Tag: maths

Questions Related to maths

Find the square of the number $105$ using Vedic Mathematics.

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $11125$

  2. $11235$

  3. $11325$

  4. $11025$

Show answer
Correct Option: D
Explanation:
To find $(105)^{2}$
$100$ is the nearest power of $10$ which can be taken out as base.
Deviation is obtained by $105-100=5$
Left side of the number is $105+5=110$
Since, the base is $100$, the right hand side number will have two digits and that can be obtained by taking square of deviation $5$. So, $(5)^{2}=25$.
Thus, the right side number will be $25$.
Hence, the required number is $11025$.

Identify the correct representation of the square of the number $95$ using Vedic Mathematics.

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $(95 \times 10)5$

  2. $(9 \times 9)25$

  3. $(9 \times 10)125$

  4. $(9 \times 10)25$

Show answer
Correct Option: D
Explanation:


$\underset { +5 }{ 95 }  \times \underset { +5 }{  95 } $                                                          Using base 10
                                                                       $9 = 9 \times  base$
Mutiply $5$ with $5 = 25$

Add $5$ to $95 = 100$

Multiply 9 to sum  $= 9\times 100 = 900$

 Take first 2 digits $= 90 = 9\times 10$
 
Last 2 digits $= 25$

$\therefore $   ${95 }^{ 2 } = (9\times 10)25$

When multiplied by itself, which number is equal to $12,345, 678, 987, 654, 321$?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $1,111,111$

  2. $111,111,111$

  3. $11,111,111,111$

  4. $111,111,111,111$

Show answer
Correct Option: B
Explanation:
$(1)^2=1$
$(11)^2=121$
$(111)^2=12321$
$(111, 111, 111)^2=12345678987654321$
Here we can show a pattern for each count of $1$ in $LHS$ is extended the number from $1$ to that Number and reverse that number to the $1$ in $RHS$

Square of $512$ by Ishta Sankhya method is?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $262911$

  2. $365788$

  3. $262144$

  4. $356458$

Show answer
Correct Option: C
Explanation:

Ishta number $=12$

Now finding the square
$=(512-12)(512+12)+{ (12) }^{ 2 }\ =500\times 524+144\ =262000+144\ =262144$
So option $C$ is correct.

Square of a $5$4 by Upsutra Yavadunam Tavadunam Vargecha Yojayet method is?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $2686$

  2. $5656$

  3. $6966$

  4. $2916$

Show answer
Correct Option: D
Explanation:

To find the square of $54$,


This is closer to $100$ (base of 10). Write it as $100-46$.

From this method, we can write,

$\dfrac{(54-46)}{46^2}$  i.e., $\dfrac{Number-deficiency}{deficiency^2}$

$=\dfrac{8}{2116}$

As we are using base $100$, digits in hundred's place and above is carry forwarded. Add $21$ to $8$.

ie., $(21+8)16=2916$

$2916$ is the square of $54$.

Square of 78 by Ishta Sankhya is?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. 6084

  2. 7084

  3. 2164

  4. 4524

Show answer
Correct Option: A
Explanation:

Ishta number $=8$

Now finding the square
$=(78-8)(78+8)+8^2$
$=70\times 86+64$
$6020+64$
$=6084$
So option $A$ is correct.

What will be the value of $x$ if we have to find the square of number $93$ by Upsutra Yavadunam Tavadunam Vargecha Yojayet method
$93^2$=$(93-x)|(x^2)$=$8649$

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $3$

  2. $4$

  3. $7$

  4. $10$

Show answer
Correct Option: C
Explanation:

$x=100-93=7$

$93^2=(93-7)|(7^2)=8649$

Say True or False
To find square of number by Sutra Ekadhikena Purvena method, the number should end with $5$.

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

We can find the square of the number which is ending with 5, using Ekadhikena purvena method.

To find the square of number by  Yavadunam Tavadunam Vargecha Yojayet method the number should be closer to the power of  $10$

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

The condition for using Yavadunam Tavadunam Vargecha Yojayet method- Numbers need to be close to the power of 10 (10, 100, 1000, etc).

State the following statement is True or False
We can find the square of number $43$ by Upsutra Yavadunam Tavadunam Vargecha Yojayet method

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

The condition for using Yavadunam Tavadunam Vargecha Yojayet method- Numbers need to be close to the power of 10 (10, 100, 1000, etc).