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Question

For some integer q, every odd integer is of the form


A

q

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B

q+1

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C

2q

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D

2q+1

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Solution

The correct option is D

2q+1


Form of Odd Integers:

Odd integers are the integers that are not divisible by 2.

Hence, we observe that every integer which is a multiple of 2 must be an even integer, while 1 added to every integer which is multiplied by 2 is an odd integer.

Therefore, we note that,

for an integer ‘q’, every odd integer must be of the form

(2×q)+1=2q+1.

Hence, option D is the correct answer.


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