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Mathematics · JEE

Binomial Theorem and Its Simple Applications Previous Year Questions for JEE

13+ syllabus-aligned questions available

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Goodmarks offers 13+ JEE-style PYQs for Binomial Theorem and Its Simple Applications 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 Binomial Theorem and Its Simple Applications is tested in JEE. Practise 13+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Subtopics in Binomial Theorem and Its Simple Applications

  • Binomial theorem for a positive integral index
  • General term and middle term and simple applications

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Q1MathsUnit 5: Binomial Theorem and Its Simple Applications
The coefficient of x9x^{9} in the expansion of (x3+12t)11,\left(x^{3}+\frac{1}{2^{t}}\right)^{11}, where t=log⁡2(x32)t=\log _{\sqrt{2}}\left(x^{\frac{3}{2}}\right)
Q2MathsUnit 5: Binomial Theorem and Its Simple Applications
Sum of coefficients in the expeansion of (a+b+c)8(a+b+c)^{8} is
Q3MathsUnit 5: Binomial Theorem and Its Simple Applications
If it is known that the third term of the binomial expansion (x+xlog⁡10x)3\left(x+x^{\log _{10} x}\right)^{3} is 10610^{6} then xx is equal to
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate the following (0.98)2(0.98)^{2}
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
Using identities, evaluate 9982998^{2}
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of dissimilar terms in the expansion of (1−3x+3x2−x3)20\left(1-3 x+3 x^{2}-x^{3}\right)^{20} is
Q7MathsUnit 5: Binomial Theorem and Its Simple Applications
Using the formula for squaring a binomial the value of (999)2(999)^{2} is:
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate using expansion of (a+b)2(a+b)^{2} or (a−b)2:(a-b)^{2}: (9.4)2(9.4)^{2}

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Frequently asked questions

Why practise PYQs for Binomial Theorem and Its Simple Applications?

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 Binomial Theorem and Its Simple Applications, covering the same topics as previous year papers.

How should I use PYQs for Binomial Theorem and Its Simple Applications?

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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