Question

If 8 # 2 = 64, 7 # 3 = 343, then 6 # 2 = ?

• A. 216
• B. 144
• C. 100
• D. 36

Answer 1

Answer:

D. 36

Logical Pattern Analysis

• The given problem follows a mathematical pattern involving exponents.
• The symbol # acts as an exponentiation operator where the first number is the base and the second number is the power (or exponent).

Step-by-Step Calculation:

• Logic: A # B = A^B
• Verification 1: 8 # 2 = 8^2 = 8 × 8 = 64
• Verification 2: 7 # 3 = 7^3 = 7 × 7 × 7 = 343
• Applying the logic to the final expression: 6 # 2 = 6^2 = 6 × 6 = 36

Important Exam Strategy:

• In logical reasoning questions involving symbols, test standard mathematical operations (addition, subtraction, multiplication, division) first.
• If standard operations fail, check for powers (exponents), squares, cubes, or prime number sequences.
• Often, the pattern involves a combination, such as (A + B)^2 or (A * B) - Constant; always verify the logic against all provided examples before finalizing the answer.