Relation and functions

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AAI ATC – Relations & Functions MCQ (Light Theme)
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AAI ATC MATHS PRACTICE

Relations & Functions – MCQ

20 Questions • Aviation Light Theme

1) Which of the following is a function?
A = {(1,2), (1,3), (2,4)}
B = {(2,5), (3,6), (4,7)}
C = {(5,8), (5,8), (5,9)}
D = {(1,4), (2,4), (4,4)}
Correct → B and D are functions
2) Domain of {(2,5), (3,6), (4,8), (2,7)} is:
{5,6,8,7}
{2,3,4}
{2,3,4,7}
{2}
Correct → {2,3,4}
3) Range of {(1,1), (2,3), (4,3)} is:
{1,3}
{1,2,3,4}
{3,4}
{1}
Range = {1,3}
4) Every function is always a:
Relation
Mapping only
One–one
Onto
Every function is a relation ✔
5) If A = {1,2} and B = {3,4,5}, number of relations from A to B:
6
8
32
64
2⁶ = 64 → Correct answer 64
6) n(A)=5, n(B)=3 → number of functions from A to B?
15
125
243
75
3⁵ = 243
7) A function cannot map one element to:
Two different outputs
The same output
Real numbers
Integers
It cannot map one input to two different outputs
8) If f(x)=3x+2, find f(4):
10
12
14
3
3×4 + 2 = 14
9) If f(x)=x² – 1, find f(–3):
8
9
10
–8
(–3)² – 1 = 9 – 1 = 8
10) Which is One–One?
f(x)=2x
f(x)=x²
f(x)=5
f(x)=|x|
f(x)=2x ✔
11) Onto function means:
All co-domain elements used
No mapping
Only 1 mapped
Two outputs
All co-domain elements are mapped ✔
12) (f ∘ g)(x) = ?
f(x)+g(x)
g(f(x))
f(g(x))
f(x)×g(x)
f(g(x)) ✔
13) If f(x)=x+3, find f(0):
2
3
5
6
14) f(–x) = –f(x) means:
Even
Odd
Constant
Zero
15) f: R → R means:
Real → Real
Integer → Real
Real → Integer
Natural → Real
16) f(x)=x² is:
One–one
Onto
2–1 mapping
Identity
17) Which is true?
Domain = Range
Range ⊆ Co-domain
Co-domain ⊆ Range
Domain ⊆ Range
18) Bijective means:
1–1 only
Onto only
1–1 and Onto
None
19) For inverse to exist, function must be:
Constant
Bijective
Many–one
Zero
20) {(1,2), (1,4), (3,5)} is:
A function
Not a function
Bijective
1–1

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