Sets, Relations and Functions Test

Result

Sets, Relations and Functions Test - 60

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Weekly Quiz Competition

Question 1
4 / -1

The value of (A ∪ B ∪ C) ∩ (A ∩ B^c ∩ C^c)^{c ∩ C^c, is}

A
B ∩ C^c

B
B^c ∩ C^c

C
B ∩ C

D
A ∩ B ∩ C

Solution
Question 2
4 / -1

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A ∪ B

A
3

B
6

C
9

D
18

Solution
Question 3
4 / -1

If A = [(x, y) : x² + y² = 25] and B = [(x, y) : x² + 9y² = 144], then A ∩ B contains

A
One point

B
Three points

C
Two points

D
Four points

Solution
Question 4
4 / -1

If A = [x : x is a multiple of 3] and B = [x : x is a multiple of 5], then A – B is

A

B

C

D

Solution
Question 5
4 / -1

If A = {x : x² – 5x + 6 = 0}, B = {2, 4}, C = {4, 5}, then A × (B ∩ C) is

A
{(2,4), (3, 4)}

B
{(4,2), (4, 3)}

C
{(2, 4), (3, 4), (4, 4)}

D
{(2, 2), (3,3), (4, 4), (5, 5)}

Solution
Question 6
4 / -1

Let A = {1,2,3,4,5}; B = {2,3,6,7}. Then the number of elements in (A × B) ∩ (B × A) is

A
18

B
6

C
4

D
0

Solution
Question 7
4 / -1

Let R be relation on the set N be defined by {(x, y)| x, y ϵ N, 2x + y = 41}. Then R is

A
Reflexive

B
Symmetric

C
Transitive

D
None of these
Question 8
4 / -1

Let R be the relation on the set R of all real numbers defined by a R iff |a – b| ≤ 1. Then R is

A
Reflexive and symmetric

B
Symmetric only

C
Transitive only

D
Anti – symmetric only

Solution
Question 9
4 / -1

Let R be a relation on the set N of natural numbers defined by nRm ⇔ n is a factor of m(i.e., n|m). Then R is

A
Reflexive and symmetric

B
Transitive and symmetric

C
Equivalence

D
Reflexive, transitive but not symmetric
Question 10
4 / -1

Let a relation R be defined by R = {(4, 5); (1, 4); (4, 6); (7, 6); (3, 7)} then R^–1 oR is

A
{(1,1), (4, 4), (4, 7), (7, 4), (7, 7), (3,3)}

B
{(1,1), (4, 4), (7, 7), (3,3)}

C
{(1,5), (1, 6), (3, 6)}

D
None of these