Tag: vedic mathematics

Questions Related to vedic mathematics

If $A, {A} _{1}, {A} _{2}, {A} _{3}$ be the area of the in-circle and ex-circles, then $\dfrac {1}{\sqrt {{A} _{1}}}+\dfrac {1}{\sqrt {{A} _{2}}}+\dfrac {1}{\sqrt {{A} _{3}}}$ is equal to

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $\dfrac {1}{\sqrt {{A}}}$

  2. $\dfrac {2}{\sqrt {{A}}}$

  3. $\dfrac {3}{\sqrt {{A}}}$

  4. $None$

Show answer
Correct Option: A
Explanation:

$A _1={\pi}{r _1}^{2}=\dfrac{{\pi}{\Delta^{2}}}{(s-a)^{2}}$

$A _2={\pi}{r _2}^{2}=\dfrac{{\pi}{\Delta^{2}}}{(s-b)^{2}}$
$A _3={\pi}{r _3}^{2}=\dfrac{{\pi}{\Delta^{2}}}{(s-c)^{2}}$
$A={\pi}{r}^{2}=\dfrac{{\pi}{\Delta^{2}}}{(s)^{2}}$
$\dfrac{1}{\sqrt{A _1}}+\dfrac{1}{\sqrt{A _2}}+\dfrac{1}{\sqrt{A _3}}=\dfrac{1}{\sqrt{\pi}}\bigg[\dfrac{s-a}{\Delta}+\dfrac{s-b}{\Delta}+\dfrac{s-c}{\Delta}\bigg]=\dfrac{1}{\sqrt{\pi}\Delta}[3{s}-(a+b+c)]=\dfrac{s}{\sqrt{\pi}\Delta}=\dfrac{1}{\sqrt{A}}$

(?)$-19657-33994=9999$

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $63650$

  2. $53760$

  3. $59640$

  4. $61560$

  5. None of these

Show answer
Correct Option: A
Explanation:

Let $x-53651=9999$
Then, $x=9999+53651=63650$

Perform the indicated operations:
$+7(-2)+(-8)+(+3)=$

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. -17

  2. -18

  3. -19

  4. -20

Show answer
Correct Option: C
Explanation:

The value of $+7(-2)+(-8)+(+3) $

$= -14-8+3 $
$= -19$

The algebraic expression for the statement: 'Product of x and a are subtracted from the product of b and y'.

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. ax - by

  2. x + a - by

  3. by - ax

  4. xa - b - y

Show answer
Correct Option: C
Explanation:

Product of x and a = xa

product of b and y = by
On subtraction: by-ax

(?)$+3699+1985-2047=31111$

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $34748$

  2. $27474$

  3. $30154$

  4. $27574$

Show answer
Correct Option: B
Explanation:

$x+3699+1985-2047=31111$
$\Rightarrow$ $x+3699+1985=31111+2047$
$\Rightarrow$ $x+5684=33158$
$\Rightarrow$ $x=33158-5684=27474$

$(4300731)-$? $=2535618$

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $1865113$

  2. $1775123$

  3. $1765113$

  4. $1675123$

  5. None of these

Show answer
Correct Option: C
Explanation:

Let $4300731-x=2535618$
Then, $x=4300731-2535618=1765113$

Subtract $347657$ by $238294$ using vinculum numbers.

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $109363$

  2. $100363$

  3. $109373$

  4. $109563$

Show answer
Correct Option: A
Explanation:

1) The first thing we do is write these numbers one on top of the other.

347657
238294

2) Now we just start subtracting vertically, and whenever our number is negative we represent it as a vinculum number.

347657
238294

3) This next subtraction is 7 – 8 = -1…so we just write this as 1 and continue on.

347657
238294
1 1 1 443

4) The ‘1‘ and ‘4‘ here are considered as two separate groups (since theres a non-vinculum number in-between them), so each is subtracted from 10. This has the effect of reducing the “previous one” by one.

109363

In $32$ Ekanyunena Purvena of the digit $2$ is?

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $13$

  2. $12$

  3. $22$

  4. $10$

Show answer
Correct Option: C

In $19$ Ekadhikena Purvena of digit $1$ is

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $120$

  2. $119$

  3. $20$

  4. $118$

Show answer
Correct Option: B

In $2710$ Ekanyunena Purvena of digit $0$ is? 

addition and subtraction vedic methods of multiplication vedic mathematics history of mathematics maths

  1. $2721$

  2. $2720$

  3. $2700$

  4. $2810$

Show answer
Correct Option: C