In a class test (+3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?

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Solution

The correct option is A 8
Marks awarded for 1 correct answer = + 3
Marks awarded for 1 wrong answer = -2
Radhika scored 20 marks.

Then,
Total marks awarded for 12 correct answers
= 12 × 3 = 36
Marks awarded for incorrect answers
= Total score – Total marks awarded for 12 correct
answers
= 20 – 36 = – 16
So, the number of incorrect answers made by Radhika $= \frac{- 16}{- 2} = 8$

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