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

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

  1. $11125$
  2. $11235$
  3. $11325$
  4. $11025$
Reveal answer Fill a bubble to check yourself
D Correct answer
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 $11025$.
Multiple choice maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

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

  1. $(95 \times 10)5$
  2. $(9 \times 9)25$
  3. $(9 \times 10)125$
  4. $(9 \times 10)25$
Reveal answer Fill a bubble to check yourself
D Correct answer
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 $   ${95 }^{ 2 } = (9\times 10)25$
Multiple choice maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

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

  1. $1,111,111$
  2. $111,111,111$
  3. $11,111,111,111$
  4. $111,111,111,111$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $RHS$
Multiple choice maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

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

  1. $2686$
  2. $5656$
  3. $6966$
  4. $2916$
Reveal answer Fill a bubble to check yourself
D Correct answer
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 $54$.

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

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

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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