SSC CGL MATHS QUIZ

One side of a right-angled triangle thrice the other and the hypotenuse is 8 cm. Find the area of the triangle.

The radii of a cylinder and a cone are in the ratio $1: 3$, and the height of the cylinder is $1.5$ times the slant height of the cone. What is the ratio of the curved surface areas of the cylinder and the cone?

If a brick measures $28 \mathrm{~cm} \times 18 \mathrm{~cm} \times 6 \mathrm{~cm}$, then, How many bricks would be needed to build a wall $21 \mathrm{~m}$ long, $12 \mathrm{~m} $ high and $36 \mathrm{~cm}$ thick?

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:

The width of the path around a square field is $4.5 \mathrm{~m}$ and its area is $105.75 \mathrm{~m}^{2}$. Find the cost of fencing the square field at the rate of ₹100 per metre.

The area of a rectangular garden is 432 m$^2$. The perimeter (in m) of the rectangular garden whose length is 6 m more than its width is:

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:

The area of the floor of a cubical room is 192 m². The length of the longest rod that can be kept in that room is

A cuboid of mercury, measuring 40 cm $\times 20$ cm $\times 16$ cm, is melted to form spheres of diameter $10$ cm. How many balls will be made in this way? (in approximation)