JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The minimum value of the quantity

\frac{\left(a^2+3 a+1\right)\left(b^2+3 b+1\right)\left(c^2+3 c+1\right)}{a b c}

, where

a, b, c \in R^{+}

, is

View answer and explanation

Correct option: B

125

Option B (125) is correct because by applying AM >= GM inequality to each factor, we find the minimum value of the expression.

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