Vedic Mathematics - 1

Introduction:
The four Vedas (Atharvanaveda, Yajurveda, Rigveda, Samaveda) are the basic foundations of our Bharatavarshas Samskruti( Indian Culture). These vedas consists of many scientific explanations which are quantified with the help of Mathematics developed to account for Vedic explanation. The way of solving problems encountered in Vedas is known as Veda Ganitha( Vedic Mathematics).


Trick 1: (Ekaadheena Poorvena)

Situation: To find the square of a number that ends with digit 5.

a. (35)2

Left part: (3+1)*3 = 12 - - - i

Rightmost part: 5*5=25 - - - ii

Answer: Concatenate i and ii: 1225

b. (115)2

Left part: (11+1)*11=132

Rightmost part: 5*5=25

Answer: 13225

General formula: (xyz...5)2

Left Part: (xyz...+1)*(xyz...)=n(say)

Rightmost part: 5*5=25

Answer: n25

Trick 2: (Anthyordashakeapi)

Situation: Find the product of two numbers whose sum of last digit is 10.
(subject to condition - - - the remaining digits of the two numbers to be multiplied must be of same quantity)

a. 23*27 - - - - (3+7=10)
Left part: (2+1)*2=6
Right Part: 7*3=21
Answer: 621

b. 126*124 - - - - (6+4=10)
Left Part: (12+1)*12=156
Right Part: 6*4=24
Answer:15624

Reference:
Vega Ganitha - Veda Ganitha, Sanskrita BaalaKendram, Dharwad