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What is the median of the 9 numbers?

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Math Revolution GMAT Instructor
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What is the median of the 9 numbers?  [#permalink]

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New post 05 Dec 2016, 21:50
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (00:58) correct 27% (01:01) wrong based on 89 sessions

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What is the median of the 9 numbers?

1) The smallest 5 numbers of them are less than or equal to 10.
2) The largest 5 numbers of them are more than or equal to 10.

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Math Revolution GMAT Instructor
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Re: What is the median of the 9 numbers?  [#permalink]

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New post 07 Dec 2016, 00:30
==> In the original condition, since there are 9 variables, E is likely to be the answer.
Through 1) & 2), in order of size, the first 5 numbers are smaller than 10 or the same. Also, the last 5 numbers are bigger than 10 or the same. Hence, the fifth number should be always 10. Then, the fifth number becomes median and median=10, which is unique and sufficient. Hence, the answer is C.
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Re: What is the median of the 9 numbers?  [#permalink]

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New post 07 Dec 2016, 02:03
MathRevolution wrote:
What is the median of the 9 numbers?

1) The smallest 5 numbers of them are less than or equal to 10.
2) The largest 5 numbers of them are more than or equal to 10.



Ans C.

we have 9 number in the set ..so 5th will be the median...

a. so we can tell anything about 5th number . it can be any value less or equal to 10.
b. same as a , we cant tell any thing about the 5 th number..

by combining we can deduce that 5 th number have to be 10 to satisfy the both condition ..
So median will be 10 ...
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Re: What is the median of the 9 numbers?  [#permalink]

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New post 12 Oct 2017, 06:58
Hi - I thought E on this one. ..

why isnt this possible

0 / 0 / 0 / 0 / 0 / 2 / 3 / 4 /5

the 5 smallest numbers are less than 10

the 5 largest numbers are more than 10 ..
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Re: What is the median of the 9 numbers? &nbs [#permalink] 12 Oct 2017, 06:58
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