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Mathematics · JEE

Functions Concepts for JEE

29+ syllabus-aligned questions available

Quick answer

Master Functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Functions is a core JEE Main Mathematics subtopic under Sets, Relations and Functions. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Functions in the JEE syllabus
  • Memorise key formulas and standard results linked to Functions
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Functions with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Functions and reattempt after 48 hours

Common trap

Students often rush Functions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Sets, Relations and Functions in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Functions. Unlock 21+ more with Pro.

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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
Find the quantifier which best describes the variable of the open sentence x2+2≥0x^{2}+2 \geq 0
Q4MathsUnit 1: Sets, Relations and Functions
9/169 / 16 of a number is 51 greater than 50%50 \% of the number. Then, that number is
Q5MathsUnit 1: Sets, Relations and Functions
Let ff be a function such that f(3)=1f(3)=1 and f(3x)=x+f(3x−3)f(3 x)=x+f(3 x-3) for all xx Then find the value of f(300)\boldsymbol{f}(\boldsymbol{3 0 0})
Q6MathsUnit 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?
Q7MathsUnit 1: Sets, Relations and Functions
0.86×0.86×0.86+0.14×0.14×0.10.86×0.86−0.86−0.14+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
Q8MathsUnit 1: Sets, Relations and Functions
270003=\sqrt[3]{27000}=

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What concepts in Functions are essential for JEE?

Focus on core ideas across Functions. JEE tests application, not just memorisation.

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