Question

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

Hint:

In problems involving scoring systems, set up an equation based on the number of correct and wrong answers to find the unknowns.

Answer 1

The Correct Option is B

Let the number of correct answers be \( x \). Then the number of wrong answers will be \( 60 - x \). The total score is calculated as: \[ 4x - (60 - x) = 130 \] Simplifying the equation: \[ 4x - 60 + x = 130 \] \[ 5x - 60 = 130 \] \[ 5x = 190 \] \[ x = 38 \] Thus, the student answered 38 questions correctly. The number of wrong answers is \( 60 - 38 = 22 \).
Step 2: Conclusion.
Hence, the number of wrong answers is 22. Therefore, the correct answer is 2. 22.