Tag: square and square roots using vedic mathematics

Questions Related to square and square roots using vedic mathematics

Find the square of $925$ using Vedic Mathematics.

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

  1. $845625$

  2. $855225$

  3. $855625$

  4. None of these

Show answer
Correct Option: C
Explanation:

Next number of 92 is 93
Square of 925 = (92 × 93)25 = 855625

Square of 659 by Sutra Ekadhikena Purvena is?

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

  1. 21456

  2. 434281

  3. 412356

  4. 52789

Show answer
Correct Option: B
Explanation:

(659)2
= (659 + 1) (659 – 1) + 12
= 660 × 658 + 1
= 434280 + 1
= 434281

Identify the correct representation in the square of $925$ using Vedic Mathematics.

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

  1. $(95\times 95)\ | \ 125$

  2. $(95\times 9)\ |\ 625$

  3. $(95\times 96)\ | \ 125$

  4. None of these

Show answer
Correct Option: B
Explanation:

Next number of 92 is 93
Square of 925 = (92 × 93)25 = 855625 = (95×9)|625

Square of 89 by Sutra Ekadhikena Purvena is?

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

  1. 4288

  2. 2166

  3. 7921

  4. 3356

Show answer
Correct Option: C
Explanation:

(89)2
= (89 + 1) (89 – 1) + 12
= 90× 88 + 1
= 7920 + 1
= 7921

Square of 38 by  Upsutra Yavadunam Tavadunam Vargecha Yojayet is?

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

  1. 7854

  2. 1444

  3. 5634

  4. 8764

Show answer
Correct Option: B

Find 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. $9025$

  2. $9125$

  3. $8025$

  4. $8125$

Show answer
Correct Option: A
Explanation:
To find $(95)^{2}$
$100$ is the nearest power of $10$ which can be taken out as base.
Deviation is obtained by $95-100=-5$
Left side of the number is $95-5=90$
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 $9025$.

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.