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.

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Solution

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 $= 19 \times 4 + 19 \times - 2$
$= 19 \times (4 - 2) (using distributive property)$
$= 19 \times 2$
$= 38$

The property used here is distributive property

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