Question 45

Logical Reasoning Profit and Loss Medium

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If she/he attempts all 60 questions and secures 130 marks, the number of questions she/he attempts wrongly, are?

(A) 38
(B) 22
(C) 21
(D) 37
โœ“ Correct Answer: Option B Verified Solution

๐Ÿ“˜ Step-by-Step Solution & Detailed Explanation:

Solution

We are given:

  • Total questions: 60
  • Marks for correct answer: +4
  • Marks for wrong answer: -1
  • Total score: 130

Step 1: Let variables represent the unknowns

Let x = number of correct answers, y = number of wrong answers.
Since all questions are attempted, x + y = 60.

Step 2: Express total marks

Total marks = 4ยทx - 1ยทy = 130

Step 3: Solve the system of equations

From x + y = 60 โ†’ x = 60 - y
Substitute into total marks equation:
4(60 - y) - y = 130
240 - 4y - y = 130
240 - 5y = 130
5y = 110 โ†’ y = 22

Step 4: Conclusion

The student attempted 22 questions wrongly.

Answer: Option B

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