Multiply 98, 97, 99 by Nikhilam formula of vedic maths.

• A. 941194
• B. 941094
• C. 941294
• D. None of these

The Nikhilam Sutra from Vedic Mathematics is a useful technique for multiplying numbers that are close to a base, typically powers of ten. In this case, we will multiply 98, 97, and 99 using this method.

Step-by-Step Calculation

Identify the Base

Here, the nearest base is 100.

Calculate the Deviations

• 98 is 2 less than 100 (deviation = -2)
• 97 is 3 less than 100 (deviation = -3)
• 99 is 1 less than 100 (deviation = -1)

Find the Complement

Now, we will find the complements of these deviations:

• Complement of -2 is 2
• Complement of -3 is 3
• Complement of -1 is 1

Multiply the Complements

Next, multiply the complements:

2 × 3 × 1 = 6

Calculate the Final Result

Now, subtract the sum of the deviations from the base and append the product of the complements:

• Sum of deviations: -2 + -3 + -1 = -6
• Base - Sum of deviations: 100 - 6 = 94
• Final result: 9400 + 6 = 94106

Final Answer

The correct answer is not listed among the options provided. Therefore, the answer is D. None of these.