Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Test Paper - 3, Exercise 1: TEST PAPER 3

Simplify ${\left(2^{-1}÷5^{-1}\right)}^2\times {\left(-\frac{5}{8}\right)}^{-1}$.

Subtract $\left(2{\mathrm{x}}^2-5\mathrm{x}+7\right)$ from $\left(3{\mathrm{x}}^2+4\mathrm{x}-6\right)$.

In the adjoining figure, it is given that $\mathrm{AB}\parallel \mathrm{CD}$. If $\angle \mathrm{BAO}=108°$ and $\angle \mathrm{OCD}=120°$, find $\angle \mathrm{AOC}$.

The simple interest on a certain sum for $3$ years at $8\%$ per annum is $₹96$ more than the simple interst on the same sum for $2$ years at $9\%$ per annum. Find the sum.

A watch when sold at a profit of $6\%$ yields $₹870$ more than when it is sold at a loss of $6\%$. Find the cost price of the watch.

Find $\mathrm{x}$, such that ${\left(\frac{3}{5}\right)}^3\times {\left(\frac{3}{5}\right)}^{-6}={\left(\frac{3}{5}\right)}^{2\mathrm{x}-1}$

Multiply $\left(\frac{1}{5}\mathrm{x}-\frac{1}{4}\mathrm{y}\right)$ and $\left(5{\mathrm{x}}^2-4{\mathrm{y}}^2\right)$.

Simplify: $\frac{16\times 2^{\mathrm{n}+1}-4\times 2^{\mathrm{n}}}{16\times 2^{\mathrm{n}+2}-2\times 2^{\mathrm{n}+2}}$