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Online Practice: Binomial Theorem and Its Simple Applications for JEE

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Sharpen your mathematics preparation with interactive online practice for Binomial Theorem and Its Simple Applications. Goodmarks offers 21+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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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
If the middle term in the expansion of (x2+1x)n\left(x^{2}+\frac{1}{x}\right)^{n} is 924x6,924 x^{6}, then n=n=
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate the following (0.98)2(0.98)^{2}
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
The coeffcient of x10x^{10} in the expansion of (1+x)2(1+x2)3(1+x3)4(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 (71/3+51/2⋅x)600\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600} is
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
∀n∈N,33n−26n\forall n \in N, 3^{3 n}-26^{n} is divisible by

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Goodmarks currently has 21+ JEE-aligned MCQs for Binomial Theorem and Its Simple Applications, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Binomial theorem for a positive integral index, General term and middle term and simple applications.

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