Home
Class 11
MATHS
The square of an odd integer must be of ...

The square of an odd integer must be of the form:

A

6n+1

B

6n+3

C

8n+1

D

4n+1 but may not be 8n+1

Text Solution

Verified by Experts

The correct Answer is:
Option 4
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the square of any odd integer is of the form 4m+1, for some integer m.

Show that the square of an odd positive integer is of the form 8q+1, for some integer q.

Show that the square of any positive odd integer is of the form 4t+ 1, for some integer t.

Use Euclid's algorithm to establish that (i) every odd integer is of the form 4k+1 or 4k+3. (ii) the square of any integer is either of the form 3k or 3k+1 (iii) the cube of any integer is of the from 9k,9k+1 or 9k+8 .

Proof that the square of any positive integer is of the form of 4m or 4m+1 for some integer m.

Show that the square of any positive integer is of the form 3m or,3m+1 for some integer m

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q.

Prove that the square of any positive integer is of the form 5q,5q+1,5q+4 for some integer q.

Consider the following statements : 1. Of two consecutive integers, one is, even. 2. Square of an odd integer is of the form 8n + 1. Which of the above statements is/are correct ?