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Question

how many ways can 1000 be written as sum of 2 or more consecutive natural numbers?

A
4
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B
10
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C
3
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D
16
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E
15
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Solution

The correct option is C 3

option (c)

Shortcut:- Number of ways of writing a number as a sum of 2 consecutive natural numbers= number of odd factors of that number-1

1000=23×53. number of odd factors = 4

Answer =4-1=3


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