Three numbers are in the ratio 4 : 5 : 7. The sum of the smallest and largest numbers is 44. What is the second smallest number?

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SSC MTS (2022) Official Paper (Held On: 18 May, 2023 Shift 1)
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  1. 28
  2. 32
  3. 20
  4. 24

Answer (Detailed Solution Below)

Option 3 : 20
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Detailed Solution

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Given:

Let, the three numbers are A, B & C respectively.

A : B : C = 4 : 5 : 7

Smallest number + largest number = 44

Calculation:

 A : B : C = 4 : 5 : 7

According to the question:

⇒ (7 + 4) units = 11 units = 44

⇒ 1 unit = 4 

⇒ 5 units = 4 × 5 = 20

∴ The correct answer is 20.

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