Question:

Find out the missing letter/number in place of the question mark in the figure below 

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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: Dec 11, 2025
  • 11
  • 5
  • 9
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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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