Select the option that is related to the third term in the same way as the second term is related to the first term. METHOD : OIZPYP :: NORMAL : ?
PSXUKX
This question asks us to identify the relationship between the first pair of terms, METHOD and OIZPYP, and then apply that same relationship to the third term, NORMAL, to find the fourth term.
Let's analyze the pattern between the letters of METHOD and OIZPYP. We can look at the position of each letter in the alphabet and see how it changes.
| METHOD | OIZPYP | Change in Position |
|---|---|---|
| M (13) | O (15) | $+2$ |
| E (5) | I (9) | $+4$ |
| T (20) | Z (26) | $+6$ |
| H (8) | P (16) | $+8$ |
| O (15) | Y (25) | $+10$ |
| D (4) | P (16) | $+12$ |
The pattern observed is that the position of each letter in the first word is increased by a progressively larger even number (2, 4, 6, 8, 10, 12) to get the corresponding letter in the second word.
We can represent this pattern mathematically using alphabetical positions (A=1, B=2, ... Z=26):
Now, let's apply this exact pattern to the letters in the word NORMAL.
| NORMAL | Position | Change | New Position | New Letter |
|---|---|---|---|---|
| N | 14 | $+2$ | $14 + 2 = 16$ | P |
| O | 15 | $+4$ | $15 + 4 = 19$ | S |
| R | 18 | $+6$ | $18 + 6 = 24$ | X |
| M | 13 | $+8$ | $13 + 8 = 21$ | U |
| A | 1 | $+10$ | $1 + 10 = 11$ | K |
| L | 12 | $+12$ | $12 + 12 = 24$ | X |
Following the pattern, the letters corresponding to NORMAL are P, S, X, U, K, X.
Combining these letters gives us the term PSXUKX.
Let's compare our derived term with the given options:
Our derived term PSXUKX matches option 1.
The relationship between METHOD and OIZPYP is based on adding progressively increasing even numbers (2, 4, 6, 8, 10, 12) to the alphabetical position of each letter. Applying this same pattern to NORMAL gives us PSXUKX.
| Concept | Description | Relevance to Problem |
|---|---|---|
| Letter Analogy | Finding a relationship between two words based on letter changes. | The core problem type. |
| Alphabetical Position | Assigning a number (1-26) to each letter of the alphabet. | Used to quantify the change between letters. |
| Pattern Recognition | Identifying a repeating or logical sequence (like $+2, +4, +6, ...$). | Crucial for solving the analogy rule. |
Analogies and pattern-based questions are common in reasoning sections of various exams. They test your ability to identify relationships and apply them consistently. Here are some tips for solving such questions:
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