A) a null and set
B) {(4,2),(4,3)}
C) {(2,4)},(3,4)}
D) {(2,4),(3,4),(4,4)}
2) A is a set whose elements are Integers obtained by adding 1 to each even integers; then the representation of the set in property method is
A) A={x:x is an odd integer and x ∈ Z}
B) A={x:x is an integer}
C) A= {x: x is an even integer}
D) A={x: x is an odd integer and x >1}
3) In a class of 30 pupils, 12 have taken mathematics, 16 have taken physics and 18 have taken chemistry. If all the 30 pupils take at least one subject and no one have taken all the three subjects, then the number of pupils taking 2 subjects is
A) 16 B) 10 C) 12 D) 8
4) If P(A) is the power set of the set A={1,3,5,7}, then which one of the following is true ?
A) {1,3} subset and equal P(A)
B) {1,3} subset P(A)
C) {1,3} belongs to P(A)
D) {1,3} not belong to P(A)
5) A={x: - 1≤ x ≤ 2} and
B={x: 0< x≤4}, then the set A∩B is
A) { 0,1,2} B){1,2}
C={x: 0≤ x≤2}
D) {x: 0< x≤2}
6) Three sets A, B, C are such that A= B∩ C and B= C∩A, then
A) A is subset of B
B) A is super subset of B
C) A= B
D) A is subset of B'
7) A and B are subsets of the universal set U such that n(U)=800, n(A)= 300, n(B) = 400 and n(A∩B)= 100, then the number of elements in the set (A'∩ B') is equal to
A) 100 B) 200 C) 300 D) 400
8) if A={1,2,3,4,5}, B={2,4,6} and C={3,4,6} then (A U B)∩C is
A) {1,2,3} B={3,4,5} C={1,2,6} D={3,4,6}
9) If the sets A and B have 99 common elements, then the number of elements common to A x B and B x A is
A) 99 B) 99² C) 100 D) 2⁹⁹
10) In a class consisting of 120 students, 65 students drink tea and 84 students drink coffee. If x students drink both tea and coffee, then the value of x is
A) 40 B) 29≤ x≤ 65
C) 65 D) 29≤ x ≤ 84
11) If Z be the set of all integers then the number of elements in the set {(a,b): 2a²+ 3b²= 35, a, b ∈Z} is
A) 16 B) 8 C) 4 D) 12
12) Given n(S)= 20, n(A)= 12, n(B)= 9, n(A∩B)=4 where S is the Universal set and A, B are subsets of S, then the value of n[(AUB)'] is
A) 3 B) 9 C) 11 D) 17
13) If ∅ is the null set, then which one of the following is true ?
A) ∅∈Z B) {∅} ∈ {∅}
C) ∅ ∈ {∅}. D) 0 ∈ ∅
14) Two finite sets it have m and n elements. The number of elements in the power set of first set is to 240 more than the total number of elements in the power set of the second set. Then values of m and n are respectively.
A) 6,3 B) 7,4 C) 9,3 D) 8,4
15) If A={x: -1 ≤ x≤ 2} and B={x: 0< x ≤ 4} are two given sets, then the set A ∩B is
A) {x: 0< x< 2} B) {x: 0≤ x< 2}
C) {x: 0< x≤ 2} D) {x: 0≤ x≤ 2}
16) which one of the following sets is the null set?
A) A={∅}
B) B={x: x is a prime numbers and 31 < x<37 }
C) C={x : x+ 1= 1}
D) D={x : x is an integer 0< x≤1}
17) For any two sets A and B, A- (A - B) equals
A) B B) A - B C) A ∩B D) A' ∩B'
18) A and B are two finite sets, if n(A)= 65 and n(A∩B)= 34, then the value of n(A - B) is
A) 31 B) 99 C) null set D) none
19) 34 candidates appeared for an examination, 15 candidates passed in mathematics, 15 candidates passed in physics, 20 candidates passed in chemistry, three candidates passed only in mathematics, 4 candidates passed only in physics, seven candidates passed only in chemistry and two candidates in all the three subjects. Then, the number of candidates who passed only in two subjects is
A) 12 B) 14 C) 15 D) 10
20) Out of 40 boys 30 can swim, 27 can play chess and only five can do nothing. then the number of boys who can swim only is
A) 22 B) 8 C) 5 D) none
21) Which of the following is a null set
A) A={x: x is the cube of an integers 2 ≤ x ≤7}
B={0}
C) C={∅}
D) D={x: x is an integer and 2< x ≤3}
22) If x ∈ to AU B, then which of the following is true?
A) x ∈B B) x ∈ A
C) x ∈ A ^ x ∈ B
D) x ∈ A but x ∈ B
23) Given A={21, 23,27,29}, B={22, 29}. Then the number of proper subsets of A U B is
A) 20 B) 31 C) 19 D) 32
24) Representation of the following set in roster form is
{S= x: x is real and x² + 5x +6= 0}
A) {3,2} B) {2,3} C) {- 3,-2} D) none
25) If X={x: x is an even integer and 6 < x≤ 20} and Y={x : x is a multiple of 3 and 0≤ x≤ 25}, then Y - (X ∩Y) is
A) null set B) {0,3,6,9,15,21,24}
C) X' D) Y'
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