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Binomial theorem for a positive integral index Mock Test for JEE

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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+51/2⋅x)600\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600} is
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
∀n∈N,33n−26n\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 (1−3x+3x2−x3)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:
Q9MathsUnit 5: Binomial Theorem and Its Simple Applications
For every positive integer n,n77+n55+n, \frac{n^{7}}{7}+\frac{n^{5}}{5}+ 2n33−n105\frac{2 n^{3}}{3}-\frac{n}{105} is
Q10MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate using expansion of (a+b)2(a+b)^{2} or (a−b)2:(a-b)^{2}: (9.4)2(9.4)^{2}
Q11MathsUnit 5: Binomial Theorem and Its Simple Applications
Assertion (2−1)n(\sqrt{2}-1)^{n} can be expressed as N\sqrt{N} N−1\sqrt{N-1} for ∀N>1\forall N>1 and n∈Nn \in N Reason (2−1)n(\sqrt{2}-1)^{n} can be written in the form α+β2∀,α,β\boldsymbol{\alpha}+\boldsymbol{\beta} \sqrt{\boldsymbol{2}} \forall, \boldsymbol{\alpha}, \boldsymbol{\beta} are integers \& n is a positive integer.
Q12MathsUnit 5: Binomial Theorem and Its Simple Applications
If a≠0a \neq 0 and a−1a=4,a-\frac{1}{a}=4, find: a3−1a3a^{3}-\frac{1}{a^{3}}
Q13MathsUnit 5: Binomial Theorem and Its Simple Applications
The approximate value of (1.0002)3000(1.0002)^{3000} is
Q14MathsUnit 5: Binomial Theorem and Its Simple Applications
The value of (3.1)3(3.1)^{3} is

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