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Question -

2. For some integer q, every odd integer is of the form
(A) q      (B) q +1
(C) 2g   (D) 2q +1



Answer -

Solution:
(D) 2q+1
Explanation:
Odd integers are those integers which are not divisible by 2.
Hence, we can say 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, let us conclude 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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