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. QIN : XPU :: DSY : KZF :: ALM : ?
HST
Understanding Letter Cluster Analogies
This question asks us to find the relationship between pairs of letter clusters and apply that same relationship to a new cluster to find its corresponding partner. We are given three pairs: the first two are complete, and the third has a missing second element.
- QIN : XPU
- DSY : KZF
- ALM : ?
We need to analyze the relationship between the letters in the first pair (QIN and XPU) and the second pair (DSY and KZF) to identify a consistent pattern. Then, we will apply this pattern to the letters in ALM to find the missing letter cluster.
Analyzing the Pattern: QIN to XPU
Let's look at the position of each letter in the English alphabet:
| Cluster 1 (QIN) | Position | Cluster 2 (XPU) | Position | Difference |
|---|---|---|---|---|
| Q | 17 | X | 24 | $24 - 17 = +7$ |
| I | 9 | P | 16 | $16 - 9 = +7$ |
| N | 14 | U | 21 | $21 - 14 = +7$ |
It appears that each letter in the first cluster (QIN) is shifted forward by 7 positions in the alphabet to get the corresponding letter in the second cluster (XPU).
Verifying the Pattern: DSY to KZF
Let's check if the same pattern holds for the second pair (DSY and KZF):
| Cluster 3 (DSY) | Position | Cluster 4 (KZF) | Position | Difference |
|---|---|---|---|---|
| D | 4 | K | 11 | $11 - 4 = +7$ |
| S | 19 | Z | 26 | $26 - 19 = +7$ |
| Y | 25 | F | 6 | $+7$ (from Y to F, wrapping around: Y->Z->A->B->C->D->E->F) |
The pattern holds true. Each letter is shifted forward by 7 positions, with the alphabet wrapping around from Z back to A.
Applying the Pattern: ALM to ?
Now, we apply the same +7 shift rule to the letters in the cluster ALM:
| Cluster 5 (ALM) | Position | Shift (+7) | New Position | New Letter |
|---|---|---|---|---|
| A | 1 | $+7$ | $1 + 7 = 8$ | H |
| L | 12 | $+7$ | $12 + 7 = 19$ | S |
| M | 13 | $+7$ | $13 + 7 = 20$ | T |
Applying the +7 shift to ALM gives us the letters H, S, and T. Therefore, the missing letter cluster is HST.
Conclusion
The consistent pattern observed is a forward shift of 7 positions for each letter in the cluster. Applying this shift to ALM results in the cluster HST. This matches one of the given options.
Revision Table: Key Learnings
| Concept | Description | Application Here |
|---|---|---|
| Letter Cluster Analogy | Finding a relationship between letter groups. | Comparing QIN:XPU and DSY:KZF. |
| Alphabetical Position | Using the sequence of letters (A=1, B=2, etc.). | Identifying the numerical value of each letter. |
| Consistent Pattern | The rule connecting the pairs must be the same. | The +7 shift rule applied to both known pairs. |
| Wrap-around Shift | When shifting past Z, continue from A. | Seen in the Y to F shift. |
Additional Information: Reasoning Patterns
Letter cluster reasoning questions often involve various patterns. Recognizing these common patterns can help solve problems faster. Some typical patterns include:
- Positional Shifts: Adding or subtracting a fixed number from the letter's position (like the +7 in this question).
- Skipping Letters: Skipping a fixed number of letters between corresponding letters in the pairs.
- Reverse Order: Letters in the second cluster might be the reverse order of the letters in the first cluster, with or without shifts.
- Vowel/Consonant Patterns: Relationships based on whether letters are vowels or consonants.
- Specific Letter Operations: Relationships involving only the first, middle, or last letter.
Practicing different types of letter series and analogy questions improves your ability to quickly spot the underlying rule.
Important Questions from Letter Based
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.
PDK : QFN :: SJQ : ?
Select the option that is related to the third term in the same way as the second term is related to the first term.
FASTER : AEFRST :: KINGDOM : ?
Select the option that is related to the third term in the same way as the second term is related to the first term.
PRACTISE : ACEIPRST :: TECHNOLOGY : ?
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.
RJB : TGF :: QPG : ?
Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Ant ∶ Antling ∶ ∶ Deer ∶ ?
