If 9*3 = 8127, 8*2 = 6408, then 10*5 = ?

Correct option is A

Solution: Logic Behind Custom Operation (*)

Problem: If 9 * 3 = 8127 and 8 * 2 = 6408, find the result of 10 * 5.

Solution

Step 1: Analyze the Given Examples

1. For 9 * 3 = 8127:
- Split the result as 81 and 27.
- 81 = $$9^2$$​ (square of the first number).
- 27 = $$3^3$$​ (cube of the second number).

2. For 8 * 2 = 6408:
- Split the result as 64 and 08.
- 64 = $$8^2$$​ (square of the first number).
- 08 = $$2^3$$​ (cube of the second number, written as 08 for two digits).

Step 2: Identify the General Rule

For A * B, the result is obtained by concatenating:
- The square of the first number ($$A^2$$​).
- The cube of the second number ($$B^3$$​).

Step 3: Apply the Rule to 10 * 5

1. Square of 10 = 100.
2. Cube of 5 = 125.
3. Concatenate the results: 100125.

Final Answer

The result of 10 * 5 is 100125.