Latest MBA Aptitude Question SOLUTION: N is a set of all natural numbers less than 500 which can be written as sum of two or more consecutive integers.Find the maximum number of elements possible in N?

1) 250

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N is a set of all natural numbers less than 500 which can be written as sum of two or more consecutive integers.Find the maximum number of elements possible in N?

1) 250
2) 491
3) 490
4) 499

Asked In MBA (11 years ago)

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Dhanesh Naresh Gujrathi  (8 years ago)

Answer - 492

Any number, having atleast one odd number as a factor, can be written as the Sum of 2 or more Consecutive natural numbers.

Eg. 9 = 2+3+4 or 4+5,
17 = 8+9, 20 = 2+3+4+5+6

Whereas, powers of 2 don't have any odd factor.

There are 7 powers of 2, which are less than 500.
2,4,8,16,32,64,128
These cannot be written as the Sum of 2 or more Consecutive natural numbers.

Hence, 499-7 = 492

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Dhanesh Naresh Gujrathi  (8 years ago)

If we do not consider 0 as a natural number, then along with powers of 2, even 1 will be out of the scope.
Eg. 1 = 0+1 cannot be valid

Hence 499-7-1 = 491

Answer - 491

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