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# If a, b, c, d, e are positive integers such that a<b<c<d<e, then what

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CEO
Joined: 08 Jul 2010
Posts: 2569
Location: India
GMAT: INSIGHT
WE: Education (Education)
If a, b, c, d, e are positive integers such that a<b<c<d<e, then what  [#permalink]

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29 Sep 2018, 23:21
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35% (medium)

Question Stats:

71% (00:58) correct 29% (01:22) wrong based on 17 sessions

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If a, b, c, d, e are integers such that a<b<c<d<e, then what is the positive difference between averages of Sets (b, c, d, e) and (a, b, c, d)

1) a, b, c, d, e are consecutive integers
2) a = 5

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Re: If a, b, c, d, e are positive integers such that a<b<c<d<e, then what  [#permalink]

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30 Sep 2018, 02:03
GMATinsight wrote:
If a, b, c, d, e are integers such that a<b<c<d<e, then what is the positive difference between averages of Sets (b, c, d, e) and (a, b, c, d)

1) a, b, c, d, e are consecutive integers
2) a = 5

Source: http://www.GMATinsight.com

Average of,c, d,e,b= (b+c+d+e)/4
And average of a,b,c,d = (a+b+c+d)/4

Difference = $$\frac{e+d+c+b}{4}+\frac{a+b+c+d}{4}$$=\frac{e-a}{4}
So we require value of e and a
1) a,b,c,d,e are consecutive integers
So e=a+5.....e-a=5
Sufficient
2) a=5
Insufficient

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If a, b, c, d, e are positive integers such that a<b<c<d<e, then what &nbs [#permalink] 30 Sep 2018, 02:03
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