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A student attempts x number of questions. He answers 15 correctly out of first 20 questions and of the remaining questions, he answers 1/3 correctly. If all questions have same credit and the student gets 50 % marks, then find the value of x.

A. 

30

B. 

35

C. 

45

D. 

50

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Answer with explanation

Answer: Option D

Explanation

Student attempts x questions.
2) Out of 20 questions he answers 15 correctly and of (x – 20) questions he answered 1/3 correctly.
3) The student gets 50 % marks.
Therefore,

15 + 1 (x – 20) = 50% of x
3
15 + 1 (x – 20) = 50 × x
3 100
15 + 1 (x – 20) = x
3 2

90+2 (x-20)=3x
Solving this equation, we get
x=50
Hence, the number of question attempted by the students = 50

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