Difficulty: Easy
Correct Answer: SIKD
Explanation:
Introduction / Context:
This is a letter coding question where the letters of each word are rearranged in a fixed positional pattern. Two examples, GIVE → VIEG and OVER → EVRO, are provided. You must analyze how the positions of letters change from the original word to the coded word and then apply the same reordering to the new word DISK.
Given Data / Assumptions:
- GIVE is coded as VIEG.
- OVER is coded as EVRO.
- We need the code for DISK.
- The lengths of the words are the same and the encoding is based on rearranging letter positions, not changing letters themselves.
Concept / Approach:
When the code uses the same letters but in a different order, the pattern is usually positional. We compare the positions of letters in the original word with those in the coded word. If we can describe a consistent order like "third, second, fourth, first," and see that it holds for both examples, then we apply exactly that ordering to the new word DISK to get its code.
Step-by-Step Solution:
Step 1: Write GIVE with positions: G(1), I(2), V(3), E(4).
Step 2: The code VIEG can be written by positions as 3rd letter (V), 2nd letter (I), 4th letter (E), 1st letter (G). So the pattern is 3, 2, 4, 1.
Step 3: Check OVER. O(1), V(2), E(3), R(4). Applying the pattern 3, 2, 4, 1 gives E(3), V(2), R(4), O(1), which is EVRO, matching the given code.
Step 4: Now apply the same pattern to DISK. D(1), I(2), S(3), K(4).
Step 5: Taking letters in the order 3, 2, 4, 1 gives S(3), I(2), K(4), D(1), so the coded form is SIKD.
Verification / Alternative check:
We have confirmed that the 3, 2, 4, 1 reordering pattern works for both given pairs. No other simple rearrangement, such as reversing the word or rotating by one position, fits both examples. Since the pattern is position based and consistent, applying it to DISK must be correct. Therefore, SIKD is the only valid encoding of DISK under this system.
Why Other Options Are Wrong:
- Option SIDK would correspond to 3, 1, 2, 4 or another inconsistent order and does not match the pattern 3, 2, 4, 1.
- Option KISD rearranges the letters incorrectly and does not follow the same positional mapping used in the examples.
- Option KDSI is another arbitrary order and is not derived from the established coding rule.
Common Pitfalls:
Learners sometimes focus on letter identities rather than positions and attempt to guess at an alphabetical shift, which is not used here. Others forget to check that a pattern works for all examples, not just one. The reliable method is always to map positions and confirm the same pattern across all given coded words.
Final Answer:
Using the positional pattern 3, 2, 4, 1, the word DISK is coded as SIKD.
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