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# a, b, c, d, and e are five different positive integers. Which of the

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
a, b, c, d, and e are five different positive integers. Which of the  [#permalink]

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14 Sep 2016, 04:57
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92% (00:55) correct 8% (01:02) wrong based on 88 sessions

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a, b, c, d, and e are five different positive integers. Which of the five is the median?

(1) a + c < b

(2) d < e

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Joined: 26 Nov 2012
Posts: 592
Re: a, b, c, d, and e are five different positive integers. Which of the  [#permalink]

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14 Sep 2016, 06:03
Bunuel wrote:
a, b, c, d, and e are five different positive integers. Which of the five is the median?

(1) a + c < b

(2) d < e

Stat 1: We don't have information about d and e, and we can't infer anything about a,c and b...Insufficient.

Stat 2: we have d<e...we don't have information about other integers...Insufficient...

Stat 1+2 : We can't infer any relationship between this...Insufficient.

IMO option E.
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Joined: 11 Apr 2016
Posts: 42
Location: India
Concentration: Marketing, Technology
Re: a, b, c, d, and e are five different positive integers. Which of the  [#permalink]

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14 Sep 2016, 21:42
I would also go with e.

Important thing to note in the question is a,b,c,d,e are different positive integers and not positive SUCCESSIVE integers.

Hence they could hold any value from 1 to infinity. To find the median we need to arrange the numbers in ascending/descending order. For 5 numbers, median would be the middle i.e. 3 number

Statement 1 :

b > a + c.... does not give us any relation between d and e.

Statement 2 :

e> d... again does not give us a relation of a,b and c

Combining both statements :

Still we are not able to determine a definite order in which they could be arranged.

Possible outcomes which satisfy both conditions could be :

d a c e b -> Median would be c

a c d e b -> Median would be e

Hence correct choice is E
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Joined: 30 Jan 2016
Posts: 931
Location: United States (MA)
Re: a, b, c, d, and e are five different positive integers. Which of the  [#permalink]

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15 Sep 2016, 00:56
Should be E

(1) a + c < b
1+2 < 100

Nothing said about d and e. So, d and e could be between c and b (2 and 100 ), or greater than b (100)

(2) d < e
Nothing said about a, b and c.

(1)&(2) nothing new.
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Re: a, b, c, d, and e are five different positive integers. Which of the  [#permalink]

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19 Oct 2018, 03:33
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Re: a, b, c, d, and e are five different positive integers. Which of the   [#permalink] 19 Oct 2018, 03:33
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