KCET SERIES Mathematics
Relations And Functions
13 previous year questions.
Volume: 13 Ques
Yield: Medium
High-Yield Trend
2
2026 1
2023 1
2020 4
2019 1
2011 4
2009 Chapter Questions 13 MCQs
01
PYQ 2009
medium
mathematics ID: kcet-200
On the set of all natural numbers , which one of the following is a binary operation ?
1
2
3
4
02
PYQ 2009
medium
mathematics ID: kcet-200
Which one of the following is not true ?
1
Identity element in a group is unique.
2
Inverse of an element in a group is unique
3
Fourth roots of unity form an additive abelian group.
4
Cancellation laws hold in a group.
03
PYQ 2009
medium
mathematics ID: kcet-200
The number of subgroups of the group is
1
2
2
1
3
3
4
4
04
PYQ 2009
medium
mathematics ID: kcet-200
In the group under addition modulo =
1
0
2
2
3
3
4
5
05
PYQ 2011
medium
mathematics ID: kcet-201
Define a relation on as if divides . is
1
reflexive and transitive
2
reflexive and symmetric
3
symmetric and transitive
4
equivalence
06
PYQ 2019
easy
mathematics ID: kcet-201
If , then the number of onto functions from A to B is
1
30
2
2
3
32
4
23
07
PYQ 2019
easy
mathematics ID: kcet-201
1
2
3
does not exist
4
08
PYQ 2019
medium
mathematics ID: kcet-201
f : R R and g : [0, ) R is defined by f(x) = and g(x) = . Which one of the following is not true?
1
fog (2) = 2
2
gof (4) = 4
3
gof (-2) = 2
4
fog (-4) = 4
09
PYQ 2019
easy
mathematics ID: kcet-201
On the set of positive rationals, a binary operation * is defined by a * b = . If 2 * x = then x =
1
2
3
4
10
PYQ 2020
medium
mathematics ID: kcet-202
If a relation R on the set {1, 2, 3} be defined by R = {(1, 1)}, then R is
1
Reflexive and symmetric
2
Reflexive and transitive
3
symmetric and transitive
4
Only symmetric
11
PYQ 2023
medium
mathematics ID: kcet-202
Let the relation R be defined in N by aRb if 3a + 2b = 27 then R is
1
{(1, 12), (3, 9), (5,6), (7, 3), (9, 0)}
2
{(1, 12), (3, 9), (5, 6), (7, 3)}
3
{(2, 1), (9, 3), (6, 5), (3, 7)}
4
12
PYQ 2026
medium
mathematics ID: kcet-202
for . is a function whose graph is the reflection of the graph of in the line , then is
1
2
3
4
13
PYQ 2026
medium
mathematics ID: kcet-202
Let R be the relation in the set N given by . Which of the following is the correct answer?
1
2
3
4