1. BRISK: DTKUO
2. CLOUD: ENQUF
3. FLAME: HMCOG
4. GRANT: HVCRV
5. HOUSE: JQWUG
This question requires us to identify a pattern among pairs of words and find the pair that does not fit the established pattern. We need to analyze the relationship between the letters in the first word and the second word of each pair by examining the shifts in their alphabetical positions.
The common approach for such problems is to check the shift in the alphabetical position of each letter. We assign numbers to letters (A=1, B=2, ..., Z=26) and calculate the difference between the corresponding letters in the given pairs to find the pattern.
Let's find the difference in positions for this pair:
| Letter 1 | Position 1 | Letter 2 | Position 2 | Shift |
|---|---|---|---|---|
| B | 2 | D | 4 | $4 - 2 = +2$ |
| R | 18 | T | 20 | $20 - 18 = +2$ |
| I | 9 | K | 11 | $11 - 9 = +2$ |
| S | 19 | U | 21 | $21 - 19 = +2$ |
| K | 11 | O | 15 | $15 - 11 = +4$ |
The pattern observed is: $+2, +2, +2, +2, +4$. Most letters are shifted by $+2$, but the last letter shows a shift of $+4$.
Let's find the difference in positions for this pair:
| Letter 1 | Position 1 | Letter 2 | Position 2 | Shift |
|---|---|---|---|---|
| C | 3 | E | 5 | $5 - 3 = +2$ |
| L | 12 | N | 14 | $14 - 12 = +2$ |
| O | 15 | Q | 17 | $17 - 15 = +2$ |
| U | 21 | U | 21 | $21 - 21 = +0$ |
| D | 4 | F | 6 | $6 - 4 = +2$ |
The pattern observed is: $+2, +2, +2, +0, +2$. Most letters are shifted by $+2$, but the fourth letter shows a shift of $+0$.
Let's find the difference in positions for this pair:
| Letter 1 | Position 1 | Letter 2 | Position 2 | Shift |
|---|---|---|---|---|
| F | 6 | H | 8 | $8 - 6 = +2$ |
| L | 12 | M | 13 | $13 - 12 = +1$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| M | 13 | O | 15 | $15 - 13 = +2$ |
| E | 5 | G | 7 | $7 - 5 = +2$ |
The pattern observed is: $+2, +1, +2, +2, +2$. Most letters are shifted by $+2$, but the second letter shows a shift of $+1$.
Let's find the difference in positions for this pair:
| Letter 1 | Position 1 | Letter 2 | Position 2 | Shift |
|---|---|---|---|---|
| G | 7 | H | 8 | $8 - 7 = +1$ |
| R | 18 | V | 22 | $22 - 18 = +4$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| N | 14 | R | 18 | $18 - 14 = +4$ |
| T | 20 | V | 22 | $22 - 20 = +2$ |
The pattern observed is: $+1, +4, +2, +4, +2$. This pattern significantly deviates from a consistent shift, involving multiple different shifts ($+1, +4$) and not predominantly following the $+2$ rule.
Let's find the difference in positions for this pair:
| Letter 1 | Position 1 | Letter 2 | Position 2 | Shift |
|---|---|---|---|---|
| H | 8 | J | 10 | $10 - 8 = +2$ |
| O | 15 | Q | 17 | $17 - 15 = +2$ |
| U | 21 | W | 23 | $23 - 21 = +2$ |
| S | 19 | U | 21 | $21 - 19 = +2$ |
| E | 5 | G | 7 | $7 - 5 = +2$ |
The pattern observed is: $+2, +2, +2, +2, +2$. This pair follows a consistent $+2$ shift for all its letters.
The question asks us to find the one pair that does not belong to the group, meaning four pairs share a common characteristic. Analyzing the patterns:
Based on this analysis, GRANT: HVCRV is the pair that does not conform to the pattern established by the other four pairs and is therefore the odd one out.
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