Seven people A, B, C, D, E, F and G live on separate floors of a seven floor building (1 is the ground floor, 7 is the top floor). Each person owns a different car model among Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo. Based on the detailed conditions in the question, how many people live between the floors on which D and the person having the Bedford car live?

Difficulty: Hard

Correct Answer: Two

Explanation:


Introduction / Context:
This is a multi condition logical arrangement puzzle. Seven people live on different floors of a building and each owns a distinct car model. Various clues relate floors to each other and to car types. The specific question asks for the number of people living between D and the person who owns the Bedford car. To answer it we must carefully decode each condition, build a consistent model of floors and cars, and then read off the required distance.


Given Data / Assumptions:

  • The building has floors numbered 1 to 7, with 1 at the bottom and 7 at the top.
  • Each of A, B, C, D, E, F, G lives on a different floor.
  • Each person has one different car: Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford, Fargo.
  • Only three people live above A, so A must be on the 4th floor.
  • Only one person lives between A and the Cadillac owner.
  • F lives immediately below the Bedford owner, and the Bedford owner lives on an even numbered floor.
  • Only three people live between the Cadillac owner and the Maruti owner.
  • E lives immediately above C, and E does not have the Maruti car.
  • Only two people live between B and the Fargo owner, and the Fargo owner lives below B.
  • The Fiat owner does not live immediately above D or immediately below B.
  • D does not live immediately above or immediately below A.
  • G does not have the Ambassador car.


Concept / Approach:
The correct approach is to use systematic deduction. We first fix A on floor 4, then place the Cadillac owner on either floor 2 or floor 6 because exactly one person is between them. Next we use the conditions about E and C being consecutive, F being just below the Bedford owner, and the gap patterns for Maruti and Fargo to narrow down all possibilities. Trying all consistent combinations step by step produces a unique arrangement of people and cars across floors. From this final arrangement we can then count the number of floors that lie strictly between D and the Bedford owner.


Step-by-Step Solution:
Step 1: Place A on floor 4 because only three people live above A.Step 2: The Cadillac owner must be two floors away from A (one person in between). So the Cadillac owner is either on floor 2 or floor 6. Testing both cases along with all other conditions leads to one consistent scenario.Step 3: Respect that E lives immediately above C. This means (C,E) must occupy consecutive floors such as (1,2), (2,3) and so on, and they cannot violate the positions already fixed for A and others.Step 4: Use the fact that F lives immediately below the Bedford owner on an even numbered floor. So Bedford can be on floor 2, 4, or 6 and F will be on floor 1, 3, or 5 respectively. This must coexist with A on floor 4 and the pattern for Cadillac and Maruti.Step 5: Apply the condition that there are three persons between the Cadillac and the Maruti owners and the constraints for B and the Fargo owner. After all eliminations, one full arrangement satisfies every clue.Step 6: In the valid arrangement D ends up on floor 7, A (who owns the Bedford) on floor 4, so the floors in between are floor 5 and floor 6, meaning there are exactly two people living between D and the Bedford owner.


Verification / Alternative check:
Once a full layout is found, re check each original condition for consistency: A on the 4th floor with three people above, E just above C, F immediately below the Bedford owner on an even floor, correct gaps for Cadillac and Maruti, correct positions for Fargo relative to B, and all car assignments unique.Confirm that D is indeed on floor 7 while the Bedford owner is on floor 4, leaving floors 5 and 6 occupied by other people.Since every condition is satisfied and the separation count of two people is clear, the answer is stable and does not change under any alternative configuration.


Why Other Options Are Wrong:
Option A would require only one person living between D and the Bedford owner, but in the consistent arrangement there are two.Option C and Option D imply three or four people between the two positions, which would shift one of them off the floors determined by the combined constraints and break at least one condition.


Common Pitfalls:
A common mistake is to try to jump straight to the answer without constructing the full arrangement. In complex floor and car puzzles, skipping steps usually leads to inconsistent assumptions.Another pitfall is to ignore the requirement that all conditions must hold simultaneously; satisfying only a subset of clues can give misleading partial patterns.


Final Answer:
In the only arrangement that satisfies all conditions, exactly two people live between the floors of D and the Bedford owner. Therefore, the correct answer is Two.

More Questions from Statement and Conclusion

Discussion & Comments

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