Four letter-clusters have been given out of which three are alike in some manner and one is different. Select the one that is different.
GDA
This question asks us to identify the letter cluster that is different from the others based on a hidden pattern. To solve this type of problem, we need to examine the relationship between the letters within each cluster, usually by looking at their positions in the English alphabet.
Let's assign a numerical value to each letter based on its position in the alphabet (A=1, B=2, ..., Z=26).
L is the 12th letter.
J is the 10th letter.
I is the 9th letter.
Let's look at the differences between consecutive letters:
L to J: ${12 - 10 = 2}$
J to I: ${10 - 9 = 1}$
The pattern for LJI is a drop of 2 positions, then a drop of 1 position.
G is the 7th letter.
D is the 4th letter.
A is the 1st letter.
Let's look at the differences between consecutive letters:
G to D: ${7 - 4 = 3}$
D to A: ${4 - 1 = 3}$
The pattern for GDA is a drop of 3 positions, then a drop of 3 positions.
N is the 14th letter.
L is the 12th letter.
K is the 11th letter.
Let's look at the differences between consecutive letters:
N to L: ${14 - 12 = 2}$
L to K: ${12 - 11 = 1}$
The pattern for NLK is a drop of 2 positions, then a drop of 1 position.
T is the 20th letter.
R is the 18th letter.
Q is the 17th letter.
Let's look at the differences between consecutive letters:
T to R: ${20 - 18 = 2}$
R to Q: ${18 - 17 = 1}$
The pattern for TRQ is a drop of 2 positions, then a drop of 1 position.
Let's summarize the patterns we found for each letter cluster:
| Letter Cluster | Letter Positions | Pattern (Differences) |
|---|---|---|
| LJI | 12, 10, 9 | -2, -1 |
| GDA | 7, 4, 1 | -3, -3 |
| NLK | 14, 12, 11 | -2, -1 |
| TRQ | 20, 18, 17 | -2, -1 |
As we can see, the letter clusters LJI, NLK, and TRQ all follow the same pattern where the second letter is 2 positions before the first, and the third letter is 1 position before the second. The letter cluster GDA follows a different pattern, where both steps involve a drop of 3 positions.
Since GDA has a pattern (-3, -3) that is different from the pattern (-2, -1) found in the other three letter clusters (LJI, NLK, TRQ), GDA is the one that is different.
| Concept | Key Idea | Application in this Problem |
|---|---|---|
| Alphabetical Position | Assigning a number to each letter based on its order in the alphabet. | Used to convert letter clusters into numerical sequences (e.g., LJI → 12, 10, 9). |
| Pattern Recognition | Finding a consistent rule or sequence in the numbers or items. | Identified the numerical differences between consecutive letters (-2, -1) and (-3, -3). |
| Odd One Out | Selecting the item that doesn't fit the pattern shared by the others. | GDA was the cluster with the unique pattern. |
Reasoning questions, especially those involving letter patterns or series, often require you to look for relationships based on:
Always try to convert letters to numbers or look for simple relationships first when tackling letter pattern problems.
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