Difficulty: Easy
Correct Answer: XVZ
Explanation:
Introduction / Context:
This letter analogy problem asks you to identify a straightforward forward shift in alphabet positions. The relationship between FDH and LJN is shown, and you must apply the same transformation to RPT to select the correct answer from the options. Letter shift questions like this are a staple in non verbal reasoning sections and reward a systematic approach using alphabet positions.
Given Data / Assumptions:
The first pair is FDH and LJN.The second starting group is RPT.The options are XYZ, WUY, XVZ, SUV, and TVX.We assume that a fixed positive shift in alphabet positions converts FDH into LJN and that the same shift must be applied to RPT.
Concept / Approach:
As usual with letter analogies, we convert each letter into its numeric alphabet position and search for a consistent shift, either forward or backward. When moving from FDH to LJN, we will check how many steps we move forward. Once we find that the shift is constant across all letters, we will apply the same shift to each letter of RPT and see which option matches the resulting group exactly.
Step-by-Step Solution:
Step 1: Determine the positions of FDH. F = 6, D = 4, H = 8.Step 2: Determine the positions of LJN. L = 12, J = 10, N = 14.Step 3: Calculate the shift from F to L: 6 to 12 is plus 6.Step 4: Calculate the shift from D to J: 4 to 10 is plus 6.Step 5: Calculate the shift from H to N: 8 to 14 is plus 6 as well.Step 6: Thus, the mapping from FDH to LJN involves adding 6 to the position of each letter.Step 7: Now take RPT and note positions: R = 18, P = 16, T = 20. Add 6 to each: 18 + 6 = 24 (X), 16 + 6 = 22 (V), 20 + 6 = 26 (Z). The result is XVZ.
Verification / Alternative check:
We can verify by counting forward in the alphabet. From R, moving forward six steps gives S, T, U, V, W, X. From P, six steps forward give Q, R, S, T, U, V. From T, six steps forward give U, V, W, X, Y, Z. This forward counting confirms that the transformation RPT to XVZ uses a consistent plus 6 shift, exactly mirroring the example FDH to LJN. None of the other options results from this same uniform shift, so XVZ must be the correct answer.
Why Other Options Are Wrong:
Option XYZ would require R to become X, a plus 6 shift, but P to become Y is a plus 9 shift, so the pattern is not consistent.Option WUY produces different shifts for each letter and does not use a constant increment of plus 6 from R, P, and T.Option SUV comes from a smaller shift and does not move T all the way to Z by plus 6, so it fails the uniform shift test.Option TVX again mixes different step sizes and does not correspond to a fixed plus 6 movement for all three letters.
Common Pitfalls:
Some candidates rely on visual similarity of letter shapes or positions instead of calculating exact numeric shifts, which leads them to choose distractor options such as XYZ or TVX. Others may determine the correct shift for the first letter but forget to verify the pattern for the remaining letters. A consistent procedure of converting letters to numeric positions, checking the shift for every letter in the example pair, and then applying that same shift to the new group will minimise such mistakes.
Final Answer:
Therefore, applying the same plus six shift as from FDH to LJN, the correct completion of the analogy RPT : ? is XVZ.
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