If 405 : y :: y : 125, and y > 0, then find the value of y.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 225
  2. 205
  3. 215
  4. 235

Answer (Detailed Solution Below)

Option 1 : 225
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
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Detailed Solution

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Given:

⇒ 405 : y :: y : 125

Concept used:

a : b : : c : d

⇒ a/b = c/d

Calculation:

405 : y :: y : 125

⇒ 405/y = y/125

⇒ y2 = 125 × 405

⇒ y = √{25 × 5 × 81 × 5}

⇒ y = 25 × 9 = 225 

∴ The correct answer is 225.

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