WBCS.LIVE practice question

There are 75 questions in a question paper, each carrying 2 marks. 1 mark is deducted for each question answered incorrectly. A student answering all the questions got 45 marks. What is the number of questions correctly answered by the student?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 42
  2. 41
  3. 45
  4. 40

Correct answer and explanation

Correct answer: 40

Explanation: āœ… Correct Answer: D) 40 šŸ“š Explanation: Let the number of correct answers be 'C'. With 2 marks for a correct answer and -1 for a wrong one, the equation for a student answering all 75 is 2C - (75 - C) = 45. This simplifies to 3C - 75 = 45, which means 3C = 120. Therefore, C equals exactly 40. The student answered 40 questions correctly and 35 incorrectly.