SSC QUANT QUIZ 1

Question 1:

If $x-\frac{1}{x}=3$, then what is the value of $\frac{2 x^{4}+3 x^{3}+13 x^{2}-3 x+2}{\left(3 x^{4}+3\right)}$

$\frac{1}{3}$

$\frac{2}{5}$

$\frac{4}{3}$

$\frac{5}{3}$

Question 2:

120 discs each of diameter $21 \mathrm{~cm}$ and thickness $\frac{1}{3} \mathrm{~cm}$ are tracked one above the other to form a right circular cylinder. What is its volume in cm$^3$. If $\pi=\frac{22}{7}$?

12320

16546

13860

14320

Question 3:

The value of $\sqrt{6-\sqrt{17-2 \sqrt{72}}}$ is closest to

$2.7$

$2.4$

$2.1$

$2.9$

Question 4:

Find the value

$\frac{1}{5}+\frac{1}{45}+\frac{1}{117}+\ldots \ldots . .+\frac{1}{3965}$

$\frac{26}{16}$

$\frac{16}{65}$

$\frac{65}{16}$

$\frac{64}{65}$

Question 5:

If $4 \cdot x^{9 / 4}-9 \cdot x^{9 / 8}+4=0$, then find $x^{9 / 4}+x^{-9 / 4}=$.

$\frac{53}{20}$

$\frac{64}{33}$

$\frac{49}{16}$

$\frac{9}{4}$

Question 6:

Find maximum value of $5 \cos \theta+3 \cos$ $\left(\theta+\frac{\pi}{3}\right)+3$ is:

10

$-6$

8

9

Question 7:

The radius of cylinder is increased by $150 \%$ and its height is decreased by $20 \%$. What is percentage increased in its volume?

200%

300%

500%

400%

Question 8:

A rhombus whose side is $5$ cm and whose height is $4.8$ cm. If one diagonal is $8$ cm long, find the length of the other diagonal.

6 cm

8 cm

10 cm

5 cm

Question 9:

If the radius of a cylinder is decreased by $25\%$ and the height is increased by $20 \%$ to form a new cylinder, then the volume will be decreased by:-

$31.5 \%$

$32.5 \%$

$28.6\%$

$27.8 \%$

Question 10:

If $x+y=4, \quad x y=3, \quad y+z=5, \quad y z=4, \quad z+x=7$ and $z x=12$, then find the value of $x^{3}+y^{3}+z^{3}-3 x y$?

91

79

56

81