NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 1: Real Numbers - Exercise 1.1 - Multiple Choice Questions
Question 1

Question. 1

For some integer m, every even integer is of the form

(A)

\(m\)

(B)

\(m + 1\)

(C)

\(2m\)

(D)

\(2m + 1\)

An even integer is any number that can be divided by 2 without leaving a remainder.

If we take an integer \(m\), then \(2m\) is always even because it has a factor of 2.

The form \(m\) or \(m+1\) can represent any integer, not specifically even ones. The form \(2m+1\) is the general form of odd integers.

Therefore, every even integer can be written in the form \(2m\).