Logic Puzzles

78. Score Calculation in a Quiz

Out of 108 questions, a person gets zero. Find out the number of questions he got wrong, given that each question carries 1 mark and there is a negative marking of 1/3 for each wrong question answered.

Added 24 January 2014 · Updated 5 July 2026

Solution:

Assuming he answered all 108 questions:

Let:

Correct answers = x

Wrong answers = 108−x

Score:

x−
3
1


(108−x)=0

Multiply by 3:

3x−108+x=0
4x=108
x=27

So he got:

108−27=81

wrong answers.

Answer: 81 wrong, 27 correct.


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