Question

If 3 # 2 = 13, 4 # 3 = 25, then 5 # 4 = ?

• A. 39
• B. 41
• C. 43
• D. 45

Answer 1

Answer:

B. 41

Pattern Analysis

• The operation a # b follows a specific algebraic pattern based on the squares of the given numbers.
• Observe the relationship in the provided examples:
• For 3 # 2 = 13: 3² + 2² = 9 + 4 = 13.
• For 4 # 3 = 25: 4² + 3² = 16 + 9 = 25.

Applying the Logic

• The pattern is established as a # b = a² + b².
• Applying this to the final expression 5 # 4:
• 5² + 4² = 25 + 16 = 41.