Maharashtra BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
MCQ
For some integer $q,$ every odd integer is of the form:
A
$q$
B
$q + 1$
C
$2q$
✓
$2q + 1$
✓
Answer
Correct option: D.
$2q + 1$
We know that, all numbers that are not the multiple of $2$ are odd numbers.
Odd integers are $..., -3, -1, 1, 3, 5,...$
So, odd numbers can be written as $2m + 1,$ where $m$ is an integer.
$m$ can be $..., -2, -1, 0, 1, 2,...$
$\therefore 2m + 1$ can be$ ..., -3, -1, 1, 3,...$
Hence, the correct answer is option $D.$
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