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Question

The number of consecutive odd integers whose sum can be expressed as 502132 is k then k can be

A
33
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B
35
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C
37
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D
39
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Solution

The correct option is C 37
Sum of odd n consecutive numbers n2
Therefore, 1+3+5+...+2n1=n2 where n represents the number of terms.
Therefore, 502=1+3+5+...+99 = 50 terms
132=1+3+5+...+25 = 13 terms
Therefore,
502132=27+29+....+99 = 37 terms

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