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CGP EDU Academic Team
Published on: August 14, 2026
Sum of certain consecutive odd positive integers is 57 2 – 13 2 . Those integers are
Text Solution
Verified by ExpertsThe correct answer is:
A
Let odd integers be 2m +1, 2m + 3,….. Let their number be n. then
57 2 – 13 2 = 
[2 (2m +1) + (n – 1). 2]
⇒ 57 2 – 13 2 = 2mn + n 2 ⇒ 57
2 – 13 2 = (m + n) 2 – m 2 ⇒ m + n = 57
⇒ n = 44
m = 13
so integers are 27, 29, 31,…… 113
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