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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:
(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?
(ii) Mohini scores -5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?



Answer -

Giventhat:
+3 marks are given for each correct answer. (-2) marks are given for eachincorrect answer. Zero marks for not attempted questions.
(i) Marks obtained by Radhika for 12 correct answers = (+3) × 12 = 36
Marks obtained by Radhika for correct answers = 12 × 3 = 36
Total marks obtained by Radhika = 20
∴ Marksobtained by Radhika for incorrect answers = 20 – 36 = -16
Number of incorrect answers
=(−16)÷(−2)=(−16)/(−2)=8
Hence, the required number of incorrectanswers = 8

(ii) Marks scored by Mohini = -5
Number of correct answers = 7
∴ Marksobtained by Mohini for 7 correct answers = 7 × (+3) – 21
Marks obtained for incorrect answers
= -5 – 21 = (-26)
∴ Numberof incorrect answers
= (-26) ÷ (-2) = 13
Hence, the required number of incorrect answers – 13.

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