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GATE 2023 CY – Question 4

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and (iii) the number of students who like both romantic movies and comedy movies is 20. How many students in the class like romantic movies?

  1. 40
  2. 20
  3. 60
  4. 30

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Show answer and explanation

Correct answer: (C) 60

Explanation

The union has 100−30=70 students. Inclusion-exclusion gives R+C−20=70, hence R+C=90. With R=2C, we obtain C=30 and R=**60, option C**. Both-genre students must be subtracted once because they occur in both counts.