In a survey of 140 students , 60 students like to play video games, 70 students like to play indoor games, and 75 students like to play outdoor games. - Quantitative Aptitude MCQ UP Police Constable 2026 | ExamTest.live

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In a survey of 140 students, 60 students like to play video games, 70 students like to play indoor games, and 75 students like to play outdoor games. Additionally, 30 students like to play both indoor and outdoor games, 18 like both video games and outdoor games, 42 play both video games and indoor games, and 8 like all types of games . Use the Venn diagram to find the students who play only outdoor games.

Solution & Step-by-step Explanation

Let the three sets be V (Video games), I (Indoor games), and O (Outdoor games). Given data: * n (V) = 60 * n (I) = 70 * n (O) = 75 * n (I \cap O) = 30 * n (V \cap O) = 18 * n (V \cap I) = 42 * n (V \cap I \cap O) = 8 We need to find the number of students who play only outdoor games : Only O = n (O) - n (V \cap O) - n (I \cap O) + n (V \cap I \cap O) Substitute the values: Only O = 75 - 18 - 30 + 8 Only O = 75 - 48 + 8 = 27 + 8 = 35

Try it yourself before checking the explanation above.

In a survey of 140 students, 60 students like to play video games, 70 students like to play indoor games, and 75 students like to play outdoor games. Additionally, 30 students like to play both indoor and outdoor games, 18 like both video games and outdoor games, 42 play both video games and indoor games, and 8 like all types of games . Use the Venn diagram to find the students who play only outdoor games.

57

32

35

64

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