Question:
In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions a student got a total of 387 marks. Find the number of questions that he attempted wrong.
In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions a student got a total of 387 marks. Find the number of questions that he attempted wrong.
Updated On: Sep 25, 2024
- 36
- 18
- 9
- 27
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The Correct Option is C
Solution and Explanation
Let's take the number of correct answers be C and the number of wrong answers be W.
C + W = 90 — Equation(1)
5C - 2W = 387 —Equation(2)
After Multiplying equation 1 by 5 and then subtracting it from Equation 2, we get
7W = 450 - 387 = 63
W = \(\frac{63}{7}\)
W = 9
The correct option is (C)
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