In an exam, a candidate attempts 20 questions and scores 72 marks. If 5 marks are awarded for each correct answer and 2 marks are deducted for each wrong answer, then how many questions were answered correctly by him ?
[amp_mcq option1=”18″ option2=”17″ option3=”16″ option4=”15″ correct=”option3″]
This question was previously asked in
UPSC CAPF – 2020
Total questions attempted: c + w = 20
Total score: 5c – 2w = 72
From the first equation, w = 20 – c. Substitute this into the second equation:
5c – 2(20 – c) = 72
5c – 40 + 2c = 72
7c = 72 + 40
7c = 112
c = 112 / 7
c = 16
So, the candidate answered 16 questions correctly.