Number System

Pratice Number System Questions and answers.

START PRACTICE
Rule Description
1

If the sum of digits of two digit number is ‘a’ and if the digits or the number are reversed, such that number reduces by ‘b’, then,

Original Number \[=\frac{11a+b}{2}\]

2

If the sum of digits of two digit number is ‘a’ and if the digits of the number are reversed, such that number increases by ‘b’, then,

Original Number \[=\frac{11a-b}{2}\]

3

If the difference between a number and formed by number reversing digit is x, then the difference between both the digits of the number is

\[\frac{x}{9}\]

4

If the sum of a number and the number formed by reversing the digits is x, then the sum of digits of the number is

\[\frac{x}{11}\]

5

Remainder Calculation:

If \[\frac{a^n}{a-1}\], then remainder will always be 1,whether n is even or odd.

6

Remainder Calculation:

If \[\frac{a^{\left(even\ number\right)}}{a+1}\], then remainder will be 1.

7

Remainder Calculation:

If \[\frac{a^{\left(odd \ number\right)}}{a+1}\], then remainder will be a.

8

If n is a single digit number, then in \[n^3,n\] will be at unit place.

It is valid for the number \[0, 1, 4, 5, 6 \ or \ 9\].

9

If n is a single digit number then in \[n^p\], where p is any number (+ve), n will be at unit place.

It is valid for 5 and 6.