Data Sufficiency — Word Pattern (“EAST”)? Is the word formed “EAST” after applying the constraints? I. There is only one letter between A and T; E is to the left of A. II. The word does not begin with T. There is only one letter between E and S; T is.

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Solve this multiple-choice question and choose the correct option.

Accepted Answer

Introduction / Context:We must verify if the four-letter word under constraints is exactly “EAST”. Given Data / Assumptions: I: one letter between A and T; E left of A. II: word does not start with T; one letter between E and S; T not adjacent to E. Concept / Approach:Each statement alone allows multiple orderings; together they generally allow a unique arrangement that matches “EAST”. Step-by-Step Solution: 1) Use II to forbid starts with T and keep a gap between E and S; forbid T near E.2) Use I to place A relative to T with a one-letter gap and ensure E is to the left of A.3) The only consistent ordering satisfying both is E-A-S-T (EAST). Verification / Alternative check:Try permutations that satisfy one statement; the other statement eliminates all but EAST. Why Other Options Are Wrong:I alone or II alone leave multiple words (not conclusive); “either alone” false; “even both not sufficient” false. Common Pitfalls:Miscounting “only one letter between …” or ignoring “not an immediate neighbour”. Final Answer:Both statements together are sufficient; neither alone is sufficient.

Data Sufficiency — Word Pattern (“EAST”)? Is the word formed “EAST” after applying the constraints? I. There is only one letter between A and T; E is to the left of A. II. The word does not begin with T. There is only one letter between E and S; T is not an immediate neighbour of E.

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