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Bunuel
A wheel of a car of radius 21 cms is rotating at 600 rotations per minute. What is the speed of the car in km/hr?

A. 79.2 km/hr
B. 47.52 km/hr
C. 39.6 km/hr
D. 7.92 km/hr
E. 3.96 km/hr

Since the radius of the wheel is 21 cm, the circumference of the tire is 21 x 2π = 42π cm. Since the wheel is rotating at 600 rotations per minute, the car is traveling at 42π x 600 cm per minute. Since there are 60 minutes in an hour, the car is traveling at 42π x 600 x 60 = 42π x 36,000 cm per hour. Since 1 km = 1000 m and 1 m = 100 cm, 1 km = 1000 x 100 = 100,000 cm, and therefore, the car is traveling at 42π x 36,000 / 100,000 = 42π x 36 / 100 ≈ 47.5 km/hr.

(Note: If we use 22/7 for π, we will have 42 x 22/7 x 36 / 100 = 6 x 22 x 36 / 100 = 47.52 km/hr.)

Answer: B
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