CBSE · Mathematics
Binomial Theorem
233 practice questions for CBSE — 142 easy · 87 medium · 4 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
$\frac{1}{4}-\frac{5}{4 \cdot 8}+\frac{5 \cdot 7}{4 \cdot 8 \cdot 12}-\ldots=$
MCQ
If $C_r={ }^n C_r$, then $C_0+C_4+C_8+C_{12}+\ldots=$
MCQ
The correct matching of List I from List-II is :
MCQ
The binomial coefficients which are in decreasing order are
MCQ
If $x$ is positive real number and the first negative term in the expansion of $(1+\mathrm{x})^{27 / 5}$ is $\mathrm{t}_{\mathrm{k}}$ then $\mathrm{k}=$
MCQ
$\sum_{r=1}^{15} r^2\left(\frac{{ }^{15} C_r}{{ }^{15} C_{r-1}}\right)=$
MCQ
Assuming $x$ to be so small that $x^2$ and higher powers of $x$ can be neglected, the coefficient of $x$ in $\frac{(1-x)^{1 / 3}+(1-5 x)^2}{(16-x)^{1 / 4}}$ is equal to
MCQ
The greatest integer $\mathrm{r}$ such that $30^{\mathrm{r}}$ divides 30 ! is
MCQ
What is the remainder of \(2 x^3-5 x^2+7\) when divided with \((x-2)\) ?
MCQ
$(102)^4=$ ?
MCQ
If $k \in N$, then $3^{3 k}-26^k-1$ is divisible by
MCQ
For all positive integers ' $n$ ' if $3\left(5^{2 \mathrm{n}+1}\right)+2^{3 \mathrm{n}+1}$ is divisible by $k$, then the number of prime numbers less than or equal to $k$ is