Mathematics · JEE

Important Questions: Binomial theorem for a positive integral index for JEE

14+ syllabus-aligned questions available

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The most important Binomial theorem for a positive integral index questions for JEE cover conceptual traps, standard results, and numerical patterns from Binomial theorem for a positive integral index. Goodmarks provides 14+ high-yield MCQs with full solutions.

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Syllabus context

Part of Binomial Theorem and Its Simple Applications in JEE Main Mathematics.

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Q1MathsUnit 5: Binomial Theorem and Its Simple Applications

Sum of coefficients in the expeansion of

(a+b+c)^{8}

Q2MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate the following

(0.98)^{2}

Q3MathsUnit 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

Q4MathsUnit 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}

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

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

is divisible by

Q6MathsUnit 5: Binomial Theorem and Its Simple Applications

Using identities, evaluate

998^{2}

Q7MathsUnit 5: Binomial Theorem and Its Simple Applications

The number of dissimilar terms in the expansion of

\left(1-3 x+3 x^{2}-x^{3}\right)^{20}

Q8MathsUnit 5: Binomial Theorem and Its Simple Applications

Using the formula for squaring a binomial the value of

(999)^{2}

is:

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What makes a Binomial theorem for a positive integral index 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. 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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