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A set consists of 11 different numbers. If x is a number in the list a

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A set consists of 11 different numbers. If x is a number in the list a  [#permalink]

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New post 04 Oct 2018, 00:14
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Question Stats:

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A set consists of 11 different numbers. If x is a number in the list and is three times the average (arithmetic mean) of the other 10 numbers in the list, then x is what fraction of the sum of the 11 numbers in the list?

(A) 1/10
(B) 3/13
(C) 4/11
(D) 2/11
(E) 5/11

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Re: A set consists of 11 different numbers. If x is a number in the list a  [#permalink]

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New post 04 Oct 2018, 00:23
Answer : B
so given that, x=3(AVG(10numbers))
i.e. x=3(Sum of 10 numbers)/10

What we need to find is x/(x + Sum of 10 Numbers)

substitute above value for x, you'd get 3/13.
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Re: A set consists of 11 different numbers. If x is a number in the list a  [#permalink]

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New post 05 Oct 2018, 19:55
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Bunuel wrote:
A set consists of 11 different numbers. If x is a number in the list and is three times the average (arithmetic mean) of the other 10 numbers in the list, then x is what fraction of the sum of the 11 numbers in the list?

(A) 1/10
(B) 3/13
(C) 4/11
(D) 2/11
(E) 5/11



Let the average of remaining 10 numbers be 'y' and accordingly,their sum would be 10y. As per the question stem, x = 3y.
Fraction of 'x' to the sum of all 11 numbers would simply mean x/10y+3y = 3y/13y = 3/13.

Hence,B is the correct choice.
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Re: A set consists of 11 different numbers. If x is a number in the list a &nbs [#permalink] 05 Oct 2018, 19:55
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