A gear 15 cm in diameter is turning a gear 21 cm in diameter. When the smaller gear has 105 revolutions, how many has the larger one made?

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 3)
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  1. 100
  2. 75
  3. 85
  4. 90

Answer (Detailed Solution Below)

Option 2 : 75
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

A gear 15 cm in diameter is turning a gear 21 cm in diameter.

When the smaller gear has 105 revolutions, how many has the larger one made?

Formula used:

The number of revolutions is inversely proportional to the diameter of the gears.

Calculation:

Let the number of revolutions of the larger gear be x.

⇒ 15 × 105 = 21 × x

⇒ x = (15 × 105) / 21

⇒ x = 75

∴ The correct answer is option (2).

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