At a certain time, in a deer park, the number of heads ans the number of legs of deer an human visitors were counted and it was found that there were $41$ heads and $136$ legs, Find the number of deer and human visitors in the park.

Ten, percent of the black balls were added to twenty percent of the white balls and the balls were $24$. Three times the number of black balls exceeds the number of white balls by $20$. Find the number of black balls and also, the number of white balls.

A two digit number is obtained by either multiplying the sum of the digit by $8$ and subtracting $5$ or by multiplying the difference of the digits by $16$ and then adding $3$. Find the number.

A shopkeeper sales article A at $8\%$ profit and article $10\%$ loss, thereby getting a sum of $₹1008$. If he sells the article $A$ at $10\%$ profit and article $B$ at $8\%$ loss, he would have $₹1028$. Find the cost price at article $A$ and $B$ to the shopkeeper.

Simplify: $\left(x^{\frac{1}{3}}-x^{-\frac{1}{3}}\right)\left(x^{\frac{2}{3}}+1+x^{-\frac{2}{3}}\right)$

Solve: $5^x=25\times 5^y \& 8\times 2^y=4^x$

Solve: $8^{x+1}={16}^{y+2} \& {\left(\frac{1}{2}\right)}^{3+x}={\left(\frac{1}{4}\right)}^{3y}$

If $a\ne b\ne c$, find the value of ${\left(\frac{x^a}{x^b}\right)}^{a^2+ab+b^2}\times {\left(\frac{x^b}{x^c}\right)}^{b^2+bc+c^2}\times {\left(\frac{x^c}{x^a}\right)}^{c^2+ab+a^2}$

If $2^{98}-2^{97}-2^{96}+2^{95}=m\times 2^{95}$, find the value of $m$.