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Standard Deviation about Mean for Continuous Frequency Distributions

abcd = 81 fin...

Question

$a b c d = 81$ find minimum value of $a + b + c + d$ ?

12

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Solution

The correct option is A $12$
Given $a b c d == 81$
As we know that
$A M \geq G M$
$⟹ \frac{a + b + c + d}{4} \geq \sqrt[4]{a b c d}$
$⟹ a + b + c + d \geq 4 \times \sqrt[4]{3^{4}}$
$⟹ a + b + c + d \geq 12$

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