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
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Now, we know that for every incorrect answer =−2 marks. So, the total marks for incorrect answers = marks for incorrect answer × number of incorrect answers. Hence, the number of incorrect answers is 8.
Step-by-step explanation:
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Answer:
1) Let number of incorrect answers be x
Number of correct answers = 12 (Given)
so,
12 × 3 - x(2) = 20
or 36 - 2x = 20
or 2x = 36 - 20
or 2x = 16
or x = 8
Radhika has attempted 8 questions incorrectly
2) Let the number of incorrect answers be x
Number of correct answers = 7 (Given)
So,
7 × 3 - 2 × x = -5
or 21 - 2x = -5
or 2x = 21 + 5
or 2x = 26
or x = 13
Mohini has attempted 13 answers incorrectly
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