Tag: history of mathematics

Questions Related to history of mathematics

Perform $12\div 9$ using Nikhilam Sutra Method on base $10$. Also, find the quotient$(Q)$ and remainder$(R)$.

  1. $Q=1$ and $R=3$

  2. $Q=1$ and $R=2$

  3. $Q=1$ and $R=0$

  4. $Q=1$ and $R=1$


Correct Option: A

Find the cube of $96$ by Nikhilam formula of Vedic Mathematics.

  1. $877736$

  2. $884736$

  3. $844736$

  4. None of these


Correct Option: B

$21,35,680$ voters are to be equally distributed among $235$ polling booths. How many voters will be there in each polling booth?

  1. $9080$

  2. $9800$

  3. $9088$

  4. $8800$


Correct Option: C
Explanation:

Total number of voters $= 21,35,680$
Number of polling booth $= 235$
So, number of voters at each polling booth $= 21,35,680 \div 235 = 9088$.

Dividing using 'Dhwajanka' Sutra.
(i) $3987\div 28$
(ii) $5786 \div 78$
(iii) $7396 \div 82$

  1. $i) Q=140, R=14, ii)Q=74, R=14, iii)Q=90, R=16$

  2. $i) Q=142, R=11, ii)Q=74, R=14, iii)Q=90, R=16$

  3. $i) Q=142, R=11, ii)Q=74, R=0, iii)Q=90, R=16$

  4. $i) Q=142, R=11, ii)Q=74, R=14, iii)Q=90, R=12$


Correct Option: B

Find the cube of $99$ by Nikhilam formula of Vedic Mathematics.

  1. $97299$

  2. $972299$

  3. $973299$

  4. None of these


Correct Option: D

Write multiplication table of $46$ by using Vinculum method and identify fourth term in the table.

  1. $184$

  2. $230$

  3. $143$

  4. $138$


Correct Option: A

If $31z5$ is a multiple of $9$, where $z$ is a digit, what is the value of $z$?

  1. 0

  2. 4

  3. 7

  4. 9


Correct Option: A,D
Explanation:

Given that $31z5$ is a multiple of $9$. 

According to the divisibility rule of $9$, the sum of all the digits should be a multiple of $9$. 
Therefore, 
$3 + 1 + z + 5 = 9\ OR\ 18$
$\Rightarrow z = 9 - 9 = 0$
$\Rightarrow z = 18 - 9 = 9$

Multiply $54, 57$ using NIkhilam formula (sub-base) of vedic mathematics.

  1. $3278$

  2. $3768$

  3. $3078$

  4. None of these


Correct Option: C

Multiply $63, 58$ using NIkhilam formula (sub-base) of vedic mathematics.

  1. $3454$

  2. $3654$

  3. $3754$

  4. None of these


Correct Option: B

Multiply $524$ by $11 $ using vedic mathematics.

  1. $5854$

  2. $5354$

  3. $5774$

  4. None of these


Correct Option: D
Explanation:
To multiply any number by 11 do the following:

Working from right to left

Write the rightmost digit of the starting number down.

Add each pair of digits and write the results down, (carrying digits where necessary right to left).

Finally write down the left most digit (adding any final carry if necessary).

For  5 2 4

5 (5+2) (2+4) 4

5764

There are no options with this.
So, option D is the correct answer.