Question

Find the missing number in the table. 

• A. 14
• B. 12
• C. None of these
• D. 10

Hint:

In grid puzzles, totals often combine a \textbf{square term} with a \textbf{product term}. Try decomposing the target into recognizable chunks (e.g., \(a^2+b\times c\)) and solve for the unknown.

Answer 1

The Correct Option is A

Observation: The number \(102\) in the right block is derived from the numbers below it: \(8\) (left in the middle row), and \(6\) and \(4\) (bottom row), along with the missing value \(x\) in the middle row.
Rule (consistent):
\[\n102 \;=\; 8^2 \;+\; (6\times 4) \;+\; x\n\] \(\Rightarrow\ 102 \;=\; 64 \;+\; 24 \;+\; x \ \Rightarrow\ x=102-88=14.\)
\[\n\boxed{x=14}\n\]