Question

In a class test containing 40 questions, 4 marks are awarded for every correct answer and -2 marks are awarded for every incorrect answer and 0 for not attempted questions Pranav gets 19 correct and 19 incorrect answers. What is his score? Also isslustrate the property used.

Answer 1

Given:
Pranav gets 19 correct and 19 incorrect answers.
4 marks are awarded for every correct answer.

So, for 19 correct answers, Pranav gets 19 × 4 marks.

Similarly, -2 are awarded for every incorrect answer.
So for 19 incorrect answers, Pranav gets 19 × -2 marks.

His total score $=19\times 4+19\times -2$
$=19\times (4-2)\left(\text{using distributive property}\right)$
$=19\times 2$
$=38$

The property used here is distributive property