Question

Find the square of the number 125 using Vedic Mathematics.
A) 15625
B) 15525
C) 15325
D) None of these

Answer 1

Hint:
First, we will check if the given number ends with 5 and then we will apply the Ekadhikena Purvena for the rest of the number 5 from the given number 125. Then we will add it with 1 and multiply the obtained value with 12. Then we will take numbers together to find the square of 125 using Vedic Mathematics.

Complete step by step solution:
We are given that the number is 125.
First, check if the given number ends with 5.
Since the number is ending with 5, we will use the method of Ekadhikena Purvena of Vedic Mathematics.
Now we will find the square of 5 by multiplying it with the same number, we get
\[ \Rightarrow 5 \times 5 = 25{\text{ ......(1)}}\]
Then we will apply the Ekadhikena Purvena for the rest of the number 5 from the given number 125.
So, we have 12.
Adding 1 to the above expression, we get
\[ \Rightarrow 12 + 1 = 13\]
Multiplying the above number with 13, we get
\[ \Rightarrow 12 \times 13 = 156{\text{ ......(2)}}\]
Taking (2) with (1) together to find the square of 125 using Vedic Mathematics, we get
\[ \Rightarrow 15625\]

Therefore, the required value is 15625.

Note:
In this question, we can also verify the final answer by finding the square of the number, that is, by multiplying the number 125 with itself. We need to know about the steps to be used for the method of Ekadhikena Purvena of Vedic Mathematics. We have to check the last digits of the given number to find the correct method of the given expression. Do not write 25 with 156 together instead of 156 with 25 or else the answer will be wrong.