Difficulty: Medium
Correct Answer: IHF
Explanation:
Introduction / Context:
This letter analogy uses a fixed backward shift in the alphabet. The group WVT is related to SRP, and you must identify which option continues the same pattern when applied to MLJ. These kinds of questions examine your ability to work systematically with alphabet positions and consistent shifts across all letters in a group.
Given Data / Assumptions:
Concept / Approach:
We first convert letters in WVT and SRP to numbers and compute the difference for each pair. If the shift is constant for all three letters, that shift is our coding rule. Then we apply the same shift to MLJ to find its partner. Because both groups are made of three letters, this is a direct one to one mapping situation that is ideal for constant shift analysis.
Step-by-Step Solution:
Step 1: Write positions of WVT. W is 23, V is 22, and T is 20.
Step 2: Write positions of SRP. S is 19, R is 18, and P is 16.
Step 3: Compute the shifts. From W(23) to S(19) is minus 4. From V(22) to R(18) is minus 4. From T(20) to P(16) is minus 4.
Step 4: Conclude that the rule is to subtract 4 from the position of each letter.
Step 5: Now apply this rule to MLJ. M is 13, L is 12, and J is 10.
Step 6: Subtract 4. From M(13) we get 9, which is I. From L(12) we get 8, which is H. From J(10) we get 6, which is F.
Step 7: Combine the new letters to obtain IHF and match it with option c.
Verification / Alternative check:
To verify the pattern, we can reverse the transformation from IHF back to MLJ by adding 4 to each letter. I(9) plus 4 is 13 (M), H(8) plus 4 is 12 (L), and F(6) plus 4 is 10 (J). This confirms that the mapping is perfectly reversible and consistent. No other option, when each letter is increased by 4, returns MLJ, so they fail to satisfy the same rule that connects WVT with SRP.
Why Other Options Are Wrong:
KHG, IHG, and HEF would require different shifts for different letters if we tried to map them back to MLJ, so the transformation would not be uniform. For example, to get from K to M requires +2, but from H to L requires +4, which is inconsistent. Since the base pair shows a clear and constant minus 4 shift for all letters, any option that does not follow this pattern cannot be correct.
Common Pitfalls:
Some students guess based on visual similarity, such as choosing a group that looks close to MLJ, without checking the exact alphabetic distances. Others might mistakenly apply a variable shift, assuming that the differences can change. Remember that in these uniform letter set analogies, the most common rule is a constant shift that should be checked carefully for each position.
Final Answer:
Using the same minus four alphabet shift that converts WVT to SRP, the group MLJ is converted to IHF.
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