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Let \({\mathrm{a}}_{1},{\mathrm{a}}_{2},{\mathrm{a}}_{3},\ldots\) be a G. P. of increasing positive numbers. If \({\math…

Q1

Let \({\mathrm{a}}_{1},{\mathrm{a}}_{2},{\mathrm{a}}_{3},\ldots\) be a G. P. of increasing positive numbers. If \({\mathrm{a}}_{3}{\mathrm{a}}_{5}=729\) and \({\mathrm{a}}_{2}+{\mathrm{a}}_{4}=\frac{111}{4}\), then \(24\left({a}_{1}+{a}_{2}+{a}_{3}\right)\) is equal to

[JEE Main 2025, 3 Apr (Shift 1)]

a

\(131\)

b

\(130\)

c

\(129\)

d

\(128\)

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