# Solution - Euclid’s Division Lemma

Account
Register

Share

Books Shortlist
ConceptEuclid’s Division Lemma

#### Question

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

#### Solution

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

#### Similar questions VIEW ALL

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

view solution

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

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

view solution

An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

view solution

Show that any positive integer which is of the form 6q + 1 or 6q + 3 or 6q + 5 is odd, where q is some integer.

view solution

#### Reference Material

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