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Which of he following could be the median of the integers listed bello

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Which of he following could be the median of the integers listed bello [#permalink]

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New post 26 Mar 2018, 23:00
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

53% (00:58) correct 47% (00:09) wrong based on 15 sessions

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100,140, 180, 220, 260, n
Which of he following could be the median of the integers listed bellow?

I. 140
II. 160
III. 210

A. None
B. I only
C. II only
D. I and II only
E. II and III only.
source:- expertsglobal
[Reveal] Spoiler: OA
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GMAT 1: 540 Q49 V16
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Re: Which of he following could be the median of the integers listed bello [#permalink]

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New post 27 Mar 2018, 07:30
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rishabhmishra wrote:
100,140, 180, 220, 260, n
Which of he following could be the median of the integers listed bellow?

I. 140
II. 160
III. 210

A. None
B. I only
C. II only
D. I and II only
E. II and III only.
source:- expertsglobal



Possible cases:
1. N before 100 ----- median is \(\frac{(140+180)}{2}\) = 160 i.e., \(\frac{(3rd +4th)}{2}\) Similarly,
2. N before 140 ----- median is \(\frac{(140+180)}{2}\) = 160
3. N before 180 ----- median is \(\frac{(n+180)}{2}\) = \(\frac{(180+n)}{2}\)
4. N before 220 ----- median is \(\frac{(180+n)}{2}\) = \(\frac{(180+n)}{2}\)
5. N before 260 ----- median is \(\frac{(180+220)}{2}\) = 200
6. N after 260 ----- median is \(\frac{(180+220)}{2}\) = 200


Hence , ans C
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Re: Which of he following could be the median of the integers listed bello   [#permalink] 27 Mar 2018, 07:30
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Which of he following could be the median of the integers listed bello

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