MBA Concepts

Will you please give here concept or tricks to solve Quantitative Aptitude Test Questions on Cyclicity of Numbers in MBA entrance test paper ?

[Kiran Chandar]

As you want I am here giving you concept or tricks to solve Quantitative Aptitude Test Questions on Cyclicity of Numbers in MBA entrance test paper.

Important Concepts and Shortcuts of Cyclicity of Numbers:

Types of questions based on cyclicity of numbers
There are mainly 3 categories of questions which fall under cyclicity of numbers, that include

How to find units digit of ab
How to find units digit of ab * cd * ef
How to find units digit of a

Find units digit of ab

Given ab, units place digit of the result depends on units place digit of a and the divisibility of power b.
Consider powers of 2
As we know,
21 =2
22 = 4
23 = 8
24 = 16
25 = 32
26 = 64
27 = 128.. and so on.

Example
Find the units place digit of 299?
Using the above observation of cyclicity of powers of 2, divide the exponent by 4. 99/4 gives reminder as 3. That means, units place digit of 299 is the 3rd item in the cycle which is 8.

Important Concepts and Shortcuts of Cyclicity of Numbers