SSC CHSL MATHEMATICS QUIZ

Question 1:

The ratio of the heights of two cones is $2:1$ and the ratio of their radii is $1:2$. Find the ratio of their volumes.

4: 3

2: 1

1: 2

3: 4

Question 2:

A Solid metallic sphere is radius $15 \mathrm{~cm}$ is melted and recast into spherical balls of radius $3 \mathrm{~cm}$ each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?

$1: 5$

$3: 27$

$1: 10$

$3: 40$

Question 3:

One side of rhombus is $13 \mathrm{~cm}$ and one of its diagonals is 10 cm. What is the Area of rhombus is ?

$120\mathrm{~cm}^{2}$

$140\mathrm{~cm}^{2}$

$160\mathrm{~cm}^{2}$

$100\mathrm{~cm}^{2}$

Question 4:

A metallic hemispherical bowl is made up of steel. The total steel used in making the bowl is $342 \pi \mathrm{cm}^{3}$. The bowl can hold $144 \pi \mathrm{cm}^{3}$ water then what is the total surface area of outer side metallic hemisphere ?

$343 \pi$

$243 \pi$

$246 \pi$

$347 \pi$

Question 5:

Water is flowing at the rate of $5 \mathrm{~km} / \mathrm{h}$. through a pipe of diameter $14 \mathrm{~cm}$ into a rectangular tank which is $50 \mathrm{~m}$ long and $44 \mathrm{~m}$ wide. Determine the time in which the level of water in the tank will be rised by $7 \mathrm{~cm}$ $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

$2.1 \mathrm{~h}$

$2 \mathrm{~h}$

$2.5 \mathrm{~h}$

$2.2 \mathrm{~h}$

Question 6:

The base of right pyramid is an equilateral triangle with side $10 \mathrm{~cm}$, and its height is $30 \sqrt{3} \mathrm{~cm}$ .The volume of pyramid is .

$630 \mathrm{~cm}^{3}$

$660 \mathrm{~cm}^{3}$

$=750 \mathrm{~cm}^{3}$

$720 \mathrm{~cm}^{3}$

Question 7:

A hollow iron pipe is $14 \mathrm{~cm}$ long and its outer diameter is $6 \mathrm{~cm}$. If the thickness of the pipe is $1 \mathrm{~cm}$ and the weight of iron is $8 \mathrm{~g} / \mathrm{cm}^{3}$, then the weight of the pipe ( in $\mathrm{Kg}$) how much? Use $\left(\pi=\frac{22}{7}\right.$ )

1.76

2.54

1.68

1.92

Question 8:

The total surface area of a solid cubical box is $726 \mathrm{~m}^{2} .$ It is melted and recast into a circular cylinder of height $14 \mathrm{~m} .$ What is the radius of the cylinder?

$21 \mathrm{~m}$

$11 \mathrm{~m}$

$5.5$ m

$8 \mathrm{~m}$

Question 9:

The volume of a cone is $144 \pi$ cm$^{3}$. If its height is twice the radius of its base, then what will be the curved-surface area (in cm$^2$) of the cone?

$72 \sqrt{5} \pi$

$36 \sqrt{10} \pi$

$36 \sqrt{5} \pi$

$27 \sqrt{10} \pi$

Question 10:

From a solid cylindrical wooden block of height. $20 \mathrm{~cm}$ and radius $15 \mathrm{~cm}$, a conical cavity of the same height and same radius is taken out. What is the total surface area $\left(\right.$ in $\left.\mathrm{cm}^{2}\right)$ of the remaining solid?

$1056 \pi$

$1236 \pi$

$1444 \pi$

$1200 \pi$