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# A certain list consists of 21 different numbers. If n is in

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A certain list consists of 21 different numbers. If n is in [#permalink]  03 Oct 2004, 06:27
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A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?

A. 1/20

B. 1/6

C. 1/5

D. 4/21

E. 5/21
Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
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C. 1/5

n=(4)*(K/20), where (K/20) = AM of the 20 numbers.
=> n= 1/5.
Director
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B. 1/6.

1.X+n = 21Y

2. also, n=4X/20 = (1/5)X

substituting 2 in 1 => X+X/5 = 21Y =>n=(21/6)Y

we need to find n/21Y =?

=>(21/6)Y/21Y = 1/6
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Either yu r posting questions or yu r the first one to answer them venkune .
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Franky
http://franky4gmat.blogspot.com

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Re: PS: A.M [#permalink]  08 Oct 2004, 09:26
A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?

A. 1/20

B. 1/6

C. 1/5

D. 4/21

E. 5/21

Let X be the sum of the other 20, then it means that n= 4X/20 = X/5
Total of 21 numbers then become X + X/5 = 6x/5

Fraction of n = X/5 divided by 6x/5 = 1/6
Re: PS: A.M   [#permalink] 08 Oct 2004, 09:26
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