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1) In a class comprising 40 students, 15 students study economics & 8 students study only economics not history. If the students of the class study at least one of economics or history, then how many students study only history?A) 15 B) 25 C) 20 D) 10
2) In a group of 100 players, 45 play football & baseball & 15 play only football. How many play baseball?A) 85 B) 55 C) 65 D) 75
3) When a coffee manufacturer interviews 120 girls in a university, 55 like product A, 45 liked product B,50 liked C & 15 liked B & C and 20 liked A & C,20 liked A & C and there was no one who liked all the three. How many girls liked none ?A) 20 B) 30 C) 35 D) 25
Answer & Explanation
Answer: 25 (No of students who liked at least one product = n (A ∪ B ∪ C) = n(A) + n(B) +n(C) - n(A ∩ B) -n(A ∩ C) -n(B ∩ C) - n(A ∩ B ∩ C)= 55+45+50 -15 -20 -20
No of girls who liked none of the products = Total no of girls interviewed- No of girls who liked at least one of the products = 120 - 95 = 25)
4) The employees of a company come to work by one or two modes transport: car, bus, two-wheeler.40 travel by car.35 travel by bus 20 by two-wheeler,10 both by car & bus. How many employees are there in the companyA) 65 B) 95 C) 85 D) 55
5) In a class of 250 students, 35 are interested in playing chess, poker & cards; 45 are not interested in any of these games. If 50,15,25 are interested in playing only chess , only poker, only cards respectively, how many students are interested in only two of three games?A) 80 B) 85 C) 65 D) 75
Answer & Explanation
Answer: 85 (No of students interested in two of the games = 250-(35+45+50+15+25) = 85)
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