In the following question, a matrix of letters is given. These letters follow a particular alphabetical pattern row wise or column wise. Study the pattern carefully and choose the missing character accordingly. The rows are: B G N; D J R; G N ?. Which letter should replace the question mark ?

Introduction / Context:
This is a letter based missing character puzzle, where each row contains three letters that follow a pattern. We must determine the missing letter in the third row by discovering the alphabetical rule that connects the letters in each row. Such questions measure familiarity with alphabet positions and recognition of regular jumps in letter sequences.

Given Data / Assumptions:

• The matrix has three rows: (B, G, N), (D, J, R), and (G, N, ?).
• Letters follow a pattern, most likely involving fixed steps in the alphabet.
• B is the 2nd letter, D is 4th, G is 7th, J is 10th, N is 14th, and R is 18th in the English alphabet.
• We need to find the letter represented by the question mark in the third row.

Concept / Approach:
A common pattern in such matrices is that the letters in each row increase by a fixed number of positions in the alphabet from left to right, and this increment itself might follow a pattern from row to row. So we convert letters into their numeric positions, examine the differences between consecutive letters in the same row, and check if these differences form a simple increasing sequence down the rows.

Step-by-Step Solution:
Step 1: Consider the first row: B, G, N. In numeric positions, B is 2, G is 7, and N is 14. Step 2: Compute the differences: from 2 to 7 is +5, and from 7 to 14 is +7. Step 3: Now examine the second row: D, J, R. In numeric positions, D is 4, J is 10, and R is 18. Step 4: Compute the differences: from 4 to 10 is +6, and from 10 to 18 is +8. Step 5: Observe the pattern. The first jump in row 1 is +5, and in row 2 it is +6. The second jump in row 1 is +7, and in row 2 it is +8. This shows that as we go from row 1 to row 2, both jumps increase by 1. So in row 3, the first jump should be +7 and the second jump should be +9, continuing this pattern. Step 6: In the third row, the first two letters are G and N. G is 7 and N is 14. From 7 to 14 is +7, which matches the expected first jump for row 3. Step 7: The second jump in row 3 should therefore be +9. So the missing letter numeric position should be 14 + 9 = 23. Step 8: The 23rd letter of the alphabet is W. Therefore, the missing letter is W.

Verification / Alternative check:
We can summarise the pattern: row 1 jumps are +5, +7; row 2 jumps are +6, +8; row 3 jumps are +7, +9. Thus, each row increases both jumps by 1 compared with the previous row. Checking with the filled third row G, N, W: positions 7, 14, 23 have differences 7 and 9, fitting perfectly with the expected pattern.

Why Other Options Are Wrong:
If we try U, V, or X, the second jump from N would be 7, 8, or 10 respectively, which would break the smooth sequence of +7 and +9 in the third row. Only W gives the correct increment of +9 from N, matching the established pattern across all rows.

Common Pitfalls:
A typical mistake is to treat each row as independent without comparing the size of the jumps between rows, or to check only one difference in each row instead of both. Another error is to count alphabet positions incorrectly or ignore the possibility of increasing jump sizes between rows. Careful counting and looking for simple arithmetic progressions of differences usually leads to the correct solution.

Final Answer:
The missing letter in the matrix is W.