## Quantitative Aptitude: Shortcut trick for Finding Squares using Vedic Maths

Today we are sharing a Vedic Method for finding the Squares of any given number. This method is called "Vedic Nikhilam Method" and is found in Atharva Veda. In this post, we are introducing the method for finding the Squares of numbers closer to 100, 1000, 10000, etc in very speedy manner.

Method
(1) Find out the square of 99 or 99
Sol-
Step - 1: Find the Base

• Base is a power of 10 nearest to given number. In this example, 100 is the nearest number to 99. So we will take 100 as our base.

Step -2 : Find the Deviation from the Base

• Deviation from base 100-99=01

Step -3 : Finding the Square: We can directly write the answer in Two Parts one after another-
Part A   Part B
• Part A : It is a number obtained from subtracting deviation from the given number. Part A = 99-1= 98
• Part B : It is a two digit number(for base 100, 3 digit number for base 1000 and so on..) and can be obtained by squaring the deviation. So, Part B = (01)2= 01

So, (99)= 9801

2. Finding out the Square of (102)When the number is more than base, the deviation to be added to the number to get Part A.
Part A : Deviation=102-100=2
Part B : (02)2=04
So, (102)2=10404
 Number Base Deviation Part A Part B Answer c) (94)2 100 100-94=6 94-6=88 62=36 8836 d) (92) 2 100 100-92=8 92-8=84 82=64 8464 e) (104)2 100 104-100=04 104+4=108 42=16 10816 f) (994)2 1000 1000-994=6 994-6=988 62=036 988036 g) (992)2 1000 1000-992=8 992-8=984 82=064 984064 h) (9992)2 10000 10000-9992=8 9992-8=9984 82=0064 99840064 i) (1006)2 1000 1006-1000=6 1006+6=1012 62=036 1012036
By regular practicing this method, one can easily find out square of nearest number of 10, 100, 1000, 1000 and so on.