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. WEIGHTY ∶ GIEWHTY ∶∶ STROLLS ∶ ORTSLLS ∶∶ WIDGETS ∶ ?
GDIWETS
This question asks us to find the relationship between the first two letter clusters and the relationship between the third and fourth letter clusters. Once we identify this pattern, we apply it to the fifth letter cluster to find the missing one.
Let's look at the positions of the letters in the original word "WEIGHTY" and see where they end up in "GIEWHTY".
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Original Word (WEIGHTY) | W | E | I | G | H | T | Y |
| Rearranged Word (GIEWHTY) | G | I | E | W | H | T | Y |
| Original Letter Position | 4 | 3 | 2 | 1 | 5 | 6 | 7 |
From this table, we can see that the letters from positions 1, 2, 3, and 4 in "WEIGHTY" are rearranged to positions 4, 3, 2, and 1 respectively in "GIEWHTY". The letters from positions 5, 6, and 7 remain in their original positions.
The pattern for rearrangement is taking the letters from the original positions in the sequence \(\text{4}^{\text{th}}, \text{3}^{\text{rd}}, \text{2}^{\text{nd}}, \text{1}^{\text{st}}, \text{5}^{\text{th}}, \text{6}^{\text{th}}, \text{7}^{\text{th}}\).
Let's apply the same analysis to the second pair, "STROLLS" and "ORTSLLS", to confirm the pattern.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Original Word (STROLLS) | S | T | R | O | L | L | S |
| Rearranged Word (ORTSLLS) | O | R | T | S | L | L | S |
| Original Letter Position | 4 | 3 | 2 | 1 | 5 | 6 | 7 |
The pattern holds true for this pair as well. The first four letters are rearranged according to the \(\text{4}^{\text{th}}, \text{3}^{\text{rd}}, \text{2}^{\text{nd}}, \text{1}^{\text{st}}\) pattern, while the last three letters remain in their original \(\text{5}^{\text{th}}, \text{6}^{\text{th}}, \text{7}^{\text{th}}\) positions.
Now, we apply the identified pattern (positions \(\text{4}^{\text{th}}, \text{3}^{\text{rd}}, \text{2}^{\text{nd}}, \text{1}^{\text{st}}, \text{5}^{\text{th}}, \text{6}^{\text{th}}, \text{7}^{\text{th}}\) from the original word) to "WIDGETS".
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Original Word (WIDGETS) | W | I | D | G | E | T | S |
Let's rearrange the letters based on the pattern:
Combining these letters in the specified order gives us the new letter cluster: GDIWETS.
Let's check which option matches our result:
Our derived letter cluster, GDIWETS, matches option 1.
The pattern in the letter cluster analogy is a specific rearrangement of the letters in the original word based on their positions. By applying this consistent pattern, we found the related letter cluster for "WIDGETS".
Understanding different types of letter patterns is key to solving such analogy questions.
| Pattern Type | Description | Example |
|---|---|---|
| Position Swap (Fixed) | Specific letter positions swap (e.g., 1&2 swap, 3&4 swap) | ABCD $\to$ BADC |
| Block Reversal | Blocks of letters are reversed (e.g., first half reversed, second half reversed) | ABCDEF $\to$ CBAFED |
| Full Reversal | Entire word is reversed | ABCDE $\to$ EDCBA |
| Specific Position Permutation | Letters from specific positions are rearranged according to a rule (like the 4,3,2,1 pattern in this question) | WEIGHTY $\to$ GIEWHTY (4,3,2,1,5,6,7) |
| Skipping/Alternating | Letters are picked by skipping or alternating positions | ABCDEFG $\to$ ACEGBDF (1st, 3rd, 5th, 7th, 2nd, 4th, 6th) |
Letter cluster reasoning questions test your ability to identify logical patterns. Here are some tips for approaching them:
This systematic approach helps in breaking down the analogy and applying the logic correctly to the new word.
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