Alphabet Pattern — “PERPENDICULAR, ERPENDICULA, RPENDICUL, ?”. Observe the trimming pattern and supply the next inner substring.

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:

  • Term1: PERPENDICULAR.
  • Term2: ERPENDICULA (removed the first and last letters).
  • Term3: RPENDICUL (removed first and last again from Term2).


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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