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CDS || Elementary Mathematics || 3 D Mensuration || Quiz

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Question 1

Half of a large cylindrical tank open at the top is filled with water and identical heavy spherical balls are to be dropped into the tank without spilling water out. If the radius and the height of the tank are equal and each is four times the radius of a ball, what is the maximum number of balls that can be dropped ?

Question 2

A wheel of a bicycle has inner diameter 50 cm and thickness 10 cm. what is the speed of the bicycle if it makes 10 revolutions in 5 seconds ?

Question 3

In order to fix an electric pole along a roadside, a pit with dimensions 50cm x 50cm is dug with the help of a spade. The pit is prepared by removing earth by 250 strokes of a spade. If one stroke of spade removes 500 cm3 of earth, then what is the depth of the pit?

Question 4

The paint in a certain container is sufficient to paint an area equal to 5.875 m2. How many bricks of dimensions 12.5 cm × 10 cm × 7.5 cm can be painted out this container?

Question 5

How many litres of water flow out of a pipe having an area of cross-section of 5 cm2 in one minute, if the speed of water in the pipe is 30 cm/sec?
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Feb 8CDS & Defence