 4, 16/5
C) 4, 16/5, 28/3
D) 4, 28/3
E) 3, 4, 5
Source:https://www.GMATinsight.com
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x
A) 16/5, 28/3
B) 4, 16/5
C) 4, 16/5, 28/3
D) 4, 28/3
E) 3, 4, 5
Source:https://www.GMATinsight.com
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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21 Dec 2015, 11:50
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GMATinsight
Good question.
The set can have the following forms:
1. {3,5,8,x} , range = x-3 and mean = 4+x/4, x = 28/3
2. {3,5,x,8} , range = 5 and mean = 4+x/4, x=4
3. {3,x,5,8} , range = 5 and mean = 4+x/4, x=4
4. {x,3,5,8} , range = 8-x and mean = 4+x/4, x=16/5. But as x<3 (assumed here), x=3.2 can not be true. Hence reject this case.
Thus the possible values are 4 and 28/3.
D is the correct answer.
21 Dec 2015, 11:52
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Engr2012
The highlighted 4th case is the TRAP
That case is valid only for x to be smaller than 3 whereas the value obtained of x is 16/5 i.e. 3.2 i.e. Inconsistent solution so we need to reject it.
I hope this helps!
