SSC CGL QUANT QUIZ

Question 1:

The height of a cone is $45 \mathrm{~cm}$ and perimeter of its base is $176 \mathrm{~cm}$. What is the curved surface area of the cone? (take $\pi=\frac{22}{7}$ )

$4559 \mathrm{~cm}^{2}$

$4664 \mathrm{~cm}^{2}$

$4881 \mathrm{~cm}^{2}$

$4224 \mathrm{~cm}^{2}$,

Question 2:

The length of a rectangular board is 4 times that of its breadth. If the area of the board is $256 \mathrm{sq}$. meters, find its length.

8m

16m

24m

32m

Question 3:

The perimeter and the area of a rectangular sheet are $62 \mathrm{~m}$ and $168 \mathrm{~m}^{2}$, respectively. The length of the diagonal is:

$15 \mathrm{~m}$

$25 \mathrm{~m}$

$20 \mathrm{~m}$

$13 \mathrm{~m}$

Question 4:

If the edge of a cube be $2.4 \mathrm{~cm}$, then the volume of the cube

$13.824 \mathrm{~cm}^{3}$

$12.624 \mathrm{~cm}^{3}$

$13.324 \mathrm{~cm}^{3}$

$12.724 \mathrm{~cm}^{3}$

Question 5:

If the diameter of the base of a cone is $42 \mathrm{~cm}$ and its curved surface area is $2310 \mathrm{~cm}^{2}$, then what will be its volume (in $\mathrm{cm}^{3}$ )?

38808

19404

12936

25872

Question 6:

The diagonals of the three faces of cuboid are $x, y$ and $z$, respectively. What is the Volume of the Cuboid?

$\frac{x y z}{z \sqrt{2}}$

$\frac{\sqrt{\left(y^{2}+z^{2}\right)\left(z^{2}+x^{2}\right)\left(x^{2}+y^{2}\right)}}{2 \sqrt{z}}$

$\frac{\sqrt{\left(y^{2}+z^{2}-x^{2}\right)\left(z^{2}+x^{2}-y^{2}\right)\left(x^{2}+y^{2}-z^{2}\right)}}{2 \sqrt{2}}$

None of these

Question 7:

The sides of a triangle are in the ratio $2: 3: 4$ The perimeter of the triangle is $18 \mathrm{~cm}$. The area of the triangle is?

$3 \sqrt{15} \mathrm{~cm}^{2}$

$4 \sqrt{15} \mathrm{~cm}^{2}$

$3 \sqrt{18} \mathrm{~cm}^{2}$

$4 \sqrt{14} \mathrm{~cm}^{2}$

Question 8:

A cylindrical pillar is $50 \mathrm{~cm}$ in diameter and $3.5 \mathrm{~m}$ in height. Find the cost of painting the curved surface of the pillar at the rate of Rs. $12.50$ per $\mathrm{m}^{2}$. [Assume $\left.\pi=\frac{22}{7}\right]$

Rs.$68.75$

Rs.$78.32$

Rs.$62.36$

Rs.$72.34$

Question 9:

A sector is cut from a circle of radius $21 \mathrm{~cm}$. If the length of the arc of the sector is $55 \mathrm{~cm}$, then what is the area of the sector?

$577 \cdot 5 \mathrm{~cm}^{2}$

$612.5 \mathrm{~cm}^{2}$

$705 \cdot 5 \mathrm{~cm}^{2}$

$725.5 \mathrm{~cm}^{2}$

Question 10:

If the diameter of a semi-circular protractor is 72 cm then its diameter is –

28 cm

12 cm

14 cm

15 cm