Vishal Bhatia

Solve the following question in less than a minute

Which of the following is the result of multiplying   45,678 x 56,789 ?

1. 2,59,40,07,942
2. 2,59,40,06,942
3. 2,59,40,05,942
4. 2,59,40,04,942
5. 2,59,40,03,942

The Answer is Choice #  a or 2,59,40,07,942

Short Cut Vedic Maths Logic for the answer

In Vedic Maths and the Hindu Decimal System of Numbers, there is a concept called Single Digit Number for all numbers which are double digits and bigger.

So the Single Digit for say 1,234 = 1 + 2 + 3 + 4 = 10 = 1+ 0  =  1

Hence, the number 1,234 eventually reduces to 1

Now whenever we multiply 2 numbers the answer’s single digit will be equal to the single digit of the product of the 2 numbers.

Let’s say we are multiplying 11 x 12 = 132

Single Digits of 11 and 12 are 1+1 = 2   and that of 12 is 1+2 = 3

Since we multiplied 11 x 12, we also multiply the single digits of 11 and 12, namely 2 and 3 and we get 6

Now the single digit of 132 = 1+3+2 = 6

You will notice that the single digits match up – which is 6

The above mentioned question is also solved likewise – in fact instead of the multiplying those humongous 5 digit numbers we simply need to simple addition.

Note that the number 9 need not be added and any combinations of 9s can also be dropped = say 4+5 = 9 = just drop them.

So the Single Digit of 45678

4 + 5 + 6 + 7 + 8 =        13+8 = 21  =  2+1 = 3   (notice I left out adding 4 + 5 = 9)

Similarly the single digit of 56789

5 + 6 + 7 + 8 +9   =       26 = 2+ 6 = 8       (notice I left out adding 9)

Now 3 x 8 =  24 and single digit of 2 + 4 = 6

We now need to find out the single digits of the 5 answer choices.

In fact, choice a yields the number 6 and hence we need not check the other 4 choices.

Single Digit

1. 2,59,40,07,942 6
2. 2,59,40,06,942 5
3. 2,59,40,05,942 4
4. 2,59,40,04,942 3
5. 2,59,40,03,942 2

NEVER ADD up a 9 or any combination of numbers such as 4+5 or say 6+3.