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.

Difficulty: Medium

Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.

Explanation:


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.

More Questions from Data Sufficiency

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion