MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 10
        
For any positive integer n, show that one and only one out of n, n+3, n+6, or n+9 is divisible by 4.
8 months ago

Answers : (1)

Arun
13145 Points
							
Dear Palak
 
n can be of the form of 
i) 4n
ii) 4n + 1
iii) 4n + 2
iv) 4n + 3
 
Now using 1st case
4n, 4n+ 3, 4n + 6 , 4n + 9
Only 4n is divisible by 4
 
Now using 2nd case
4n + 1, 4n + 4, 4n + 7, 4n + 10
Only 4n + 4 = 4 (n+1) is divisible by 4
 
similarly you can do this for rest of the cases and find that only one number is divisible by 4
 
Regards
Arun (askIITians forum expert)
8 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 728 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 1,590 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details