Indian Institute of Foreign Trade 2011 Solved Paper

Question : 44 of 120

Marks: +1, -0

While preparing for a management entrance examination Romit attempted to solve three paper, namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is observed that one-third of the marks obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English By 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?

Validate

Solution:

Let 'a' and 'b' be the marks obtained by Romit in Verbal English and Logical Analysis respectively. It is given that,

a+b+70=210

a+b=140

.... (1)
It is observed that one-third of the marks obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English By 5.

b/3-a/2=5

2b−3a=30

.....(2)
On solving equation (1) and (2) we get

b=90

and

a=50

Hence, the difference between the marks obtained by him in Mathematics and Verbal English

=70-50=20.

Therefore, option C is the correct answer.

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