Arrange the following ratios in ascending order.

3 ∶ 4, 3 ∶ 5, 2 ∶ 11, 7 ∶ 2  

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 3)
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  1. 3 ∶ 5 < 2 ∶ 11 < 3 ∶ 4 < 7 ∶ 2
  2. 2 ∶ 11 < 3 ∶ 5 < 3 ∶ 4 < 7 ∶ 2
  3. 7 ∶ 2 < 3 ∶ 4 < 3 ∶ 5 < 2 ∶ 11
  4. 3 ∶ 4 < 3 ∶ 5 < 2 ∶ 11 < 7 ∶ 2

Answer (Detailed Solution Below)

Option 2 : 2 ∶ 11 < 3 ∶ 5 < 3 ∶ 4 < 7 ∶ 2
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Detailed Solution

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Given:

3 ∶ 4, 3 ∶ 5, 2 ∶ 11, 7 ∶ 2

Formula used:

Convert ratios to fractions and compare them.

Calculation:

3 ∶ 4 = 3/4 = 0.75

3 ∶ 5 = 3/5 = 0.6

2 ∶ 11 = 2/11 ≈ 0.1818

7 ∶ 2 = 7/2 = 3.5

Arrange in ascending order:

2/11 ≈ 0.1818 < 3/5 = 0.6 < 3/4 = 0.75 < 7/2 = 3.5

⇒ 2 ∶ 11 < 3 ∶ 5 < 3 ∶ 4 < 7 ∶ 2

∴ The correct answer is option 2.

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