Sets and Relations PYQs - Last 10 Years
JEE Main / Mathematics / Algebra / 111 recent questions
MathematicsAlgebra2017-2026
Practice 111 JEE Main Mathematics questions from Sets and Relations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
111
PYQs on Page
Mathematics / Algebra
2018-2026
Year Range
Based on indexed question metadata
83
Last 5 Years
2022-2026
111
Last 10 Years
2017-2026
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Question Types
111PYQs
MCQ68.5%
INTEGER31.5%
Difficulty Mix
#1 Medium82
#2 Easy18
#3 Hard11
83 in last 5 years111 in last 10 years
Last 10 Years Sets and Relations Questions
Showing 11 of 111 filtered questions.
1Sets And Relations
Consider the two sets :
A = {m \(\in\) R : both the roots of x2
– (m + 1)x + m + 4 = 0 are real}
and B = [–3, 5).
Which of the following is not true?
A = {m \(\in\) R : both the roots of x2
– (m + 1)x + m + 4 = 0 are real}
and B = [–3, 5).
Which of the following is not true?
MCQ+4 / -12020
2Sets And Relations
Let R1
and R2
be two relation defined as
follows :
R1
= {(a, b) \(\in\) R2
: a2
+ b2 \(\in\) Q} and
R2
= {(a, b) \(\in\) R2
: a2
+ b2 \(\notin\) Q},
where Q is the
set of all rational numbers. Then :
and R2
be two relation defined as
follows :
R1
= {(a, b) \(\in\) R2
: a2
+ b2 \(\in\) Q} and
R2
= {(a, b) \(\in\) R2
: a2
+ b2 \(\notin\) Q},
where Q is the
set of all rational numbers. Then :
MCQ+4 / -12020
3Sets And Relations
If R = {(x, y) : x, y
\(\in\) Z, x2 + 3y2
\(\le\) 8} is a relation
on the set of integers Z, then the domain of R–1 is :
\(\in\) Z, x2 + 3y2
\(\le\) 8} is a relation
on the set of integers Z, then the domain of R–1 is :
MCQ+4 / -12020
4Sets And Relations
Two newspapers A and B are published in a city.
It is known that 25% of the city populations reads
A and 20% reads B while 8% reads both A and
B. Further, 30% of those who read A but not B
look into advertisements and 40% of those who
read ...
It is known that 25% of the city populations reads
A and 20% reads B while 8% reads both A and
B. Further, 30% of those who read A but not B
look into advertisements and 40% of those who
read ...
MCQ+4 / -12019
5Sets And Relations
Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :
MCQ+4 / -12019
6Sets And Relations
Let Z be the set of integers.
If A = {x \(\in\) Z : 2(x + 2) (x2 \(-\) 5x + 6) = 1} and
B = {x \(\in\) Z : \(-\) 3 < 2x \(-\) 1 < 9},
then the number of subsets of the set A \(\times\) B, is
If A = {x \(\in\) Z : 2(x + 2) (x2 \(-\) 5x + 6) = 1} and
B = {x \(\in\) Z : \(-\) 3 < 2x \(-\) 1 < 9},
then the number of subsets of the set A \(\times\) B, is
MCQ+4 / -12019
7Sets And Relations
Let A, B and C be sets such that \(\phi\) \(\ne\) A \(\cap\) B \(\subseteq\) C. Then which of the following statements is not true ?
MCQ+4 / -12019
8Sets And Relations
In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of...
MCQ+4 / -12019
9Sets And Relations
Let N denote the set of all natural numbers. Define two binary relations on N as R = {(x, y) \(\in\) N \(\times\) N : 2x + y = 10} and R2 = {(x, y) \(\in\) N \(\times\) N : x + 2y = 10}. Then :
MCQ+4 / -12018
10Sets And Relations
Consider the following two binary relations on the set A = {a, b, c} :
R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a, a)} and
R2 = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c)}.
Then :
R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a, a)} and
R2 = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c)}.
Then :
MCQ+4 / -12018
11Sets And Relations
Two sets A and B are as under :
A = {(\(a\), b) \(\in\) R \(\times\) R : |\(a\) - 5| < 1 and |b - 5| < 1};
B = {(\(a\), b) \(\in\) R \(\times\) R : 4(\(a\) - 6)2 + 9(b - 5)2 \(\le\) 36 };
Then
A = {(\(a\), b) \(\in\) R \(\times\) R : |\(a\) - 5| < 1 and |b - 5| < 1};
B = {(\(a\), b) \(\in\) R \(\times\) R : 4(\(a\) - 6)2 + 9(b - 5)2 \(\le\) 36 };
Then
MCQ+4 / -12018