Question

# A student appeard in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in VA was equal to the average of the percentage marks in all the 3 sections. Coincidentally, if we reverse the digits of the percentage marks of QA we get the percentage marks of Dl. The percentage marks in VA scored by the student could be :

A
48
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B
66
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C
69
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D
81
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Solution

## The correct option is B 66Let the percentage marks in QA = (10a + b)% Let the percentage marks in DI = (10b + a)% Let the percentage marks in VA = x% then (10a+b)+x+(10b+a)3=x⇒ 11a+11b+x=3x⇒ x=112(a+b) Thus the percentage of the VA section is a multiple of 11.

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