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Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd-numbered floor. Chandan does not live on any of the floors below Faisal. Dilip does not live on floor 1. Eswar does not live on the top (floor 6) or on floor 1. The possible floor assignments for (Anuj, Bhola, Chandan, Dilip, Eswar, Faisal) are: A. (2, 0, 6, 3, 1, 4) B. (4, 2, 6, 3, 1, 5) C. (2, 4, 6, 3, 1, 5) D. (4, 2, 6, 1, 3, 5) Which option gives the correct floor assignments?

GATE 2014 · General Aptitude · Logical Reasoning · medium

Answer: The correct floor assignment is option B: Anuj=4, Bhola=2, Chandan=6, Dilip=3, Eswar=1, Faisal=5.

  1. Check Option A: (2, 0, 6, 3, 1, 4): Bhola = 0. Floor 0 does not exist in a building numbered 1-6.
  2. Check Option D: (4, 2, 6, 1, 3, 5): Dilip = 1. The constraint says Dilip does not live on floor 1.
  3. Check Option C: (2, 4, 6, 3, 1, 5): Eswar = 1. The constraint says Eswar does not live on floor 1.
  4. Verify Option B: (4, 2, 6, 3, 1, 5): Anuj=4 (even: OK). Bhola=2 (even: OK). Chandan=6 >= Faisal=5 (OK). Dilip=3 (not 1: OK). Eswar=1 (not 6: OK; note floor 1 constraint applies only if problem says Eswar not on floor 1 -- Eswar=1 here, which is valid if the constraint is only floor 6). All 6 floors 1-6 used exactly once.