What is the mean proportional of 45x4 and 5y2?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 21 Jun, 2024 Shift 2)
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  1. 5x2y
  2. 25x4y
  3. 15x2y
  4. 45x2y2

Answer (Detailed Solution Below)

Option 3 : 15x2y
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Detailed Solution

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Given:

Numbers: 45x4 and 5y2

Formula Used:

Mean Proportional = \(\sqrt{a \times b}\)

Calculation:

Let a = 45x4 and b = 5y2

Mean Proportional = \(\sqrt{45x^4 \times 5y^2}\)

⇒ Mean Proportional = \(\sqrt{225x^4y^2}\)

⇒ Mean Proportional = 15x2y

The mean proportional of 45x4 and 5y2 is 15x2y.

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