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# Five distinct numbers a, b, c, d, e are in random order. If they are

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Joined: 21 Aug 2013
Posts: 1412
Location: India
Five distinct numbers a, b, c, d, e are in random order. If they are  [#permalink]

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05 Jul 2018, 21:04
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:23) correct 32% (01:00) wrong based on 19 sessions

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Five distinct numbers a, b, c, d, e are in random order. If they are to be arranged in descending order, will 'd' be in the middle?

(1) c is greater than d and a but less than b.

(2) a is less than b but greater than d and e.
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Re: Five distinct numbers a, b, c, d, e are in random order. If they are  [#permalink]

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07 Jul 2018, 00:54
Top Contributor
amanvermagmat wrote:
Five distinct numbers a, b, c, d, e are in random order. If they are to be arranged in descending order, will 'd' be in the middle?

(1) c is greater than d and a but less than b.

(2) a is less than b but greater than d and e.

Statement 1: c is greater than d and a but less than b
As no information is given about e, it could be anywhere, including the middle number or not
=> It is not certain that d will be the middle number
=> Insufficient

Statement 2: a is less than b but greater than d and e
As no information is given about c, it could be anywhere, including the middle number or not
=> It is not certain that d will be the middle number
=> Insufficient

However, by combining both the statements, the only possible (descending) orders are bcade and bcaed. In both, a is the middle number
=> d is not the middle number
=> sufficient

Thus, the answer is (C).
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Re: Five distinct numbers a, b, c, d, e are in random order. If they are &nbs [#permalink] 07 Jul 2018, 00:54
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# Five distinct numbers a, b, c, d, e are in random order. If they are

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