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Online Practice: Sets, Relations and Functions for JEE

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Sharpen your mathematics preparation with interactive online practice for Sets, Relations and Functions. Goodmarks offers 120+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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Q1MathsUnit 1: Sets, Relations and Functions
If f:[0,∞)→[0,∞),\mathbf{f}:[\mathbf{0}, \infty) \rightarrow[\mathbf{0}, \infty), and f(x)=x1+x\mathbf{f}(\mathbf{x})=\frac{\mathbf{x}}{\mathbf{1}+\mathbf{x}} then f\boldsymbol{f} is
Q2MathsUnit 1: Sets, Relations and Functions
Let f:R→R\boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} where f(x)=2∣x∣−2−x\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{2}^{|\boldsymbol{x}|}-\boldsymbol{2}^{-\boldsymbol{x}} then f(x)f(x) is
Q3MathsUnit 1: Sets, Relations and Functions
If X={4n−3n−1:n∈N}\boldsymbol{X}=\left\{4^{n}-3 n-1: n \in N\right\} and Y={9(n−1):n∈N},\boldsymbol{Y}=\{\mathbf{9}(\boldsymbol{n}-\mathbf{1}): \boldsymbol{n} \in \boldsymbol{N}\}, where N\mathrm{N} is the set of natural numbers, then X∪Y\boldsymbol{X} \cup \boldsymbol{Y} is equal to:
Q4MathsUnit 1: Sets, Relations and Functions
Which of the following is NOT equivalent to p→q?\boldsymbol{p} \rightarrow \boldsymbol{q} ?
Q5MathsUnit 1: Sets, Relations and Functions
The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozens of such mangoes?
Q6MathsUnit 1: Sets, Relations and Functions
Indian cricket team won 4 more matches than it lost with New Zealand. If it won 35\frac{3}{5} of its matches, how many matches did India play?
Q7MathsUnit 1: Sets, Relations and Functions
Assertion The relation R\boldsymbol{R} given by R={(1,3),(4,2),(2,4),(2,3),(3,1)}\boldsymbol{R}=\{(\mathbf{1}, \mathbf{3}),(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\} on a set A={1,2,3,4}A=\{1,2,3,4\} is not symmetric. Reason For symmetric relation R=R−1\boldsymbol{R}=\boldsymbol{R}^{-1}
Q8MathsUnit 1: Sets, Relations and Functions
Find the quantifier which best describes the variable of the open sentence x2+2≥0x^{2}+2 \geq 0

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Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more.

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