Step 1: Understanding the Question:
The grid contains elements with both a number and a letter. We must find patterns for both components. Step 2: Detailed Explanation:
Analyzing the Numbers:
- Look vertically at the columns:
- Col 1: 3, 27, 9. Note that \(3^2 = 9\) and \(3^3 = 27\).
- Col 3: 4, 64, 16. Note that \(4^2 = 16\) and \(4^3 = 64\).
- Col 2 (Middle): 2, ?, 4. Following the logic, the bottom should be \(2^2 = 4\) (which it is) and the middle should be \(2^3 = 8\).
Analyzing the Letters:
- Each row and each column contains the letters A, B, and C exactly once.
- In Row 2: We have 'A' (in 27A) and 'B' (in 64B). The missing letter must be 'C'.
Combining results: The number is 8 and the letter is C. Thus, the element is 8C.
Step 3: Final Answer:
The missing character is 8C. Option (B) is correct.
