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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
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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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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11 Sep 2016, 18:39
1
1
00:00

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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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.

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Joined: 24 Oct 2013
Posts: 127
Location: India
Concentration: General Management, Strategy
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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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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 ..

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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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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 ..

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.
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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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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 ..

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.

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

only x = 2 satisfies the condition.

Thank you Abhimahna !!
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8229
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If x, 1, 2, 3 are there and the range and median of them are the same,  [#permalink]

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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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21 Feb 2018, 07:23
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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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