Mathematics · JEE

Functions Previous Year Questions for JEE

20+ syllabus-aligned questions available

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Goodmarks offers 20+ JEE-style PYQs for Functions with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Functions is tested in JEE. Practise 20+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

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Q1MathsUnit 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?
Q2MathsUnit 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?
Q3MathsUnit 1: Sets, Relations and Functions
9/169 / 16 of a number is 51 greater than 50%50 \% of the number. Then, that number is
Q4MathsUnit 1: Sets, Relations and Functions
Let ff be a function such that f(3)=1f(3)=1 and f(3x)=x+f(3x3)f(3 x)=x+f(3 x-3) for all xx Then find the value of f(300)\boldsymbol{f}(\boldsymbol{3 0 0})
Q5MathsUnit 1: Sets, Relations and Functions
35 workers can build a house in 16 days. How many days will 28 workers working at the same rate take to build the same house?
Q6MathsUnit 1: Sets, Relations and Functions
0.86×0.86×0.86+0.14×0.14×0.10.86×0.860.860.14+0.14×0.1\frac{0.86 \times 0.86 \times 0.86+0.14 \times 0.14 \times 0.1}{0.86 \times 0.86-0.86-0.14+0.14 \times 0.1} is equal to
Q7MathsUnit 1: Sets, Relations and Functions
270003=\sqrt[3]{27000}=
Q8MathsUnit 1: Sets, Relations and Functions
If k>0k>0 A:(1)(2)(k)\mathbf{A}:(-\mathbf{1})(-\mathbf{2})(-\boldsymbol{k}) B:(1)(2)(k)\mathrm{B}:(1)(2)(k) Then

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Frequently asked questions

Why practise PYQs for Functions?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Functions, covering the same topics as previous year papers.

How should I use PYQs for Sets, Relations and Functions?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.