Sets and Relations PYQs - Last 5 Years
WB JEE / Mathematics / Algebra / 14 recent questions
MathematicsAlgebra2022-2026
Practice 14 WB JEE 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.
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Mathematics / Algebra
2022-2026
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2022-2026
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2017-2026
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Last 5 Years Sets and Relations Questions
Showing 14 of 14 filtered questions.
1Sets And Relations
Let $A_1, A_2, \ldots, A_6$ are six sets, each with four elements and $B_1, B_2, \ldots ., B_n$ are $n$ sets, each with two elements. Let $S=A_1 \cup A_2 \cup \ldots \cup A_6=B_1 \cup B_2 \cup \ldots \cup B_n$.
Given that each element of $S...
Given that each element of $S...
MCQ+2 / -0.52026
2Sets And Relations
On the set $\mathbb{R}$ of real numbers the relation $\rho$, defined by $\mathrm{x} \rho \mathrm{y}(\mathrm{x}, \mathrm{y} \in \mathbb{R})$ iff
MCQ+1 / -0.252026
3Sets And Relations
The number of reflexive relations on a set $A$ of $n$ elements is equal to
MCQ+1 / -0.252025
4Sets And Relations
For the real numbers \(x\) & \(y\), we write \(x\) p y iff \(x-y+\sqrt{2}\) is an irrational number. Then relation p is
MCQ+2 / -0.52024
5Sets And Relations
Let A be the set of even natural numbers that are < 8 & B be the set of prime integers that are \(<7\) The number of relations from A to B are
MCQ+1 / -0.252024
6Sets And Relations
In R, a relation p is defined as follows:
\(\forall a, b \in \mathbb{R}, a p\) holds iff \(a^2-4 a b+3 b^2=0\). Then
\(\forall a, b \in \mathbb{R}, a p\) holds iff \(a^2-4 a b+3 b^2=0\). Then
MCQ+1 / -0.252024
7Sets And Relations
If R and R\(^1\) are equivalence relations on a set A, then so are the relations
MCQM+2 / -02023
8Sets And Relations
Let \(\rho\) be a relation defined on set of natural numbers N, as \(\rho = \{ (x,y) \in N \times N:2x + y = 4\}\). Then domain A and range B are
MCQ+2 / -0.52023
9Sets And Relations
Let X be a nonvoid set. If \(\rho_1\) and \(\rho_2\) be the transitive relations on X, then
(\(\circ\) denotes the composition of relations)
(\(\circ\) denotes the composition of relations)
MCQ+1 / -0.252023
10Sets And Relations
Let A, B, C are subsets of set X. Then consider the validity of the following set theoretic statement:
MCQ+1 / -0.252023
11Sets And Relations
Let R and S be two equivalence relations on a non-void set A. Then
MCQM+2 / -02022
12Sets And Relations
For the mapping \(f:R - \{ 1\} \to R - \{ 2\}\), given by \(f(x) = {{2x} \over {x - 1}}\), which of the following is correct?
MCQ+1 / -0.252022
13Sets And Relations
Let S, T, U be three non-void sets and f : S \(\to\) T, g : T \(\to\) U and composed mapping g . f : S \(\to\) U be defined. Let g . f be injective mapping. Then
MCQ+1 / -0.252022
14Sets And Relations
A is a set containing n elements. P and Q are two subsets of A. Then the number of ways of choosing P and Q so that P \(\cap\) Q = \(\varphi\) is
MCQ+1 / -0.252022