For some integer q, every odd integer is of the form
a. q
b. q + 1
c. 2q
d. 2q + 1
Solution:
Odd integers are 1, 3, 5,…
We can write it in the form of 2q + 1
q = integer or q = …., -2, -1, 0, 1, 2, 3, ….
2q + 1 = …., -3, -1,1, 3, 5,….
Therefore, 2q + 1 = …., -3, -1,1, 3, 5,….
✦ Try This: Determine whether 135 is an odd number or not
We have to check the divisibility of the number by 2. On dividing the given number 135 by 2, we get the remainder as 1
This proves that 135 is an odd number
Therefore, 135 is an odd number
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 1
NCERT Exemplar Class 10 Maths Exercise 1.1 Problem 2
For some integer q, every odd integer is of the form a. q, b. q + 1, c. 2q, d. 2q + 1
Summary:
For some integer q, every odd integer is of the form 2q + 1. Hence option D is the correct answer.
☛ Related Questions:
- n² – 1 is divisible by 8, if n is a. an integer, b. a natural number, c. an odd integer, d. an even . . . .
- If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is (A) 4, (B) 2, . . . .
- The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is (A) 13, (B . . . .