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Mathematics

The diameter of the front wheel and the rear wheel of the cycle are 70 cm and 168 cm respectively. In covering a certain distance, the front wheel makes 600 revolutions. The number of revolutions made by the rear wheel to cover the same distance is :

  1. 248

  2. 250

  3. 252

  4. 254

Mensuration

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Answer

Circumference of circle = 2πr = πd

Front wheel circumference :

C1 = π × 70

Rear wheel circumference :

C2 = π × 168

Distance covered by front wheel in 600 revolutions = 600 × π × 70

Let rear wheel revolutions = x

Since both cover the same distance

∴ x × π × 168 = 600 × π × 70

x = 600×70168\dfrac{600 × 70}{168}

x = 42000168\dfrac{42000}{168} = 250.

Hence, option 2 is the correct option.

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