SSC MTS MATHS QUIZ

The value of $\sqrt{8+2 \sqrt{8+2 \sqrt{8}}} \ldots \ldots \infty$:

IF $a=\frac{\sqrt{3}+1}{\sqrt{3}-1}$ and $b=\frac{\sqrt{3}-1}{\sqrt{3}+1}$, find the value of $\mathbf{a}^{2}+\mathbf{a b}-\mathbf{b}^{2}$.

What will come in place of (?) in the following question.

$7 \frac{2}{3}+6 \frac{5}{9}-5 \frac{1}{6}-3 \frac{1}{2}=?$

$\{52-(9-2)\} \div[3 \times\{1+(-2) \times(-2)\}]=?$

What will come in the place of the question mark ‘?’ in the following question?

$40 \%$ of $60+16.66 \% \times 54-20+13=?$

Find the value of $\frac{3}{4}+\frac{5}{36}+\frac{7}{144}+\ldots+\frac{19}{8100}$?

$1+\frac{2}{1+\frac{3}{2+\frac{4}{1+\frac{5}{6}}}}$

The value of $\frac{(3.2)^{3}+(2.8)^{3}}{(32)^{2}-32 \times 28+ 784}$ is:

What should come in place of question mark (?) in the following question ?

$(44 \%$ of 4957$)-(46 \%$ of 4577$)=?$