# Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6 Cube + 5 Where Q is some integer

Answers (1)

Let a be a given integer.
On dividing a by 6 , we get q as the quotient and r as the remainder such that
a = 6q + r, r = 0,1,2,3,4,5
when r=0
a = 6q,even no
when r=1
a = 6q + 1, odd no
when r=2
a = 6q + 2, even no
when r = 3
a=6q + 3,odd no
when r=4
a=6q + 4,even no
when r=5,
a= 6q + 5 , odd no
Any positive odd integer is of the form 6q+1,6q+3 or 6q+5.

### Preparation Products

##### Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
##### Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
##### Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
##### Test Series NEET May 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
##### Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course

Exams
Articles
Questions