# Solution - Euclid’s Division Lemma

Account
Register

Share

Books Shortlist
Your shortlist is empty
ConceptEuclid’s Division Lemma

#### Question

Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

#### Solution

You need to to view the solution
Is there an error in this question or solution?

#### Similar questions VIEW ALL

Use Euclid's Division Algorithm to show that the cube of any positive integer is either of the 9m, 9m + 1 or 9m + 8 for some integer m

view solution

Use Euclid's Division Algorithm to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

view solution

Show that one and only one out of n; n + 2 or n + 4 is divisible by 3, where n is any positive integer.

view solution

Using Euclid's division algorithm, find the H.C.F. of 196 and 38220

view solution

Using Euclid's division algorithm, find the H.C.F. of (iii) 867 and 255

view solution

#### Reference Material

Solution for concept: Euclid’s Division Lemma. For the course 8th-10th CBSE
S