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NDA || Mathematics || Mensuration || Quiz 2020

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Question 1

If the diagonals of a rhombus are x and y, then what is its area?

Question 2

Radha has a solid metal ball with diameter 6 cm. she melts it and uses the material for making a solid cylinder. If the diameter of the cylinder is same as the ball, then it’s height be?

Question 3

Suppose a region is formed by removing a sector of 20° from a circular region of radius 30 feet. What is the area of this new region?

Question 4

Out of 4 identical balls of radius r, 3 balls are placed on a plane such that each ball touches the other two balls. The 4th ball is placed on them such that this ball touches all the three balls. What is the distance of centre of 4th ball from the plane ?

Question 5

A right circular cylinder just encloses a sphere. If p is the surface area of the sphere and q is the curved surface area of the cylinder, then which one of the following is correct?

Question 6

A pipe with square cross-section is supplying water to a cistern which was initially empty. The area of cross-section is 5 cm2 and the nozzle velocity of water is 50 m/s. The dimensions of the cistern are 8 m × 6 m × 4 m. Then the cistern will be full in

Question 7

A heavy metallic cylindrical roller of length 3 m is being used in road construction. It takes eight complete rounds to roll a distance of 20 m. What area of the road it covers in one round?

Question 8

A hemispherical container of radius 6 cm is filled with liquid up to the top surface. A spherical ball is immersed into the container such that none of the portion of ball is above the top surface of container. What is the volume of liquid displaced by ball?

Question 9

A square metal sheet is rolled along its side into a cylinder. What is the ratio of the base radius to the diagonal of the metal sheet?

Question 10

In a circle of diameter 44 cm, the length of a chord is 22 cm. What is the length of minor arc of the chord?
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Jan 19CDS & Defence