Question

Find the square of the number 95 using Vedic Mathematics.
(a) 9025
(b) 9125
(c) 8025
(d) 8125

Answer 1

Hint: For solving this question we will use Vedic Mathematics method for finding the squares of the numbers ending with 5. First, we will understand the concept and then apply it to get the correct answer quickly.

Complete step by step answer:
Given:
We have to find the square of the number 95 using Vedic Mathematics.
Now, before we proceed we should know what the method is to find the squares of the number ending with 5 in Vedic Mathematics. We can understand the method with the help of one example. Suppose we have to find out the square of 85. Then, follow the following steps:
1. Multiply 5 by 5 and put 25 on the right-hand side.
2. Add one to the left digit i.e., $8+1=9$ .
3. Multiply 9 by 8 to get 72 and write it on the left-hand side.
4. Our answer is 7225.
Now, for better understanding, we take one more example. Suppose we have to find the square of 105. Then, follow the following steps:
1. Multiply 5 by 5 and put 25 on the right-hand side.
2. Add one to the left digit i.e., $10+1=11$ .
3. Multiply 11 by 10 to get 110 and write it on the left-hand side.
4. Our answer is 11025.
Now, we can find the square of 95 by the following steps:
1. Multiply 5 by 5 and put 25 on the right-hand side.
2. Add one to the left digit i.e., $9+1=10$ .
3. Multiply 10 by 9 to get 90 and write it on the left-hand side.
4. Our answer is 9025.
Thus, the square of 95 will be 9025.
Hence, (a) is the correct option.

Note: Here, the student should know the method of finding squares of numbers ending with 5 and should apply it accurately stepwise to get the answer correct. Moreover, students should practice more such examples to learn the method.