# Sum of first 'n' natural numbers, divisibility : AP, Number Systems

The question a progressions question with a flavour of Number Systems with divisibility thrown in for good measure.

#### Question

The sum of the first 100 natural numbers, 1 to 100 is divisible by

- 2, 4 and 8
- 2 and 4
- 2
- 100
- None of these

Correct Answer -

** 2 **. Choice (3)

#### Explanatory Answer

The sum of the first 100 natural numbers is

.

101 is an odd number and 50 is divisible by 2.

Hence, 50*101 will be divisible by 2.

Correct answer choice (3)

Level of difficulty : Easy to Moderate

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