Question Details

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: If E sits in his office and faces the corridor, whose office is to his left?

Options

A

A

B

B

C

C

D

D

Show Answer

Correct Answer :

Option C

C

Solution :

The correct option is C.


Let us reconstruct the layout of the office block step-by-step based on the given clues:

1. Layout of the corridor and offices:
Let us represent the office block as having two sides of a corridor: the Left (L) side and the Right (R) side, as one enters the office block. Since there are six officers (A, B, C, D, E, and F), there must be three offices on the left side and three offices on the right side. Let's number them from the entrance (nearest) to the far end (further down):
Left Side: L1 (corner near entrance), L2 (middle), L3 (corner further down)
Right Side: R1 (corner near entrance), R2 (middle), R3 (corner further down)
Note: Offices facing each other are (L1, R1), (L2, R2), and (L3, R3).


2. Placing A, B, and C:
- "Both B and C occupy offices to the right of the corridor" ⇒ B and C are on the Right side {R1, R2, R3}.
- "A occupies on the left of the corridor" ⇒ A is on the Left side {L1, L2, L3}.


3. Placing F:
- "F’s office is further down the corridor than A’s, but on the same side."
Since A and F are on the same side, and A is on the Left side, F must also be on the Left side.
Since F is further down the corridor than A, A must be closer to the entrance than F. Given there are only 3 slots per side, the possible configurations for (A, F) on the Left side are:
- Case 1: A is at L1, F is at L2 or L3
- Case 2: A is at L2, F is at L3


4. Placing E:
- "E and F occupy offices on opposite sides of the corridor but their offices do not face each other."
Since F is on the Left side, E must be on the Right side.
- "E does not have a corner office."
On the Right side, the offices are R1 (corner), R2 (middle), and R3 (corner). Since E does not have a corner office, E must occupy the middle office on the right side: E occupies R2.


5. Determining F and A's exact offices:
- Since E is at R2, the office facing E is L2. We are told that E and F do not face each other. Thus, F cannot be at L2.
- Since F must be on the Left side and further down than A, and F cannot be at L2, F must be at the furthest office on the left: F occupies L3.
- Since F is at L3, and A's office is less far down than F's, A must be at L1 (since L2 will be occupied by the remaining officer on the left): A occupies L1.


6. Placing the remaining officers (C, D, B):
- The only left-side office left is L2, so D must occupy L2: D occupies L2.
- "The offices of C and D face each other."
Since D is at L2, the office facing D is R2. But E is already at R2. Let's re-verify the relative arrangement. If C and D face each other, and D is at L2, then C must be at R2. If C is at R2, then E cannot be at R2. Let us look at the direction of entry.
If we enter the corridor, the offices on the left are L1, L2, L3 and on the right are R1, R2, R3.
Let's match all conditions:
- Left side: D, A, F
- Right side: B, C, E
Since E cannot have a corner office, E must be in the middle on the right side (R2).
Since C and D face each other, if D is at L1, C is at R1. If D is at L3, C is at R3.
Let us test: If D is at L2, C faces D at R2, which conflicts with E being at R2. Therefore, D cannot be at L2.
This means the middle office on the left (L2) must be occupied by either A or F. But F is further down than A, so A must be at L1 and F must be at L3, or A is at L2 and F is at L3.
Since D must occupy one of the Left offices, and D cannot be at L2 (otherwise it faces E at R2), D must be at one of the corners (L1 or L3).
Let's check the condition: "F's office is further down than A's".
If A is at L1, F can be at L2 or L3.
If F is at L2, F would face E (at R2), which is forbidden. Thus, F cannot be at L2.
So F must be at L3.
If F is at L3, then A can be at L1 or L2.
If A is at L1, then the remaining left office L2 must be occupied by D. But if D is at L2, D faces C at R2, which conflicts with E being at R2. Thus, A cannot be at L1.
Therefore, A must be at L2: A occupies L2.
Consequently, D must be at L1: D occupies L1.
Since C and D face each other, C must face L1: C occupies R1.
The remaining right-side office R3 must be occupied by B: B occupies R3.


Let's double-check this layout against all rules:
- Left Side: D (L1), A (L2), F (L3)
- Right Side: C (R1), E (R2), B (R3)
- B and C are to the right of the corridor (R3, R1) - True.
- A is to the left (L2) - True.
- E and F are on opposite sides (R2 and L3) and do not face each other (R2 faces L2, L3 faces R3) - True.
- C and D face each other (R1 and L1 face each other) - True.
- E does not have a corner office (E is at R2, which is middle) - True.
- F is further down (L3) than A (L2) on the same side - True.


7. Answering the Question:
If E sits in his office (R2) and faces the corridor (looking from the right side towards the left side):
- Facing the corridor means looking towards the left side (towards A at L2).
- Since E is on the right side of the corridor, looking towards the corridor (left side) means the entrance of the office block (R1/L1) is to E's left, and the deeper part of the corridor (R3/L3) is to E's right.
- The office to E's left on the same side is R1, which is occupied by C.

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