SSC MTS (MENSURATION) NUMERICAL APTITUDE QUIZ

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Question 1:

Length of a rectangular field is thrice its breadth. If perimeter of the field is $400 \mathrm{~m}$, then ( $2 \times$ length $+3 \times$ breadth) is equal to:

Question 2:

From a cube of side 8 cm, small cubes each of side 4 cm are cut. What is the difference between the total surface area of all the small cubes and that of the original cube?

Question 3:

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

Question 4:

If the height of a right circular cone is $24 \mathrm{~m}$ and its slant height is $30 \mathrm{~m}$, then what is the area of its curved surface? (Use $\pi=\frac{22}{7}$ )

Question 5:

12 spherical balls of radius 10 cm are dropped in a bucket which is full of water up to the brim. The water flowed out is collected in a cylindrical jar of radius 20 cm. What is the height (in cm) of the water in the jar? (Take, π = 22/7)

Question 6:

Which of the following figures have linear symmetry but no rotational symmetry?

Question 7:

Area of a triangle of sides 45 cm, 51 cm and 24 cm is equal to the area of a rectangle of length 30 cm. Then, perimeter of the rectangle is:

Question 8:

The area of a circular garden of diameter $9.8 \mathrm{~m}$ is $\mathrm{A}$. Then, value of $2 \mathrm{~A}+4.48 \mathrm{~m}^2$ is: (use $\pi=\frac{22}{7}$ )

Question 9:

A spherical ball of radius 3 cm, is immersed in water contained in a vertical cylinder of radius 5 cm. Assuming the water covers the ball completely, what is the rise in the water level (in cm), up to two decimal places)?

Question 10:

The diameter of a road roller of length $1 \mathrm{~m}$ is $84 \mathrm{~cm}$. It takes 750 complete revolutions to level a ground once. Then, area of the ground is- (use $\pi=\frac{22}{7}$ )