The plan of an office block for six officers A, B, C, D, E and F is as follows: Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side.
Question: Who is/are F’s immediate neighbour/ neighbours?
Correct Answer :
A only
Solution :
The correct option is A only.
Let us reconstruct the office layout step-by-step to understand why A is the only immediate neighbour of F.
First, let us establish the structure of the office block. There are six offices arranged along a central corridor, which means there are three offices on the left side and three offices on the right side of the corridor as one enters the block. Let us denote the positions on each side from the entrance to the end of the corridor as:
Left side: Left-Entrance (Corner), Left-Middle, Left-End (Corner)
Right side: Right-Entrance (Corner), Right-Middle, Right-End (Corner)
From the given clues, we can place the officers as follows:
1. "Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor."
This tells us:
Left side has: A, and two other offices.
Right side has: B, C, and one other office.
2. "The offices of C and D face each other."
Since C is on the right side, its facing counterpart D must be on the left side.
So, Left side has: A, D.
Right side has: B, C.
3. "E and F occupy offices on opposite sides of the corridor but their offices do not face each other."
Since we have four people (A, B, C, D) distributed as A, D on the left and B, C on the right, the remaining two officers E and F must fill the remaining two spots (one on the left, one on the right).
This means one side has (A, D, E/F) and the other has (B, C, F/E).
4. "F’s office is further down the corridor than A’s, but on the same side."
This tells us that F is on the left side of the corridor (the same side as A). Since F is on the left side, E must be on the right side (opposite sides).
Therefore:
Left side consists of: A, D, and F.
Right side consists of: B, C, and E.
5. "F’s office is further down the corridor than A’s."
This implies A cannot be at the very end of the corridor. Since F is further down, A must be closer to the entrance than F. Let's look at the remaining clues to fix their exact positions.
6. "E does not have a corner office."
Since E is on the right side and there are three offices on the right side, the corner offices are at the entrance and the end. If E does not have a corner office, E must occupy the middle office on the right side.
Right-Middle: E
This leaves Right-Entrance and Right-End for B and C.
7. "E and F occupy offices on opposite sides of the corridor but their offices do not face each other."
Since E is in the Right-Middle office, F cannot be in the Left-Middle office (because they do not face each other).
Thus, F must be in either Left-Entrance or Left-End.
However, we know that "F’s office is further down the corridor than A’s". This means F must be placed after A, so F cannot be at the entrance.
Therefore, F must occupy the office at the far end of the corridor on the left side:
Left-End: F
Left-Entrance / Left-Middle: A and D (in some order).
8. "The offices of C and D face each other."
Since E is in the Right-Middle, the offices facing each other are:
- Left-Entrance faces Right-Entrance
- Left-Middle faces Right-Middle (E)
- Left-End (F) faces Right-End
Since C and D face each other, and E is in the Right-Middle, D cannot be in the Left-Middle because it would have to face E.
Also, D cannot be in the Left-End because F is there.
Therefore, D must be in the Left-Entrance office.
Left-Entrance: D
Consequently, C must be in the Right-Entrance office (to face D).
Right-Entrance: C
9. This leaves the remaining positions:
Since D is Left-Entrance and F is Left-End, A must be in the Left-Middle office.
Left-Middle: A
Since C is Right-Entrance and E is Right-Middle, B must be in the Right-End office.
Right-End: B
Let's verify the complete layout:
Left Side: Entrance → D | Middle → A | End → F
Right Side: Entrance → C | Middle → E | End → B
Let us double-check all conditions:
- B and C are to the right, A is to the left (Satisfied).
- E (Right-Middle) and F (Left-End) are on opposite sides and do not face each other (Satisfied).
- C (Right-Entrance) and D (Left-Entrance) face each other (Satisfied).
- E is in the middle, so E does not have a corner office (Satisfied).
- F (Left-End) is further down the corridor than A (Left-Middle) on the same side (Satisfied).
Looking at the Left Side: D is at the entrance, A is in the middle, and F is at the end.
Therefore, F's only immediate neighbour on his side of the corridor is A. Hence, A is F's only immediate neighbour.
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