SSC MTS MATHS QUIZ

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Question 1:

Find the total surface area of a sphere whose radius is $63 \mathrm{~cm}$.

Question 2:

A solid sphere of radius $2 \mathrm{~cm}$ is melted to convert in to a wire of length is $100 \mathrm{~cm}$. The radius of the wire.

Question 3:

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 $\left(\pi=\frac{22}{7}\right.$ )

Question 4:

If the volume of a cone is $770 \mathrm{~cm}^3$ and its height is $15 \mathrm{~cm}$, then the radius of its base is: (take $\pi=\frac{22}{7}$ )

Question 5:

Find the cost of carpeting a room 14 m long and 8 m broad with a carpet 50 cm wide at the rate of ₹ 9.40 per m?

Question 6:

The diameter of the base of a right circular cone is $60 \mathrm{~cm}$ and its height is $16 \mathrm{~cm}$. The curved surface area (in $\mathrm{cm}^2$ ) of the cone is:

Question 7:

If diagonal of a cube is $\sqrt{108} \mathrm{~cm}$, then the volume (in $\mathrm{cm}^3$ ) of the cube is:

Question 8:

If the surface areas of two spheres are in the ratio of 4:25, then find the ratio of their volumes.

Question 9:

The sum of the length, the breadth and the height of a cuboid is 18cm. If the length of its diagonal is 13 cm, then the total surface area of the cuboid is:

Question 10:

The length, breadth and height of a cuboid are in the ratio $1: 2: 3$. If its total surface area is $1100 \mathrm{~cm}^2$, then its volume (in $\mathrm{cm}^3$ ) is :