Multiply 524 by 11 using vedic mathematics.
(A) 5854
(B) 5354
(C) 5774
(D) None of these

Hint: In this question we have to do the multiplication of the two numbers by using the methods of vedic mathematics. Now since one of the numbers given is 11 and in vedic mathematics there is a method of multiplication of any number with 11. According to this method of multiplication first we write down the number that we have to multiply with 11 starting from the right digit. Then make pairs of the numbers while moving from right to the left in the number. Now add each pair and write the answers, carry forward the digits when necessary from right to left and then get the answer.

Complete step-by-step answer:
Given:
The numbers given for the multiplication are –
524 and 11
Now according to the method of multiplication, starting from right to the left of the number 524, we have three digits 5, 2 and 4.
So, the pairs of these digits would be –
$
\Rightarrow 5\\
\Rightarrow \left( {5 + 2} \right)\\
\Rightarrow \left( {2 + 4} \right)\\
{\rm{and}}\\
\Rightarrow 4
$
Now, by adding the digits in the pair and writing them from left to right we get,
$
{\rm{ = 5 }}\left( {5 + 2} \right){\rm{ }}\left( {2 + 4} \right){\rm{ 4}}\\
{\rm{ = 5 7 6 4}}
$
So, the result of the multiplication can be written as-
$\Rightarrow 524 \times 11 = 5764$

So, the correct answer is “Option D”.

Note: It should be noted that the number of pairs formed by using the digits of the given number depends upon the number of digits. For example, if a given number has only two digits then the number of pairs formed would be three. If the given number is 42 then number of pairs formed for this number are given as –
$
\Rightarrow 4\\
\Rightarrow \left( {4 + 2} \right)\\
{\rm{and}}\\
\Rightarrow{\rm{2}}
$
Therefore, total number of pairs =3