Problem: A students answered all 22 questions in a test and received 63.5 marks. If the 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 student 3 questions answered incorrectly.
Explanation:
Total marks for correct answered = 22 x 3.5 = 77 marks
Student received 63.5 marks
The rest of marks = (77 — 63.5) = 13.5 marks
For 1 incorrect answer he loss = (3.5 + 1) = 4.5 marks
He loss 4.5 marks for 1 incorrect answer
He loss 13.5 marks for $\frac{13.5}{4.5}$ incorrect answer = 3
The student 3 questions answered incorrectly.