Sets and Relations PYQs - Last 5 Years
KCET / Mathematics / Algebra / 14 recent questions
MathematicsAlgebra2022-2026
Practice 14 KCET 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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Last 5 Years Sets and Relations Questions
Showing 14 of 14 filtered questions.
1Sets And Relations
If $A = \{a, b, c, d, e, f\}$, then the number of subsets of A which contains at least $2$ elements is
MCQ+1 / -02026
2Sets And Relations
If $A = \{1, 2, 3, 4, \ldots, 10\}$, then the number of non-empty subsets of A containing only even number is
MCQ+1 / -02026
3Sets And Relations
If $n(A) = 2$ and the number of relations from set A to set B is $1024$, then $n(B)$ is
MCQ+1 / -02026
4Sets And Relations
Let R be the relation in the set $\mathbb{N}$ given by $R = \{(a, b) : a = b - 2, b > 6\}$. Which of the following is the correct answer?
MCQ+1 / -02026
5Sets And Relations
Consider the following statements :
Statement(I) : The set of all solutions of the linear inequalities $3 \mathrm{x}+8<17$ and $2 \mathrm{x}+8 \geq 12$ are $\mathrm{x}<3$ and $x \geq 2$ respectively.
Statement(II) : The common set of soluti...
Statement(I) : The set of all solutions of the linear inequalities $3 \mathrm{x}+8<17$ and $2 \mathrm{x}+8 \geq 12$ are $\mathrm{x}<3$ and $x \geq 2$ respectively.
Statement(II) : The common set of soluti...
MCQ+1 / -02025
6Sets And Relations
\(\text { Let } A=\{a, b, c\} \text {, then the number of equivalence relations on A containing }(b, c) \text { is }\)
MCQ+1 / -02025
7Sets And Relations
$A$ and $B$ are two sets having 3 and 6 elements respectively. Consider the following statements.
Statement (I): Minimum number of elements in AUB is 3
Statement (II): Maximum number of elements in AB is 3 Which of the following is correct?
Statement (I): Minimum number of elements in AUB is 3
Statement (II): Maximum number of elements in AB is 3 Which of the following is correct?
MCQ+1 / -02025
8Sets And Relations
If $\mathrm{A}=\left\{\mathrm{x}: \mathrm{x}\right.$ is an integer and $\left.\mathrm{x}^2-9=0\right\}$
$B=\{x: x$ is a natural number and $2 \leq x<5\}$
$\mathrm{C}=\{\mathrm{x}: \mathrm{x}$ is a prime number $\leq 4\}$
Then $(B-C) \cup A$...
$B=\{x: x$ is a natural number and $2 \leq x<5\}$
$\mathrm{C}=\{\mathrm{x}: \mathrm{x}$ is a prime number $\leq 4\}$
Then $(B-C) \cup A$...
MCQ+1 / -02025
9Sets And Relations
Let $A=\{2,3,4,5, \ldots, 16,17,18\}$. Let $R$ be the relation on the set $A$ of ordered pairs of positive integers defined by $(a, b) R(c, d)$ if and only if $a d=b c$ for all $(a, b),(c, d)$ in $A \times A$. Then, the number of ordered pa...
MCQ+1 / -02024
10Sets And Relations
Two finite sets have $m$ and $n$ elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of $m$ and $n$, respectively are
MCQ+1 / -02024
11Sets And Relations
Let the relation \(R\) be defined in \(N\) by \(a R b\), if \(3 a+2 b=27\), then \(R\) is
MCQ+1 / -02023
12Sets And Relations
Which of the following is an empty set?
MCQ+1 / -02023
13Sets And Relations
Let the relation \(R\) is defined in \(N\) by \(a R b\), if \(3 a+2 b=27\) then \(R\) is
MCQ+1 / -02022
14Sets And Relations
Suppose that the number of elements in set \(A\) is \(p\), the number of elements in set \(B\) is \(q\) and the number of elements in \(A \times B\) is 7, then \(p^2+q^2=\)
MCQ+1 / -02022