Question

Find the missing character among the given alternatives in the matrix: 

• A. 8C
• B. 12B
• C. 16C
• D. 18C

Hint:

In matrix pattern problems, separate the analysis of numeric and alphabetic parts to identify patterns effectively.

Answer 1

The Correct Option is A

Analyze the given matrix row-wise and column-wise to find the missing term. Notice the patterns in numbers and letters separately.
1. Number pattern in each row or column:
- First row numbers: 3, 2, 4
- Second row numbers: 27, ?, 64
- Third row numbers: 9, 4, 16
Observe that the numbers in the first and third rows are squares and cubes of integers:
- 3, 9 = \(3^1, 3^2\)
- 2, 4 = \(2^1, 2^2\)
- 4, 16 = \(4^1, 4^2\)
- 27, 64 = \(3^3, 4^3\) which appear in second row. So, the missing number should correspond to \(2^3 = 8\).
2. Letter pattern:
- In first row: C, B, A
- In third row: C, A, B
- In second row: A, ?, B
From the letter pattern, the missing letter is 'C' to complete the pattern of letters cycling between A, B, and C.
Therefore, the missing element is \(8C\).