Question

If 7 * 2 = 98 and 9 * 3 = 243, then 5 * 4 = ?

• A. 100
• B. 120
• C. 125
• D. 140

Answer 1

Answer:

A. 100

Pattern Identification

• The underlying logic involves squaring the first number and multiplying the result by the second number.
• The formula is: (a^2) * b = Result.

Step-by-Step Verification

1. First Equation: 7 * 2 = 98. Here, 7^2 = 49. Multiplying 49 by 2 gives 49 * 2 = 98.
2. Second Equation: 9 * 3 = 243. Here, 9^2 = 81. Multiplying 81 by 3 gives 81 * 3 = 243.

Applying to the Question

• Using the derived formula (a^2 * b) for 5 * 4:
• Square the first number: 5^2 = 25.
• Multiply by the second number: 25 * 4 = 100.
• Therefore, 5 * 4 = 100.