WBCS.LIVE practice question

In an examination of 100 students, 60 students passed in Mathematics, 50 students passed in English, and 20 students failed in both subjects. How many students passed in both Mathematics and English?

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

Answer options

  1. 20
  2. 30
  3. 40
  4. 10

Correct answer and explanation

Correct answer: 30

Explanation: āœ… Correct Answer: B) 30 šŸ“š Explanation: The total number of students is 100. Since 20 students failed in both, the number of students who passed in at least one subject is 100 - 20 = 80. According to the set theory formula: n(Math or English) = n(Math) + n(English) - n(Both). Substituting the values: 80 = 60 + 50 - n(Both). Therefore, n(Both) = 110 - 80 = 30.