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If x, 1, 2, 3 are there and the range and median of them are the same,

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Math Revolution GMAT Instructor
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If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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New post 11 Sep 2016, 18:39
1
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:19) correct 19% (01:07) wrong based on 54 sessions

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If x, 1, 2, 3 are there and the range and median of them are the same, what is the value of x?
A. 0
B. 1
C. 2
D. 3
E. 4

*An answer will be posted in 2 days.

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Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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New post 11 Sep 2016, 19:46
MathRevolution wrote:
If x, 1, 2, 3 are there and the range and median of them are the same, what is the value of x?
A. 0
B. 1
C. 2
D. 3
E. 4

*An answer will be posted in 2 days.


Plug-in the values and only x=2 will give the range = median = 2
or
Range is an Integer and only option that median to be a integer is x=2.

Answer is C
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Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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New post 12 Sep 2016, 09:27
i guess we need further specification about value of x .

AS per the question above, x can be negative, positive, zero ..

please clarify
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Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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New post 12 Sep 2016, 09:31
1
deepthit wrote:
i guess we need further specification about value of x .

AS per the question above, x can be negative, positive, zero ..

please clarify


Try taking the values of x as you suggested and then see if the median and the range are equal.

Once you do that, you will get the answer yourself. :-D
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Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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New post 12 Sep 2016, 09:36
abhimahna wrote:
deepthit wrote:
i guess we need further specification about value of x .

AS per the question above, x can be negative, positive, zero ..

please clarify


Try taking the values of x as you suggested and then see if the median and the range are equal.

Once you do that, you will get the answer yourself. :-D


Tried substituting values starting with 1, 2, 3...

only x = 2 satisfies the condition.

Thank you Abhimahna !!
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Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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New post 14 Sep 2016, 01:47
If x=2, then from 1,2,2,3, the range becomes range=3-1=2=median. Hence, the correct answer is C.
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Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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Re: If x, 1, 2, 3 are there and the range and median of them are the same,   [#permalink] 21 Feb 2018, 07:23
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