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?

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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.
Updated On: Apr 3, 2025
  • Q, M, 12 and 8
  • K, L, 10 and 14
  • I, J, 10 and 8
  • L, K, 12 and 8
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The Correct Option is D

Solution and Explanation

We analyze the logic based on letter-number patterns. Let's look at the structure row-wise: 
Top Row:
N (14), U (21), F (6), (i) = ? 

Bottom Row:
H (8), L (12), O (15), (?) = ? 

Now map letters to positions in the alphabet: \[ N = 14, \quad U = 21, \quad F = 6, \quad H = 8, \quad L = 12, \quad O = 15 \] Compare these with the numbers in the second row: \[ 21 \leftrightarrow N = 14 \Rightarrow 14 + 7 = 21 \] \[ 14 \leftrightarrow U = 21 \Rightarrow 21 - 7 = 14 \] \[ 9 \leftrightarrow F = 6 \Rightarrow 6 + 3 = 9 \] \[ 6 \leftrightarrow (i) = ? \Rightarrow \text{To balance pattern} \Rightarrow (i) = L (12) \Rightarrow 12 - 6 = 6 \quad \checkmark \] 
Now the second row: \[ H = 8, \quad 12 \Rightarrow 8 + 4 = 12 \] (iv) = 8 ✔️ \[ L = 12, \quad (ii) = ? \Rightarrow 12 + 3 = 15 \Rightarrow (ii) = K (11) ✔️ \] \[ (iii) = 12 \Rightarrow O = 15 \Rightarrow 15 - 3 = 12 ✔️ \] So the correct set is: \[ (i) = L, \quad (ii) = K, \quad (iii) = 12, \quad (iv) = 8 \] Thus, the correct option is (D).

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