Simplification

Find the value of the question mark $\left(?\right)$.

If $17-m = 12-n$ then $m-n =?$

If $5\sqrt{5}\times 5^3÷5^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}=5^{a+2}$, then the value of $a$ is:

The simplified value of  $\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right).....\left(1-\frac{1}{99}\right)\left(1-\frac{1}{100}\right)$ ______.

What should come in the place of (?) for the expression given below?

$0.5\times 5+0.25\times 0.5+0.5\times 4+0.5\times 0.75=?$

Simplify the given equation:

$8597-?=7429-4558$

What is the value of '$x$' in the following questions?

$24\% of 250 - x = 18\% of 50$

If $(1^2+2^2+3^2+...+{10}^2)=385$, then find the value of $(2^2+4^2+6^2+...+{20}^2)$.

What value will come in place of question mark$(?)$  in the questions given below $?$

$666.66 + 66.66 + 6.6 = ?$

In what proportion must tea at  ₹. $72$/kg be mixed with tea at  ₹. $90$/kg in order to obtain the mixture worth  ₹ $85$ /kg ?

In the formula, $\mathrm{H}=\frac{2ab}{a+b}$ if $a = 5$ and $\mathrm{H} = 8$, then the value of  is:

Find the value of-

$\sqrt{400}+\sqrt{0.64}+\sqrt{0.000004}$

Find the value of $\frac { (3+3+3+3)\div 3 }{ 5+5+5+5\div 5 }$

A tap drips at a rate of one drop/sec. $600$ drops make $100 \mathrm{ml}$. The number of litres wasted in $300$ days is -

What value will come in place of question mark $(?)$ in the questions given below $?$

$2575.2 ÷ (24 \times 14.5) = ?$

If $x=\sqrt[3]{5}+2$, then the value of $x^3-6x^2+12x-13$ is-

Simplify the given expression:

$3251+587+369-?=3007$

Find the value of $3\sqrt{147}-\frac{7}{3}\sqrt{\frac{1}{3}}-\sqrt{\frac{1}{27}}$.

When simplified, the product $\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{n}\right)$ gives _____.

$p, q$, and $r$ are prime numbers such that $p<q<r<13$. In how many cases would $(p+q+r)$ also be a prime number?

What should come in the place of ($?$) for the expression given below?

$1÷\left[1+1÷\left\{1+1÷\left(1+1÷2\right)\right\}\right]=?$