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Question

In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the questions have the same credit. If the student gets 50% marks, the value of n is
  1. 100
  2. 40
  3. 50
  4. 20

A
100
B
40
C
50
D
20
Solution
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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)=50100×n

15+13(n20)=n2

90+2(n20)=3n

90+2n40=3n

n=50

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