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. LEMON ∶ MDOMQ ∶∶ AXILE ∶ ?
BWKJH
Analyzing the Letter Cluster Relationship: LEMON ∶ MDOMQ
This question asks us to identify the relationship between the first pair of letter clusters, "LEMON" and "MDOMQ", and then apply that same relationship to the second letter cluster, "AXILE", to find the missing corresponding cluster.
Identifying the Pattern between LEMON and MDOMQ
Let's examine how each letter in "LEMON" transforms into the corresponding letter in "MDOMQ". We can look at the alphabetical positions of the letters:
- L is the 12th letter, M is the 13th. The shift is \(13 - 12 = +1\).
- E is the 5th letter, D is the 4th. The shift is \(4 - 5 = -1\).
- M is the 13th letter, O is the 15th. The shift is \(15 - 13 = +2\).
- O is the 15th letter, M is the 13th. The shift is \(13 - 15 = -2\).
- N is the 14th letter, Q is the 17th. The shift is \(17 - 14 = +3\).
The pattern observed is a sequence of shifts applied to the letters based on their position:
1st letter: +1
2nd letter: -1
3rd letter: +2
4th letter: -2
5th letter: +3
So, the transformation rule is: \(+1, -1, +2, -2, +3\).
Applying the Pattern to AXILE
Now, we apply this identified pattern (\(+1, -1, +2, -2, +3\)) to the letter cluster "AXILE":
- First letter (A): Apply +1. A (1st letter) \(+ 1 \rightarrow\) B (2nd letter).
- Second letter (X): Apply -1. X (24th letter) \(- 1 \rightarrow\) W (23rd letter).
- Third letter (I): Apply +2. I (9th letter) \(+ 2 \rightarrow\) K (11th letter).
- Fourth letter (L): Apply -2. L (12th letter) \(- 2 \rightarrow\) J (10th letter).
- Fifth letter (E): Apply +3. E (5th letter) \(+ 3 \rightarrow\) H (8th letter).
Combining these results, the transformed letter cluster is "BWKJH".
Matching with Options
We compare our result "BWKJH" with the given options:
- Option 1: BWLJH
- Option 2: BVJKH
- Option 3: BVKJH
- Option 4: BWKJH
Our calculated result "BWKJH" matches Option 4.
Conclusion
The letter cluster related to "AXILE" in the same way that "MDOMQ" is related to "LEMON" is "BWKJH". This is based on the positional shift pattern of +1, -1, +2, -2, +3.
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