Asked/Added Questions From NCERT:

Question 1. Asked on :24 June 2021:06:26:16 PM

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

-Added by Master Mind Mathematics » Real Numbers


Master Mind

Let the a is the any odd positive interger

To Show that: a = 4q + 1 or 4q + 3 

Using Euclid's division algorithem 

a = bq + r  

∴ b = 4 

so, possible remainder will be 0, 1, 2, 3 ( 0 ≤ r < b) 

Hence, a is an odd positive integer therefore remainder will be also odd.

∴ r = 1 or 3 

Now expressing a in the form of bq + r 

a = 4q + 1 or 4q + 3 

Hence proved 

-Answered by Master Mind On 24 June 2021:06:28:42 PM(21393Average Rating Based on rating)


You can see here all the solutions of this question by various user for NCERT Solutions. We hope this try will help you in your study and performance.

This Solution may be usefull for your practice and CBSE Exams or All label exams of secondory examination. These solutions or answers are user based solution which may be or not may be by expert but you have to use this at your own understanding of your syllabus.



What do you have in your Mind....

Ask Your Question? From your text book.

Our Expert Team reply with answer soon.


Ask Your Question


* Now You can earn points on every asked question and Answer by you. This points make you a valuable user on this forum. This facility is only available for registered user and educators.

Next moment you answer is ready .... go ahead ...




Search your Question Or Keywords



Do you have a question to ask?


Ask Your Question

User Earned Point: Select




All Tags by Subjects:


Science (2307)
History (279)
Geography (311)
Economics (259)
Political Science (96)
Mathematics (394)
General Knowledge (5812)
Biology (94)
Physical Education (20)
Chemistry (118)
Civics (114)
Home Science (12)
Sociology (9)
Hindi (45)
English (259)
Physics (1435)
Other (98)
Accountancy (378)
Business Study (71)
Computer Science (128)
1 (2)



Sponsers link