SSC GD MATHS QUIZ

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Question 1:

What is the maximum amount of water that can be filled in an empty cylindrical tank of depth $7 \mathrm{~m}$ and radius $20 \mathrm{~m}$? ( Take $\pi=\frac{22}{7}$ )

Question 2:

The ratio of the length and breadth of a rectangular field is 4:3. If the cost of plowing the field at ₹ 2 per $\mathrm{m}^{2}$ is ₹ 600, then find the length of the field.

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:

The diameter of the base of a solid right circular cone is $66 \mathrm{~cm}$, and its curved surface area is $2145 \pi \mathrm{cm}^{2}$. The volume of the cone, in $\mathrm{cm}^{3}$, is:

Question 5:

What will be the ratio of the area of square to area of circle which inscribed in the square?

Question 6:

If the perimeter of a rectangle is 50 cm and its diagonal is 23 cm long, then what is the area of the rectangle?

Question 7:

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?

Question 8:

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 9:

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 10:

The perimeter of a circular field is $1012 \mathrm{~m}$. The area of this field is equal to a rectangular garden whose sides are in the ratio $14: 11$. The longer side of the garden is: (Take $\left.\pi=\frac{22}{7}\right)$