Question:

Find out the missing letter/number in place of the question mark in the figure below
\begin{center} \includegraphics[width=0.4\textwidth]{05.jpeg} \end{center}

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In letter–number puzzles, first map letters to numbers \((A=1,\ldots,Z=26)\) and test simple operations like differences/sums on the completed parts to uncover the rule.
Updated On: Sep 3, 2025
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The Correct Option is C

Solution and Explanation

Step 1: Convert letters to their alphabetical positions.
Use \(A=1, B=2, \ldots, Z=26\).
From the figure (reading each small square): Top–left uses \(T\) and \(W\) \(\Rightarrow (20,23)\); the center shown is \(3\).
Top–right uses \(S\) and \(D\) \(\Rightarrow (19,4)\); the center shown is \(15\).
Bottom–left uses \(J\) and \(T\) \(\Rightarrow (10,20)\); the center shown is \(10\).
Bottom–right uses \(P\) and \(G\) \(\Rightarrow (16,7)\); the center is unknown. Step 2: Detect the rule from the three completed mini-squares.
\(\lvert 23-20\rvert = 3\) (matches center \(3\));
\(\lvert 19-4\rvert = 15\) (matches center \(15\));
\(\lvert 20-10\rvert = 10\) (matches center \(10\)).
Rule: Center number \(=\lvert\text{right/upper letter value} - \text{left/lower letter value}\rvert\). Step 3: Apply the rule to the missing one.
Bottom–right uses \(P(16)\) and \(G(7)\).
\(\Rightarrow\) Missing center \(=\lvert 16-7\rvert = \boxed{9}\).
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