Difficulty: Medium
Correct Answer: QRS
Explanation:
Introduction / Context:
This analogy tests your understanding of alphabet complements and pattern recognition in letter series. The pair "EFG : VUT" suggests that each letter of EFG is converted into another letter according to a specific rule. You must identify that rule and apply it to JIH to find the correct related group of letters. Such questions are common in reasoning sections and require comfort with the positions of letters in the English alphabet.
Given Data / Assumptions:
Concept / Approach:
A well known pattern uses alphabet complements, where letters are paired so that their positions add up to 27. For example, A pairs with Z (1 + 26 = 27), B with Y, C with X and so on. E is the 5th letter and V is the 22nd, so 5 + 22 = 27. F is 6 and U is 21, giving 6 + 21 = 27. G is 7 and T is 20, giving 7 + 20 = 27. Therefore, each letter in EFG is replaced by its complement to 27, and the resulting letters are written in reverse order to form VUT.
Step-by-Step Solution:
Write the positions of E, F and G as 5, 6 and 7. Find their complements: 27 minus 5 = 22 (V), 27 minus 6 = 21 (U), 27 minus 7 = 20 (T). Observe that these letters appear together as VUT in the first pair. Now consider JIH. The positions of J, I and H are 10, 9 and 8. Find their complements: 27 minus 10 = 17 (Q), 27 minus 9 = 18 (R), 27 minus 8 = 19 (S). Arrange these complement letters as QRS to match the pattern.
Verification / Alternative check:
Check each option. SUW does not match the complement values for J, I and H. QSU and HFD also break the complement rule and do not maintain the increasing sequence that appears in QRS. Only QRS uses letters whose positions sum with 10, 9 and 8 to give 27 each time. Therefore it is the only option that exactly follows the pattern observed in the first pair.
Why Other Options Are Wrong:
Any option whose letters do not represent the complements of J, I and H must be rejected. SUW, QSU, HFD and TVX may contain valid letters, but the sums of positions will not be 27 when combined with 10, 9 and 8. Since the analogy relies on the strict complement to 27 rule, those options cannot correctly complete the pattern.
Common Pitfalls:
A common mistake is to look only for forward or backward shifts by a fixed number of positions and ignore the possibility of complement patterns. Another pitfall is to miscalculate letter positions and therefore misjudge which sums reach 27. Writing the alphabet with positions and doing the arithmetic carefully helps avoid these errors.
Final Answer:
The correct completion of the analogy is "EFG : VUT :: JIH : QRS".
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