BPSC CCE Prelims
Venn Diagrams / Set Theory Previous Year Questions (PYQs)
Practice solved questions for Venn Diagrams / Set Theory with detailed step-by-step solutions, key insights, and trend analysis for BPSC CCE PRELIMS.
Solved Previous Year Questions
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In a class of 55 students, 34 like to play Cricket and 26 like to play Badminton. Also, each student likes to play at least one of the two games. How many students like to play both Cricket and Badminton?
Detailed Explanation:
Apply the set theory formula: Total = Cricket + Badminton − Both. Given 55 students total, 34 like cricket, 26 like badminton, and each student plays at least one game.
Substitute: 55 = 34 + 26 − Both ⇒ Both = 60 − 55 = 5 students.
Therefore, 5 students like both games, making Option 2 the correct answer.
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