Mathematics · JEE

Binomial Theorem and Its Simple Applications Mock Test for JEE

13+ syllabus-aligned questions available

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A Binomial Theorem and Its Simple Applications JEE mock test on Goodmarks lets you attempt 13+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Binomial Theorem and Its Simple Applications mock test. Attempt 13+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

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

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}

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