Set Theory MCQs | Set Theory Multiple Choice Questions and Answers

Sports GK Questions and Answers 2024 (Latest Updated)

Awards & Honours GK Questions 2024 (Latest Updated)

Questions
1 A __________ is an ordered collection of objects.
A Relation
B Function
C Set
D Proposition

Answer: Set
2 Power set of empty set has exactly _________ subset.
A One
B Two
C Zero
D Three

Answer: One
Advertisement
Article and Schedule Quiz Start Test!
DOWNLOAD CURRENT AFFAIRS PDF FROM APP
3 What is the Cartesian product of A = {1, 2} and B = {a, b}?
A {(1, a), (1, b), (2, a), (b, b)}
B {(1, 1), (2, 2), (a, a), (b, b)}
C {(1, a), (2, a), (1, b), (2, b)}
D {(1, 1), (a, a), (2, a), (1, b)}

Answer: {(1, a), (2, a), (1, b), (2, b)}
4 Which of the following two sets are equal?
A A = {1, 2} and B = {1}
B A = {1, 2} and B = {1, 2, 3}
C A = {1, 2, 3} and B = {2, 1, 3}
D A = {1, 2, 4} and B = {1, 2, 3}

Answer: A = {1, 2, 3} and B = {2, 1, 3}
5 The members of the set S = {x | x is the square of an integer and x < 100} is ________________
A {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
B {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
C {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
D {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

Answer: {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
6 The number of subsets of a set containing n elements is
A n
B 2n 1
C n2
D 2n

Answer: 2n
7 If A = {1, 3, 5, B} and B = {2, 4} then
A 4  A
B {4}  A
C B  A
D 180° and 0°

Answer: None of these
8 The symmetric difference of A = {1, 2, 3} and B = {3, 4, 5} is
A {1, 2}
B {1, 2, 4, 5}
C {4, 3}
D {2, 5, 1, 4, 3}

Answer: {1, 2, 4, 5}
9 If A = {1, 2} and B = {0, 1}, then A  B is
A {(1, 0) (1, 1), (2, 0) (2, 1)}
B {(1, 0), (2, 1)}
C {(1, 1), (1, 2), (0, 1) (0, 2)
D None of these

Answer: {(1, 0) (1, 1), (2, 0) (2, 1)}
10 If A = {1, 2, 3}, B = {3, 4, 5}, then (A  B)  A is
A {(1, 3), (2, 3), (3, 3)}
B {(3, 1), (3, 2), (3, 3)
C {(1, 3), (3, 1), (3, 2)
D None of these

Answer: {(3, 1), (3, 2), (3, 3)
11 If A = {2, 3, 4}, B = {2, 5, 6}, then (A  B)  (A  B) is
A {(3, 2), (3, 3), (3, 5)
B {(3, 2), (3, 5) (3, 6)
C {(3, 2), (3, 5)}
D None of these

Answer: {(3, 2), (3, 5)}
12 If A = {1, 2}, B = {2, 3} and C = {4}, then A  B  C is
A {(1, 2, 4), (2, 2, 4), (1, 3, 4), (2, 3, 4)
B {(1, 2, 4), (1, 4, 3), (2, 3, 4)
C {(1, 3, 4), (2, 3, 4), (2, 1, 3), (2, 2, 4)
D None of these

Answer: {(1, 2, 4), (2, 2, 4), (1, 3, 4), (2, 3, 4)
13 If A = {2, 3} and B = {x | x  N and x < 3}, then A  B is
A {(2, 1), (2, 2), (3, 1), (3, 2)}
B {(1, 2), (1, 3), (2, 2), (2, 3)}
C {(1, 2), (2, 2), (3, 3), (3, 2)
D None of these

Answer: {(2, 1), (2, 2), (3, 1), (3, 2)}
14 If R = {x, y) : x, y  Z, x2 + y2  4} is a relation in z, then domain of R is
A {0, 1, 2}
B {– 2, – 1, 0}
C {– 2, – 1, 0, 1, 2}
D None of these

Answer: {– 2, – 1, 0, 1, 2}
15 R is a relation defined in Z by aRb if and only if ab  0, then R is
A reflexive
B symmetric
C transitive
D equivalence

Answer: equivalence
16 If R be relation ‘<‘ from A = {1, 2, 3, 4} to B = {1, 3, 5} ie, (a, b)  R iff a < b, then RoR– 1 is
A {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
B {(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
C {(3, 3), (3, 5), (5, 3), (5, 5)}
D { (3, 3), (3, 4), (4, 5)}

Answer: {(3, 3), (3, 5), (5, 3), (5, 5)}
17 R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x – 3. The relation R – 1 is
A {(11, 8), (13, 10)}
B {(8, 11), (10, 13)}
C {(8, 11), (9, 12), (10, 13)}
D None of the above

Answer: {(8, 11), (10, 13)}
18 Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then, n (X Y) is equal to
A 4
B 6
C 8
D 12

Answer: 12
19 Two finite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m is
A 7
B 9
C 10
D 12

Answer: 7
20 The relation R defined on the set of natural numbers as {(a, b): a differs from b by 3} is given
A {(1, 4), (2, 5), (3, 6), ….}
B { (4, 1), (5, 2), (6, 3), ….}
C {(4, 1), (5, 2), (6, 3), ….}
D None of the above

Answer: { (4, 1), (5, 2), (6, 3), ….}

Random GK Questions

Q. Devaluation means :
Q. Degrees of prohibited relationships is applicable between two persons if they are related by
Q. In the context of India’s Five Year Plans, a shift in the pattern of industrialization, with lower emphasis on heavy industries and more on infrastructure begins in
Q. The name of the famous person of India who returned the knighthood conferred on him by the British Government as a token of protest against the atrocities in Punjab in 1919 was:
Q. A country’s balance of trade is unfavourable when
Q. How many strings are on a Sarod ?
Assam Direct Recruitment Test Series

Teacher Eligibility Test

Assam Direct Recruitment Test Series