A candidate attempted 12 questions and secured full marks in all of them. If…
2022
A candidate attempted 12 questions and secured full marks in all of them. If he obtained 60% marks in the test and all questions carried equal marks, then what is the number of questions in the test?
Answer: D. 20 — Solution: Let the total number of questions be N. The candidate answered 12 questions correctly, so the fraction correct is 12/N. The percentage score is…
- A.
36
- B.
30
- C.
25
- D.
20
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Correct answer: D
Solution: Let the total number of questions be N.
The candidate answered 12 questions correctly, so the fraction correct is 12/N. The percentage score is (12/N)×100, and this equals 60.
Set up the equation: (12/N) × 100 = 60
Solve for N: 12/N = 60/100 = 0.6, so N = 12 ÷ 0.6 = 20.
Check: (12/20) × 100 = 60%.
Answer: 20 questions.
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