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Mathematics · JEE

Important Questions: Real-valued functions, algebra of functions for JEE

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The most important Real-valued functions, algebra of functions questions for JEE cover conceptual traps, standard results, and numerical patterns from Real-valued functions, algebra of functions. Goodmarks provides 7+ high-yield MCQs with full solutions.

Focus on what matters most. These important Real-valued functions, algebra of functions questions cover high-weightage concepts from Real-valued functions, algebra of functions — the topics JEE repeats every year.

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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

What makes a Real-valued functions, algebra of functions question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Limit, Continuity and Differentiability are high-weightage?

Key areas include Real-valued functions, algebra of functions. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.

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