Difficulty: Medium
Correct Answer: PENDICU
Explanation:
Introduction / Context:Many alphabet/pattern problems progressively trim characters from a word’s ends, revealing nested inner substrings. Here the word evolves: “PERPENDICULAR” → “ERPENDICULA” → “RPENDICUL” → ? We must infer the consistent trimming rule and predict the next term.
Given Data / Assumptions:
Concept / Approach:The visible rule is: at each step, drop the first and the last character, yielding the inner substring. Applying this once more to Term3 should produce the next inner string.
Step-by-Step Solution:
Start with Term3: “RPENDICUL”.Remove first and last: drop “R” and “L”.Result: “PENDICU”.Verification / Alternative check:Check lengths: 13 → 11 → 9 → 7 (consistent −2 each step). “PENDICU” has 7 characters, which fits the expected sequence length.
Why Other Options Are Wrong:
PENDICUL — length 8; would imply removing only first or only last.PENDIC / ENDIC — lengths 6/5; would imply extra trimming.ENDICU — missing the leading “P”; does not follow strict first-and-last removal.Common Pitfalls:Overlooking that each new term is derived from the previous term (not directly from the original) and that both ends are trimmed simultaneously.
Final Answer:PENDICU
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