JAMIA 2024 — Reasoning PYQ

Pattern Analysis

Let's break the series FAG, GAF, HAI, IAH, ... into three positions:

1. First Letter: F, G, H, I, ...

   The first letters are in alphabetical order. The next letter after I is J.

   $$\text{Position 1: }F\to G\to H\to I\to \mathbf{J}$$

2. Second Letter: A, A, A, A, ...

   The second letter remains constant as A.

   $$\text{Position 2: }A\to A\to A\to A\to \mathbf{A}$$

3. Third Letter: G, F, I, H, ...

   This follows a "back and forth" logic related to the first letter. Notice that the 1st and 3rd letters swap places in every second term:

   • FAG $\to$ GAF (F and G swap)

   • HAI $\to$ IAH (H and I swap)

   Alternatively, look at the third letter sequence: G, F, I, H...

   • G to F is $-1$

   • F to I is $+3$

   • I to H is $-1$

   • H to ? should be $+3$

     $$\text{Position 3: }G\stackrel{-1}{\to }F\stackrel{+3}{\to }I\stackrel{-1}{\to }H\stackrel{+3}{\to }\mathbf{K}$$

The Solution

By combining the next letters from each position:

• 1st Letter: J

• 2nd Letter: A

• 3rd Letter: K

The missing term is JAK.

Mathematical Representation

sequence logic:

Answer: The correct series to fill the blank is JAK.