GATE CE 2014 Set 1 — Question 7
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
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’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?
| Anuj | Bhola | Chandan | Dilip | Eswar | Faisal | |
|---|---|---|---|---|---|---|
| (A) | 6 | 2 | 5 | 1 | 3 | 4 |
| (B) | 2 | 6 | 5 | 1 | 3 | 4 |
| (C) | 4 | 2 | 6 | 3 | 1 | 5 |
| (D) | 2 | 4 | 6 | 1 | 3 | 5 |
Correct answer
(B) Anuj: 2, Bhola: 6, Chandan: 5, Dilip: 1, Eswar: 3, Faisal: 4
Solution
1.Faisal lives 3 floors above Dilip. Possible (Dilip, Faisal) pairs: (1, 4), (2, 5), (3, 6).
2.Dilip does not live on floor 2. So (Dilip, Faisal) is (1, 4) or (3, 6).
3.Chandan does not live below Faisal. If (Dilip, Faisal) = (3, 6), Chandan must be on floor 6, but Faisal is already there. Thus, Dilip = 1 and Faisal = 4.
4.Anuj and Bhola live on even floors (2, 4, 6). Faisal is on 4, so Anuj and Bhola must be on 2 and 6.
5.Eswar does not live immediately above or below Bhola.
6.Check Option (B): Anuj=2, Bhola=6, Faisal=4, Dilip=1. Remaining floors are 3 and 5. Eswar=3, Chandan=5. Eswar (3) is not next to Bhola (6). Chandan (5) is not below Faisal (4). All conditions met.
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