Home Maths Sequence and Series ( Progressions ) Geometric Progression Three numbers are in G.P. such that their su…
Maths Sequence and Series ( Progressions ) Geometric Progression Single Correct MCQ
Published on: August 13, 2026

Three numbers are in G.P. such that their sum is 38 and their product is 1728. The greatest number among them is

A
18
B
16
C
14
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

Let three number of G.P. i.e.,

and …..(i)

…..(ii)

From equation (i) ⇒ ⇒

From equation (ii)

on solving and

Required number 18, 12, 8

Maximum number i.e., 18.

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