MJGT is related to QNKX in a certain way based on the English alphabetical order. In the same way, CZWJ is related to GDAN. To which of the following options is OLIV related, following the same logic?
This problem involves finding a pattern in letter sequences based on their position in the English alphabet. We need to determine the relationship between the first pair of words (MJGT and QNKX) and the second pair (CZWJ and GDAN) and then apply that same relationship to the word OLIV.
Decoding the Alphabetical Pattern
First, let's establish the numerical positions of the letters in the English alphabet (A=1, B=2, ..., Z=26).
Analyzing MJGT to QNKX
Let's map the letters of MJGT to their corresponding positions and compare them with QNKX:
- M is the 13th letter.
- J is the 10th letter.
- G is the 7th letter.
- T is the 20th letter.
Now, let's look at QNKX:
- Q is the 17th letter.
- N is the 14th letter.
- K is the 11th letter.
- X is the 24th letter.
Comparing the positions:
- M (13) → Q (17): The difference is $17 - 13 = 4$.
- J (10) → N (14): The difference is $14 - 10 = 4$.
- G (7) → K (11): The difference is $11 - 7 = 4$.
- T (20) → X (24): The difference is $24 - 20 = 4$.
The pattern observed is that each letter in MJGT is shifted forward by 4 positions to get the corresponding letter in QNKX.
Verifying with CZWJ to GDAN
Let's apply the same logic to the second pair, CZWJ and GDAN, to confirm the pattern. We need to consider the wrap-around effect (e.g., after Z comes A).
Positions for CZWJ:
- C is the 3rd letter.
- Z is the 26th letter.
- W is the 23rd letter.
- J is the 10th letter.
Positions for GDAN:
- G is the 7th letter.
- D is the 4th letter.
- A is the 1st letter.
- N is the 14th letter.
Applying the +4 shift:
- C (3) + 4 = 7, which is G.
- Z (26) + 4 = 30. Since there are only 26 letters, we wrap around: $30 - 26 = 4$. The 4th letter is D.
- W (23) + 4 = 27. Wrapping around: $27 - 26 = 1$. The 1st letter is A.
- J (10) + 4 = 14, which is N.
The pattern of adding 4 positions holds true for the second pair as well.
Applying the Logic to OLIV
Now, we apply the same "+4 positions" rule to the word OLIV.
Positions for OLIV:
- O is the 15th letter.
- L is the 12th letter.
- I is the 9th letter.
- V is the 22nd letter.
Applying the +4 shift:
- O (15) + 4 = 19. The 19th letter is S.
- L (12) + 4 = 16. The 16th letter is P.
- I (9) + 4 = 13. The 13th letter is M.
- V (22) + 4 = 26. The 26th letter is Z.
Combining these letters, we get SPMZ.
Conclusion
Following the established pattern of shifting each letter forward by 4 positions in the alphabet, OLIV corresponds to SPMZ.
Important Questions from Reasoning Analogy
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