In an objective type question paper, 5 marks are awarded for a correct answer and 2 marks are deduct — CSAT 2026 Answer & Explanation

2026

In an objective type question paper, 5 marks are awarded for a correct answer and 2 marks are deducted for a wrong answer. A student attempted all the questions and got a score of 69. Had he been awarded 4 marks for a correct answer and 1 mark deducted for a wrong answer, he would have scored 84. How many questions were there in the question paper?

Explanation

Let the number of correct answers be $x$ and the number of wrong answers be $y$ . The equations from the scoring are:

$5x - 2y = 69$
$4x - y = 84$

Solving these equations, we find $x + y = 81$ , indicating there are 81 questions in total.

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