Mathematics · JEE

Sets, Relations and Functions Short Tricks for JEE

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Quick answer

Short tricks for Sets, Relations and Functions work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Sets, Relations and Functions shortcuts to save time in JEE Mathematics papers — then validate speed with 90+ MCQs on Goodmarks.

Short tricks for speed

  • Sets, Relations and Functions focus drill

    Solve 15 mixed MCQs for Sets, Relations and Functions, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

6+ important formulas for Sets, Relations and Functions

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Free sample questions

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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={4n3n1:nN}\boldsymbol{X}=\left\{4^{n}-3 n-1: n \in N\right\} and Y={9(n1):nN},\boldsymbol{Y}=\{\mathbf{9}(\boldsymbol{n}-\mathbf{1}): \boldsymbol{n} \in \boldsymbol{N}\}, where N\mathrm{N} is the set of natural numbers, then XY\boldsymbol{X} \cup \boldsymbol{Y} is equal to:
Q3MathsUnit 1: Sets, Relations and Functions
Which of the following is NOT equivalent to pq?\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=R1\boldsymbol{R}=\boldsymbol{R}^{-1}
Q7MathsUnit 1: Sets, Relations and Functions
Find the quantifier which best describes the variable of the open sentence x2+20x^{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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Frequently asked questions

Are short tricks enough for Sets, Relations and Functions in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.