10. In a survey of 122 consumers conducted in a shopping mall, 82 consumers indi

Question

10. In a survey of 122 consumers conducted in a shopping mall, 82 consumers indicated that they buy brand A of a certain product, 71 buy brand B, and 46 buy both brands. How many consumers participating in the survey buy only brand A? A) 35 consumers B) 17 consumers C) 87 consumers D) 36 consumers E) 51 consumers F) 56 consumers 11. In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers? A) 68 B) 58 C) 46 D) 36 E) 56 12. On a certain day, the Wilton County Jail had 183 prisoners. Of these, 127 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? A) 89 prisoners B) 61 prisoners C) 64 prisoners D) 73 prisoners E) 68 prisoners F) 87 prisoners 13. If n(A) = 12, n(A n B) = 8, and n(A u B) = 18, what is n(B)? A) 4 B) 16 C) 14 D) 2 E) 6 F) 12 14. Let A and B be subsets of a universal set U and suppose n(U) = 210, n(A) = 100, n(B) = 60, and n(A n B) = 30. Compute n(Ac n Bc). A) 80 B) 100 C) 90 D) 200 E) 150 F) 180 15. Let A and B be subsets of a universal set U and suppose n(U) = 190, n(A) = 100, n(B) = 70, and n(A n B) = 50. Compute n(Ac). A) 40 B) 90 C) 30 D) 20 E) 170 F) 10 18. In a card game, a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a

Explanation / Answer

10. n(A u B) = n(A) + n(B) + n(A n B) => only brand A = brand A = both = 82 - 46 = 36

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