Sets, Relations and Functions Test

Result

Sets, Relations and Functions Test - 33

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Weekly Quiz Competition

Question 1
4 / -1

The function f(x) which satisfies

A

B

C

D

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

A
144

B
12

C
24

D
64

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

A

B

C

D
None of these

Solution
Question 6
4 / -1

A
3

B
6

C
12

D
9

Solution
Question 7
4 / -1

Let A = {x : x is a multiple of 3}
B = {x : x is a multiple of 5}
Then A ∩ B is given by

A
{3, 6, 9, ….}

B
{5, 10, 15, 20,….}

C
{15, 30, 45, ….}

D
none of these
Question 8
4 / -1

A
f is both one − one and onto

B
f is one − one but not onto

C
f is onto but not one − one

D
f is neither one − one nor onto

Solution
Question 9
4 / -1

Let A = {a, b, d, e }
B = {c, d, f, m}
C = {a, l, m, o}
Then C ∩ (A ∪ B) will be given by

A
{a, d, l, m}

B
{b, c, l, o}

C
{a, l, m}

D
{a, b, c, d, f, l, m, o}
Question 10
4 / -1

If sets A and B are defined as
A = {(x, y) : y = e^x, x ∈ R}
B = {(x, y) : y = x, x ∈ R}. Then

A
B ⊆ A

B
A ⊆ B

C
A ∩ B = φ

D
A ∪ B = R