Problem: A candidate answered all 22 question is a test and received 63.5 marks. If the total marks were derived by adding 3.5 marks for each correct answer and deducting 1 mark for each incorrect answer, how many questions did the student answer incorrectly?
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Correct Answer: The candidate 3 questions answered incorrectly.
Explanation:
Total marks for correct answered = 22 x 3.5 = 77 marks
Candidate received 63.5 marks
The rest of marks = (77 — 63.5) = 13.5 marks
For 1 incorrect answer he loss = (3.5 + 1) = 45 marks
He loss 4.5 marks for 1 incorrect answer
He loss 13.5 marks forts $\frac{13.5}{4.5}$ incorrect answer = 3
The candidate 3 questions answered incorrectly.