A wheel makes 2000 revolutions in covering a distance of 44 km. Find the radius of the wheel. MCQ with Answer and Explanation

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A wheel makes 2000 revolutions in covering a distance of 44 km. Find the radius of the wheel.

A. 3.5 meters

B. 4.2 meters

C. 7.0 meters

D. 5.0 meters

Answer: Option A

Solution (By JKSSB Mock Tests)

Distance covered in 1 revolution = Total Distance / Number of Revolutions = 44000 meters / 2000 = 22 meters. Circumference = 2 * (22/7) * r = 22 => 44r / 7 = 22 => r = 154 / 44 = 3.5 meters.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A train 180 meters long passes a static utility pole in 9 seconds. Find the time it takes to completely pass a platform of length 300 meters.

A. 24 seconds

B. 26 seconds

C. 25 seconds

D. 20 seconds

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Correct Answer: Option A

Explanation:
Speed of train = 180 / 9 = 20 m/s. Total distance to pass platform = 180 + 300 = 480 meters. Time taken = 480 / 20 = 24 seconds.

This question belongs to: Maths Time Speed and Distance

Question #2

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The outer wheel of a cart makes 500 revolutions in moving a distance of 1.1 km. Find the diameter of the wheel.

A. 105 cm

B. 70 cm

C. 35 cm

D. 50 cm

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Correct Answer: Option B

Explanation:
Distance in 1 revolution = Total distance / Number of revolutions = 1100 meters / 500 = 2.2 meters. Circumference = 2 * (22/7) * r = 2.2 meters => Diameter (2r) * (22/7) = 2.2 => Diameter = 2.2 * 7 / 22 = 0.7 meters = 70 cm.

This question belongs to: Maths Time Speed and Distance