Mathematics · JEE

Important Questions: Binomial Theorem and Its Simple Applications for JEE

13+ syllabus-aligned questions available

Quick answer

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 13+ 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.

Subtopics in Binomial Theorem and Its Simple Applications

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

Free sample questions

Attempt 8 free MCQs for Binomial Theorem and Its Simple Applications. Unlock 5+ more with Pro.

Unlock full bank

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

Evaluate the following

(0.98)^{2}

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

Using identities, evaluate

998^{2}

Q6MathsUnit 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}

Q7MathsUnit 5: Binomial Theorem and Its Simple Applications

Using the formula for squaring a binomial the value of

(999)^{2}

is:

Q8MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate using expansion of

(a+b)^{2}

(a-b)^{2}:

(9.4)^{2}

Want unlimited Binomial Theorem and Its Simple Applications practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

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.

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.