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SSC CGL 2022 PYQ — Question 71

SSC CGL - 03 Dec 2022 - Shift 2 • Quantitative Aptitude • Q71

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Find the mean proportion between (6+8){(6+\sqrt8)} and (3−2){(3-\sqrt2)}.

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Correct answer: B

Explanation

The correct answer is Option 2 i.e.14{\sqrt14}

Concept used:

If x is the mean proportion of and b then

x2 = ab             ---- (1) 

Calculations:

Let the mean proportion be x.

Using equation (1), we get

⇒ x2 = (6 + 2√2)(3 - √2)

⇒ x2 = 18 - 6√2 + 6√2 - 4

⇒ x2 = 18 - 4 = 14

⇒ x = √14