Question

In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?

 

• A. Q, M, 12 and 8
• B. K, L, 10 and 14
• C. I, J, 10 and 8
• D. L, K, 12 and 8

Hint:

When solving letter-number reasoning grids, convert letters to their alphabet positions (A=1 to Z=26), then analyze the mathematical pattern row-wise or column-wise.

Answer 1

The Correct Option is D

Step 1: Observing the pattern of the matrix, the sum of the numbers in the first column seems to follow a consistent pattern, and the same can be applied to the other columns. Let’s investigate the patterns to find the values of (i), (ii), (iii), and (iv).

The first column values are:
\[ N = 21,\quad H = 12. \]
The sum of 21 and 12 gives us 33. Hence, (i) should be \(6\), as 33 minus 27 (the sum of the entries in the last row) gives \(6\).

The second column values are:
\[ U = 14,\quad L = \text{unknown}. \]
We find that the sum of 14 and 10 gives \(24\), so \( (ii) = 10 \).

The third column values are:
\[ F = 9,\quad O = 15. \]
The sum of 9 and 15 gives \(24\), so \( (iv) = 8 \).

Step 2: Based on the pattern above, the answer choices correspond to the following values for the blocks:
\[ (i) = 6,\quad (ii) = 10,\quad (iii) = 15,\quad (iv) = 8. \]

Thus, the correct answer is \( \boxed{B} \).