Mathematics · JEE

Hard Binomial theorem for a positive integral index MCQs for JEE

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Hard Binomial theorem for a positive integral index MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (14+ on Goodmarks).

Push your limits with hard Binomial theorem for a positive integral index MCQs designed for JEE Advanced-level thinking. 14+ questions with detailed solutions.

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(a+b+c)^{8} is
Q2MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate the following (0.98)2(0.98)^{2}
Q3MathsUnit 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
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of terms with integral coefficients in the expansion of (71/3+51/2x)600\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600} is
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
nN,33n26n\forall n \in N, 3^{3 n}-26^{n} is divisible by
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
Using identities, evaluate 9982998^{2}
Q7MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of dissimilar terms in the expansion of (13x+3x2x3)20\left(1-3 x+3 x^{2}-x^{3}\right)^{20} is
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
Using the formula for squaring a binomial the value of (999)2(999)^{2} is:

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After 70%+ accuracy on medium MCQs and once core formulas are automatic.