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Question

In an examination of n question, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the question having same credit. If the student gets 50% marks, the value of n is.

A
20
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B
90
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C
50
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D
100
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Solution

The correct option is C 50
Student attempts n questions.

Out of 20 question he answers 15 correctly and of (n20) questions he answered 13 correctly.

The student gets 50% marks.

15+13(n20)=50% of n

15+13(n20)=50100n

15+n3203=n2

45203=n2n3

253=3n2n6

25=n2

n=50

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