Mathematics · JEE

Important Questions: Binomial Theorem and Its Simple Applications for JEE

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The most important Binomial Theorem and Its Simple Applications questions for JEE cover conceptual traps, standard results, and numerical patterns from Binomial theorem for a positive integral index, General term and middle term and simple applications. Goodmarks provides 21+ high-yield MCQs with full solutions.

Focus on what matters most. These important Binomial Theorem and Its Simple Applications questions cover high-weightage concepts from Binomial theorem for a positive integral index, General term and middle term and simple applications — the topics JEE repeats every year.

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Subtopics in Binomial Theorem and Its Simple Applications

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Q1MathsUnit 5: Binomial Theorem and Its Simple Applications

The coefficient of

x^{9}

in the expansion of

\left(x^{3}+\frac{1}{2^{t}}\right)^{11},

where

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}

Q3MathsUnit 5: Binomial Theorem and Its Simple Applications

If it is known that the third term of the binomial expansion

\left(x+x^{\log _{10} x}\right)^{3}

10^{6}

then

x

is equal to

Q4MathsUnit 5: Binomial Theorem and Its Simple Applications

If the middle term in the expansion of

\left(x^{2}+\frac{1}{x}\right)^{n}

924 x^{6},

then

n=

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate the following

(0.98)^{2}

Q6MathsUnit 5: Binomial Theorem and Its Simple Applications

The coeffcient of

x^{10}

in the expansion of

(1+x)^{2}\left(1+x^{2}\right)^{3}\left(1+x^{3}\right)^{4}

is equal to

Q7MathsUnit 5: Binomial Theorem and Its Simple Applications

The number of terms with integral coefficients in the expansion of

\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600}

Q8MathsUnit 5: Binomial Theorem and Its Simple Applications

\forall n \in N, 3^{3 n}-26^{n}

is divisible by

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Frequently asked questions

What makes a Binomial Theorem and Its Simple Applications 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 Binomial Theorem and Its Simple Applications are high-weightage?

Key areas include Binomial theorem for a positive integral index, General term and middle term and simple applications. 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.

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