For some integer q, every odd integer is of the form : - Vidyadip

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 $D$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Real Numbers→Real Numbers — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The decimal expansion of $\pi$ :

A bag contains $4$ red and $6$ black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?

If the area of a square is same as the area of a circle, then the ratio of their perimeters, in terms of $\pi,$ is :

If two positive integers $a$ and $b$ are written as $a=x^3 y^2$ and $b=x y^3 ; x, y$ are prime numbers, then $\text{HCF} \ (a, b) $ is :

If the point $P(6, 2)$ divides the line segment joining $A(6, 5)$ and $B(4, y)$ in the ratio $3 : 1,$ then the value of $y$ is :

Choose the correct answer from the given four options:
Its is given that $\triangle\text{ABC}\sim\triangle\text{PQR},\text{with}\frac{\text{BC}}{\text{QR}}=\frac{1}{3}.$$\text{Then},\frac{\text{ar}(\text{PQR})}{\text{ar}(\text{BCA})}$ is equal to:

Choose the correct answer from the given four options in the following questions:
Which of the following is not a quadratic equation?

If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is

If one of the zeros of the cubic polynomial $x^3+ ax^2 + bx + c$ is $-1$, then the product of the other two zeros is: