Quantitative Aptitude: Speed Maths\Vedic Maths: Squaring by Vedic Nikhilam Method

Important concept i.e. Squaring by Vedic Nikhilam Method  to help the aspirants in attempting all the questions speedily. Here, we are providing basic concepts to make the calculation faster than doing from long and traditional ones. Practice and thorough learning of some values can help the candidates in cracking Quantitative Aptitude/Numerical Ability Section in Bank Exam, SSC Exam, Railway and Other Exam
 •Here, we are introducing the Squaring of numbers closer to 100, 1000, 10000, etc in very speedy manner.

 •Vedic Nikhilam Method is explained for squaring which is found in Atharva Veda. Here squaring is explained with the help of Yavadunam Formula.

Method

a) Finding out the Square of 99 or (99)2

Step 1. Decide the base: Base is some power of 10 nearest to the given number. In this example, (10)2 i.e.100 is the nearest number to 99. So we will take 100 as our base.

Deviation from base 100-99=01

Step 2. Squaring: 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)2 = 9801

b) Finding out the Square of (102)2 : 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.
(jagranjosh.com)