Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrong is 1 less than the number of questions he answered correct, then find the number of questions he answered correct.

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Solution

The correct option is B
13

Let number of questions answered correct be $x$

Number of questions answered wrong $= x - 1$

Marks scored = (marks for correct answers - marks for wrong answers)

$\Rightarrow 40 = 4 x - 1 (x - 1)$

$\Rightarrow 40 = 4 x - x + 1$

$\Rightarrow 39 = 3 x$

$\Rightarrow x = 13$

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Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrong is 1 less than the number of questions he answered correct, then find the number of questions he answered correct.

The correct option is B 13 Let number of questions answered correct be x Number of questions answered wrong =x−1 Marks scored = (marks for correct answers - marks for wrong answers) ⇒40=4x−1(x−1) ⇒40=4x−x+1 ⇒39=3x ⇒x=13