Question : The difference between 24 and the mean proportional of 7 and 63 is:
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 4
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Correct Answer: 3
Solution :
Let $x$ be the mean proportion.
$a=7,b=63$
For mean proportion:
$\frac{a}{x}=\frac{x}{b}$
$⇒x^2 = a\times{b}$
$⇒x = \sqrt{7\times63}$
$⇒ x = \sqrt{441}$
$⇒x = 21$
$\therefore$ The difference between 24 and the mean proportional of 7 and 63 is $=24-21 = 3$
Hence, the correct answer is 3.
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