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What is the value of x in 10, 13, 15, 17, and x? 1) The median of them

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Math Revolution GMAT Instructor
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What is the value of x in 10, 13, 15, 17, and x? 1) The median of them  [#permalink]

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New post 06 Sep 2017, 01:30
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Difficulty:

  35% (medium)

Question Stats:

70% (01:05) correct 30% (00:53) wrong based on 66 sessions

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[GMAT math practice question]

What is the value of x in 10, 13, 15, 17, and x?

1) The median of them is 15
2) The range of them is 7

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Re: What is the value of x in 10, 13, 15, 17, and x? 1) The median of them  [#permalink]

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New post 06 Sep 2017, 03:14
MathRevolution wrote:
[GMAT math practice question]

What is the value of x in 10, 13, 15, 17, and x?

1) The median of them is 15
2) The range of them is 7


I answered it wrong :oops: :oops: :oops: but suddenly realized my mistake.

The number is {x,10,13,15,17} (not in an order), and we must answer what is X?

#Statement 1
- Median 15 makes the set become like this : {10,13,15,17,x} or {10,13,15,x,17}.
- INSUFFICIENT.

#Statement 2
- The range of them is 7 - clearly INSUFFICIENT.

#Statement 1 & 2
- We have 2 option : {10,13,15,17,x} or {10,13,15,x,17}.
- Combine with statement 2, X can be 17 (from the first set) or 15/16/17 (from the second set).

E.
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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 7230
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: What is the value of x in 10, 13, 15, 17, and x? 1) The median of them  [#permalink]

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New post 08 Sep 2017, 00:59
[GMAT math practice question]

=>

1) & 2) x = 16, x = 17
We have two solutions. The answer is not unique.
This is not sufficient.

Thus the answer is E.
Ans: E
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Re: What is the value of x in 10, 13, 15, 17, and x? 1) The median of them   [#permalink] 08 Sep 2017, 00:59
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