# SSC QUANT QUIZ 1

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## Question 1:

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

## 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 $\pi=\frac{22}{7}$?

## Question 3:

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

## Question 4:

Find the value

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

## Question 5:

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

## Question 6:

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

## Question 7:

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

## Question 8:

Find the area of a rhombus whose side is $6 \mathrm{~cm}$ and whose altitude is $4 \mathrm{~cm}$. If one of the diagonals is $8 \mathrm{~cm}$ long, find the length of the other diagonal?

## 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:-

## 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 $x^{3}+y^{3}+z^{3}-3 x y$?