10 (68) + 16 (-32)
4. In a competitive examination, 5 marks are awarded for each correct answer, 2 marks are
deducted for each incorrect answer and no marks are given for a question which is not attempted.
(a) Nishi appeared in the examination and attempted 12 questions correctly and 5 questions
incorrectly. However she did not attempt 3 questions. What will be her score?
(b) Rohan attempted 7 questions correctly and 9 questions incorrectly. He did not attempt
4 questions. What will be his score?
Answers
Step-by-step explanation:
marks are awarded for each correct answer
2 marks are deducted for each incorrect answer
0 marks are awarded for a question which is not attempted
To find:
(a) Nishi appeared in the examination and attempted 12 questions correctly and 5 questions incorrectly. However she did not attempt 3 questions. What will be her score?
(b) Rohan attempted 7 questions correctly and 9 questions incorrectly. He did not attempt 4 questions. What will be his score?
Solution: We can formulate a relation,
Total score = 5A - 2B + 0C
where A = number of correct answers
B = number of incorrect answers
C = number of no attempts
(a) Here A = 12, B = 5 and C = 3.
Then Nishi's score is
= 5 × 12 - 2 × 5 + 0 × 3
= 60 - 20 + 0
= 40 .
(b) Here A = 7, B = 9 and C = 4.
Then Rohan's score is
= 5 × 7 - 2 × 9 + 0 × 4
= 35 - 18 + 0
= 17 .
Answer:
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