Question
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?

Answer

Given that,
Marks given for every correct answer $= +3$
And, Marks given for every wrong answer $= -2$
Also, it is given that:
Marks obtained by Radhika $= 20$
Correct answer $= 12$
Hence,
Marks obtained for correct answers $= 12 \times 3 = 36$
Therefore,
Marks obtained for incorrect answers $=$ Total marks – Marks obtained for correct answers
$= 20 – 36 = - 16$
As, marks obtained for 1 wrong answer $= - 2$
Hence, Number of incorrect answers $= \frac{-16}{-2} = 8$

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