1) Let S be an infinite set and S1, S2, S3, ..., Sn be sets such that S1 ∪S2 ∪ S3∪....Sn = S then a) Atleast one of the sets Si is a finite set b) Not more than one of the set Si can be infinite c) Atleast one of the sets Si is an infinite set d) None of these 2) If A and B are sets and A∪ B= A ∩ B, then a) A= Φ b) B= Φ c) A=B d) None of these 3) Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B a) P 2 b) p x q c) p + q d) 2 pq 4) In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all a) 18 b) 36 c) 24 d) None of these 5) There are 230 students. 80 play football, 42 play soccer and 12 play rugby. 32 play exactly 2 sports and 4 play all three. How many students play none? a) 132 b) 136 c) 94 d) 140 6) In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects? a) 19 b) 41 c) 47 d) 21 7) Among 200 ppl, 56% like strawberry, 44% like apple, and 40% like raspberry. IF 30% of people like both strawberry and apple, what is the LARGEST possible number of people who like raspberry but do not like either strawberry or apple? a) 20 b) 60 c) 80 d) 89 8) In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person like at least one of the two drinks. How many like both coffee and tea a) 30 b) 15 c) 14 d) 9 9) In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?  a) 30 b) 10 c) 18 d) 28 10) Which of the following sets are null sets? a) {0} b) Φ c) { } d) both (b) & (c)

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