Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster. OESTD : UAVXI :: UISRY : ?
AEVVD
This question asks us to find the relationship between two letter clusters and then apply the same relationship to a third letter cluster to find the fourth one. The given analogy is OESTD : UAVXI :: UISRY : ?
We need to decipher the pattern that transforms OESTD into UAVXI and then apply that pattern to UISRY.
Let's look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).
| Original Letter | Position | Transformed Letter | Position | Difference (Transformed - Original) |
|---|---|---|---|---|
| O | 15 | U | 21 | 21 - 15 = +6 |
| E | 5 | A | 1 | 1 - 5 = -4 |
| S | 19 | V | 22 | 22 - 19 = +3 |
| T | 20 | X | 24 | 24 - 20 = +4 |
| D | 4 | I | 9 | 9 - 4 = +5 |
By examining the differences in letter positions, we observe a pattern of changes: +6, -4, +3, +4, +5.
Now, let's apply the identified pattern (+6, -4, +3, +4, +5) to the letter cluster UISRY. We will take each letter of UISRY, find its position, apply the corresponding shift from the pattern, and find the new letter.
| Original Letter (UISRY) | Position | Pattern Shift | New Position | Transformed Letter |
|---|---|---|---|---|
| U | 21 | +6 | 21 + 6 = 27 (Equivalent to 27 - 26 = 1, which is A) | A |
| I | 9 | -4 | 9 - 4 = 5 | E |
| S | 19 | +3 | 19 + 3 = 22 | V |
| R | 18 | +4 | 18 + 4 = 22 | V |
| Y | 25 | +5 | 25 + 5 = 30 (Equivalent to 30 - 26 = 4, which is D) | D |
Applying the pattern results in the letter cluster AEVVD.
Now let's compare our resulting letter cluster, AEVVD, with the given options:
Our calculated letter cluster, AEVVD, matches Option 2.
The relationship between OESTD and UAVXI follows a specific pattern of shifts in letter positions: +6, -4, +3, +4, +5. Applying this same pattern to UISRY yields AEVVD, which is one of the provided options.
| Concept | Description |
|---|---|
| Letter Position | Assigning a numerical value to each letter based on its order in the alphabet (A=1, B=2, ...). |
| Pattern Identification | Finding the rule or sequence of changes (e.g., addition, subtraction, skipping letters) between the first pair. |
| Applying the Pattern | Using the identified rule to transform the third element into the fourth element. |
| Wrapping Around | When adding or subtracting causes the position to go beyond 1 (A) or 26 (Z), wrapping around the alphabet. For example, Z + 1 = A, A - 1 = Z. |
Letter analogies are common in verbal reasoning and aptitude tests. They require you to carefully observe the relationship between letters or groups of letters. Here are some common types of relationships to look for:
Systematically checking these possible patterns helps in solving letter cluster analogy problems effectively during exams.
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