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Sets, Relations and Functions Revision for JEE

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Revise Sets, Relations and Functions by covering every subtopic once, drilling formulas, then solving 90+ timed MCQs with full solutions.

Use this Sets, Relations and Functions revision checklist before mocks and the final exam. Reinforce concepts with 90+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Union, intersection, complement, power set
  2. 2.Equivalence relations
  3. 3.One-one, onto, bijective functions
  4. 4.Revise Sets and their representation with 10 MCQs
  5. 5.Revise Union, intersection and complement of sets and their algebraic properties with 10 MCQs
  6. 6.Revise Power set with 10 MCQs
  7. 7.Revise Relations, type of relations, equivalence relations with 10 MCQs
  8. 8.Revise Functions with 10 MCQs
  9. 9.Revise One-one, into and onto functions with 10 MCQs

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Subtopics in Sets, Relations and Functions

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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
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:
Q3MathsUnit 1: Sets, Relations and Functions
Which of the following is NOT equivalent to p→q?\boldsymbol{p} \rightarrow \boldsymbol{q} ?
Q4MathsUnit 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?
Q5MathsUnit 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?
Q6MathsUnit 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}
Q7MathsUnit 1: Sets, Relations and Functions
Find the quantifier which best describes the variable of the open sentence x2+2≥0x^{2}+2 \geq 0
Q8MathsUnit 1: Sets, Relations and Functions
9/169 / 16 of a number is 51 greater than 50%50 \% of the number. Then, that number is

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Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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