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Value of K

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Source: — Problem Solving |

by Anurag@Gurome » Thu May 31, 2012 11:26 am
satyavegi wrote:If X,Y and K positive numbers such that (10x/(x+y))+(20y/(x+y))=K and if x<y, then which of the following could be value of K?
K = [10x/(x + y)] + [20y/(x + y)]

Now, K is nothing but the weighted average of 10 ad 20 the weights being x and y respectively. Hence, K will be between 10 and 20. As x < y, the weighted average will be closer to 20 than 10.

Only such value among the options is 18.

The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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