The sum of two consecutive odd numbers is always divisible by:

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All of the above

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Solution

The correct option is D All of the above
Let the first odd number be 2x + 1, then the next consecutive odd number will be 2x + 3.
Sum of these numbers is,2x + 1 + 2x + 3 = 4x + 4 = 4(x + 1)
It is a multiple of 4. Therefore, it is always divisible by 4.
Since it is multiple of 4, it is divisible by 1, 2 and 4.

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