Home Maths Sequence and Series ( Progressions ) Arithmetic Progression Three number are in A.P. such that their sum…
Maths Sequence and Series ( Progressions ) Arithmetic Progression Single Correct MCQ
Published on: August 13, 2026

Three number are in A.P. such that their sum is 18 and sum of their squares is 158. The greatest number among them is

A
10
B
11
C
12
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
B

Let three number of A.P.

Sum = 18, and

and

=

⇒ ⇒ .

Hence Numbers are 1, 6, 11, i.e. maximum number is 11.

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