Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster. CNY : GRC :: FRL : JVP :: ITK : ?
MXO
This question asks us to find the relationship between letter clusters and apply that relationship to a new cluster. We are given three pairs, where the relationship between the first two pairs should be the same, and we need to find the cluster that has the same relationship with the third given cluster.
Let's examine the position of each letter in the English alphabet and see if there's a pattern connecting CNY to GRC.
| Original Letter | Position | Related Letter | Position | Difference |
|---|---|---|---|---|
| C | 3 | G | 7 | $7 - 3 = +4$ |
| N | 14 | R | 18 | $18 - 14 = +4$ |
| Y | 25 | C | 3 (or 29 if wrapping around) | $3 - 25 = -22$ (wrapping: $26 - 25 + 3 = +4$) |
From this analysis, it appears that each letter in the first cluster is shifted forward by 4 positions in the alphabet to get the corresponding letter in the second cluster. When we shift 'Y' (25) forward by 4 positions, we wrap around the alphabet: Z (26), A (1), B (2), C (3). So, Y + 4 = C.
The pattern for the first pair is adding 4 to the alphabetical position of each letter, with wrapping around from Z to A.
Let's check if the same pattern holds for the second pair.
| Original Letter | Position | Related Letter | Position | Difference |
|---|---|---|---|---|
| F | 6 | J | 10 | $10 - 6 = +4$ |
| R | 18 | V | 22 | $22 - 18 = +4$ |
| L | 12 | P | 16 | $16 - 12 = +4$ |
The pattern holds true for the second pair as well. Each letter is shifted forward by 4 positions.
Now, we apply the same pattern of adding 4 to the alphabetical position of each letter in the cluster ITK to find the missing cluster.
| Original Letter | Position | Add 4 | New Position | Resulting Letter |
|---|---|---|---|---|
| I | 9 | $+4$ | $9 + 4 = 13$ | M (13th letter) |
| T | 20 | $+4$ | $20 + 4 = 24$ | X (24th letter) |
| K | 11 | $+4$ | $11 + 4 = 15$ | O (15th letter) |
Applying the $+4$ pattern to ITK results in the letter cluster MXO.
The resulting letter cluster is MXO. Let's compare this with the given options:
Our calculated cluster, MXO, matches Option 3.
The relationship between the letter clusters is based on adding 4 to the alphabetical position of each corresponding letter, with wrapping around from Z to A. Applying this rule to ITK yields MXO.
| Cluster 1 | > Relationship > | Cluster 2 |
|---|---|---|
| CNY | Shift each letter +4 | GRC |
| FRL | Shift each letter +4 | JVP |
| ITK | Shift each letter +4 | MXO |
Analogy questions test your ability to find relationships between things. In letter cluster analogies, the relationships are often based on:
To solve these types of problems, it is helpful to:
Practice with various types of letter series and analogy questions can help you quickly identify the underlying pattern.
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