Tag: history of mathematics

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Questions Related to history of mathematics

Multiple choice multiplication and division vedic methods of multiplication vedic mathematics history of mathematics maths

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. $i) Q=142, R=11, ii)Q=74, R=14, iii)Q=90, R=12$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Dhwajanka method calculations: 3987/28 gives Q=142, R=11; 5786/78 gives Q=74, R=14; 7396/82 gives Q=90, R=16.

Multiple choice multiplication and division vedic methods of multiplication vedic mathematics history of mathematics maths

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
Reveal answer Fill a bubble to check yourself
A,D Correct answer
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, 
$3 + 1 + z + 5 = 9\ OR\ 18$
$\Rightarrow z = 9 - 9 = 0$
$\Rightarrow z = 18 - 9 = 9$

Multiple choice multiplication and division vedic methods of multiplication vedic mathematics history of mathematics maths

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

  1. $5854$
  2. $5354$
  3. $5774$

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
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.