JEE MAINS PRACTICE · Mathematics
Binomial Theorem
373 practice questions for JEE Mains Practice — 129 easy · 136 medium · 108 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The number of terms in the expansion of $(\sqrt{5}+\sqrt[4]{11})^{124}$ which are integers, is equal to
MCQ
The first three terms in the expansion of $(1+a x)^n(n \neq 0)$ are 1, $6 x$ and $16 x^2$. Then, the values of $a$ and $n$ are respectively
MCQ
The constant term in the expansion of $(1+x)^m\left(1+\frac{1}{x}\right)^n$ is
MCQ
Middle term in the expansion of $\left(x^2+\frac{1}{x^2}+2\right)^n$ is
MCQ
The least positive remainder when $123 \times 125 \times 127$ is divided by 124 is
MCQ
If the coefficients of the $r$ th term and the $(r+1)$ th term in the expansion of $(1+x)^{20}$ are in the ratio $1: 2$, then $r$ is equal to
MCQ
The remainder obtained when $5^{124}$ is divided by 124 is
MCQ
The coefficient of $x^4$ in $\left(1+x+x^3+x^4\right)^{10}$ is
MCQ
The statement $P(n)=9^n-8^n$, when divided 8 , always leaves the remainder
MCQ
The least remainder when $17^{30}$ is divided by 5 , is
MCQ
The coefficient of $x^4$ in the expansion of $\left(1+x+x^2+x^3\right)^n$ is
MCQ
The middle term in the expansion of $\left(x^2+\frac{1}{x^2}+2\right)^n$ is