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
About Relations And Functions - KCET
Relations And Functions is a vital chapter for KCET aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Relations And Functions PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Relations And Functions carry the most weight. Then, tackle the questions iteratively to solidify your understanding.