UP POLICE CONSTABLE SIMPLIFICATION QUIZ-1

Question 1:

The value of $\sqrt{220+\sqrt{21+\sqrt{4+\sqrt{135+\sqrt{81}}}}}$ is:

25

15

3

9

Question 2:

$\sqrt[3]{\frac{0.000729}{0.085184}}=?$

$\frac{27}{44}$

$\frac{9}{44}$

$\frac{44}{9}$

$\frac{27}{42}$

Question 3:

What is the mean proportional between $(15+\sqrt{200})$ and $(27-\sqrt{648}) ?$

$4$

$14 \sqrt{7}$

$3 \sqrt{5}$

$5 \sqrt{3}$

Question 4:

$\frac{3 \sqrt{2}}{\sqrt{6}-\sqrt{3}}-\frac{4 \sqrt{3}}{\sqrt{6}-\sqrt{2}}-\frac{6}{\sqrt{8}+\sqrt{12}}=?$

1

$-\sqrt{3}$

$\sqrt{3}+\sqrt{2}$

$\sqrt{3}-\sqrt{2}$

Question 5:

The value of $28 \div[25+8 \div 4-\{25+(25$ of $8 \div 20)-(125 \div 5$ of $25)\}]+(25 \times 5)$ is:

129

-121

-4

121

Question 6:

The value of $9 \times 6 \div 24+8 \div 2$ of $5-30 \div 4$ of $4+27 \times 5 \div 9$ is.

$\frac{259}{8}$

$\frac{647}{40}$

$\frac{493}{8}$

$\frac{243}{8}$

Question 7:

The value of $25+184 \div[150-\{9 \times 9+(83-4 \times 15)\}]$ is:

28

27

29

26

Question 8:

If $x^{2}=7+4 \sqrt{3}$, then find the value of $x+\frac{1}{x}$.

2

3

4

5

Question 9:

Find the value of $\sqrt{90-\sqrt{90-\sqrt{90 \ldots \ldots \ldots}}}-\sqrt{72-\sqrt{72-\sqrt{72 \ldots \ldots \ldots}}}$?

$-1$

1

2

$-2$

Question 10:

Simplify : $2-\frac{4}{1+\frac{2}{1-\frac{2}{5-\frac{3}{4+\frac{2}{7}}}}}$

$\frac{87}{63}$

$\frac{237}{153}$

$\frac{126}{109}$

$\frac{255}{161}$