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Mathematics · JEE

Real-valued functions, algebra of functions Previous Year Questions for JEE

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Goodmarks offers 7+ JEE-style PYQs for Real-valued functions, algebra of 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 Real-valued functions, algebra of functions is tested in JEE. Practise 7+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

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Q1MathsUnit 7: Limit, Continuity and Differentiability
5.63×115.63 \times 11 is equal to
Q2MathsUnit 7: Limit, Continuity and Differentiability
Jitubhai buys a T-shirt at Rs 500 and sold it to his friend at Rs 500.500 . profit =?=?
Q3MathsUnit 7: Limit, Continuity and Differentiability
If f:R+→R+,f(x)=x2+2f: R^{+} \rightarrow R^{+}, f(x)=x^{2}+2 and g:g: R+→R+,g(x)=x+1\boldsymbol{R}^{+} \rightarrow \boldsymbol{R}^{+}, \boldsymbol{g}(\boldsymbol{x})=\sqrt{\boldsymbol{x}+\mathbf{1}} then (f+g)(x)(\boldsymbol{f}+\boldsymbol{g})(\boldsymbol{x}) equals
Q4MathsUnit 7: Limit, Continuity and Differentiability
Fill in the bank with ⟨,>,=sign⁡\langle,>,=\operatorname{sign}
Q5MathsUnit 7: Limit, Continuity and Differentiability
On subtracting -5 from 0,0, we get
Q6MathsUnit 7: Limit, Continuity and Differentiability
The value of 900+0.09−\sqrt{\mathbf{9 0 0}}+\sqrt{\mathbf{0 . 0 9}}- 0.000009\sqrt{0.000009} is
Q7MathsUnit 7: Limit, Continuity and Differentiability
Simplify (2a+b)(c−2d)+(a−(2 a+b)(c-2 d)+(a- b)(2c+3d)+4(ac+bd)\boldsymbol{b})(\boldsymbol{2} \boldsymbol{c}+\boldsymbol{3} \boldsymbol{d})+\boldsymbol{4}(\boldsymbol{a} \boldsymbol{c}+\boldsymbol{b} \boldsymbol{d})

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Frequently asked questions

Why practise PYQs for Real-valued functions, algebra of 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 Real-valued functions, algebra of functions, covering the same topics as previous year papers.

How should I use PYQs for Limit, Continuity and Differentiability?

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.

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