On dividing a number by 5 , we get 3 as remainder, What will be the remainder when the square of this number is divised by 5?
Created: 2 years ago |
Updated: 8 months ago
best des
When a number is divided by 5 and we get a remainder of 3, it means the number can be expressed as:
Number = 5k + 3
where "k" is an integer.
Now, let's find the square of this number:
(Number)^2 = (5k + 3)^2
Expanding this expression:
(Number)^2 = 25k^2 + 30k + 9
Now, let's consider this expression modulo 5 to find the remainder when the square of the number is divided by 5.
25k^2 is divisible by 5, so it leaves no remainder.
30k is also divisible by 5, so it leaves no remainder.
Finally, 9 divided by 5 leaves a remainder of 4.
So, the remainder when the square of this number is divided by 5 is 4.
Related Question
View More
Created: 6 years ago |
Updated: 1 month ago
Created: 6 years ago |
Updated: 1 month ago
Created: 6 years ago |
Updated: 1 year ago
Promotion
Download Our Mobile Apps
