K C Sisodia Solutions for Chapter: Assignments, Exercise 5: ASSIGNMENTS

If $x-\frac{2}{x}=4$, find the value of $x^3-\frac{8}{x^3}$.

If the difference between the compound interest and simple interest on $₹5,000$ for $3$ years at $12\%$ p.a. is $₹k$ (upto two decimal places), find the value of $k$.

A shopkeeper buys pencils at $₹60$ per hundred and sells them at $75$ paise each. Find the loss or profit percent.

Make $\mathrm{r}$ the subject in the formula given below.

$\mathrm{P}=\sqrt{\frac{\mathrm{lr}-\mathrm{ls}}{\mathrm{r}+\mathrm{s}}}$

If $\log 2=0.3010$ and $\log 3=0.4771$, then find the value of $\sqrt[5]{108}$.

The difference between the sides of a right-angled triangle containing the right angle is $7 \mathrm{cm}$ and its area is $60 {\mathrm{cm}}^2$. If the perimeter of the triangle is $k \mathrm{cm}$, then find $k$.

Prove that the line joining the mid points of any two sides of a triangle is half and parallel to the third side.

Given that $\frac{3x+4y}{5x-2y}=\frac{12}{7}$, find the value of $y$ when $x=\frac{1}{2}\times \text{number of vertices of a cube}$.