Examples of Vedic Mathematics

FEW EXAMPLES SOLVED ON THE BASIS OF VEDIC MATHEMATICS

Dinesh Bansal, # 1427, FF,Sec-15, Panchkula,HARYANA. dineshbansalvm@gmail.com

Arithmetic
Example 1. Multiply 996 x 988
Solution 998 – 012
966 – 004
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984/048 = 984048 Answer.

Example 2. Multiply 241 x 324
Solution 241
324
--------
6/16/19/18/4 = 78084 Answer.

Example 3. Squaring 155
Solution 115² = 11 x 12 /25 = 13225 Answer.

Example 4. Cubing 105
Solution 105+10/15x5/5³ = 1157625 Answer.

Algebra

Example 5. Multiply (2x² + x + 3) x (3x² +2x +4).
Solution x² x c
2 1 3
3 2 4
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6/7/19/10/12.
= 6x4 + 7x³ + 19x² + 10x + 12 Answers.

Example 6. Solve X + 1/X = 29/10.
Solution D = 10 = 5x2
N = 5² + 2² = 29.
So x = 5/2 or 2/5. Answer .

Examle 7. Solve 6x 104 – 35x³ + 62x² - 35x + 6 = 0.
Solution Putting y = x+1/x we get 6y² -35y + (62- 6- 6) = 0.
6y² - 35y + 50 = 0.
Gives y = 5/2 or 10/3.

Y = x+1/x =5/2 {X =2/1 or 1/2}
Y = x+1/x = 10/3 {X = 3/1 or 1/3} Answer.


Trignometry

Example 8. If Cos = 2/3 and Sin B = 5/6. Find Sin ( A + B)
Solution A = 2 ± √5 3
B = ± √11 5 6
+

A + B = ( √55 + 10)
Sum ( A+B ) =±(√55 + 10)
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18 Answer.

Example 9. Evalute tan-1 ½ + tan -1 1/3.
Solution A) 2 1 -
B) 3 1 -
------------------------
A+B = 5 5 1
= 1 1 √2 = 22 / 4
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7
So tan-1 ½ + tan-1 1/3 = 22 x2 / 4. Answer.
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7

VEDIC-SUTRAS

VEDIC-SUTRAS

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1.E Kadhi Kena, Purvena = By one more than the one before
2.Nikhilam NavataScaramam Dasatah. = All from 9 and the last from 10.
3.Urdhva Tiryagabhyam = Vertically and Crosswise
4.Paravatya yojayet = Transpose & apply
5.Sunyam Samyasamuccaye = If the Samuccaya is the same, It is zero.
6.Sunyam Anyat (Anurupye) = Ifone is in ratiothe other is zero
7.Sankalana Vyavakalanabhyam = By addition and Subtraction
8.Puranapuranabhyamb = By the completion or Non-Completion
9.Calana Kalanabhyam = Differential Calculus.
10.Yavadunam = By the deficiency
11.Vyastisamastih = Specific or general
12.Sesanyankena Curamena = The remainders by the last digit.
13.Sopantyadvayamantyam = The ultimate and Twice the penultimate
14.Ekanyunena purvena = Byone less than the one before
15.Gunita Samuccayah = The Product of the Sum
16.Gunaka Samuccayah = All the Multipliers.