A, B, C, D, E and F are the six police stations in an area, which are connected by streets as shown below. Four teams – Team 1, Team 2, Team 3 and Team 4 –
patrol these streets continuously between 09:00 hrs. and 12:00 hrs. each day.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743777968/aptidude_questions/hvc8g1fffanrnwaiaj9r.png)

The teams need 30 minutes to cross a street connecting one police station to another. All four teams start from Station A at 09:00 hrs. and must return to Station A by 12:00 hrs. They can also pass via Station A at any point on their journeys.

The following facts are known.
1. None of the streets has more than one team traveling along it in any direction at any point in time.
2. Teams 2 and 3 are the only ones in stations E and D respectively at 10:00 hrs.
3. Teams 1 and 3 are the only ones in station E at 10:30 hrs.
4. Teams 1 and 4 are the only ones in stations B and E respectively at 11:30 hrs.
5. Team 1 and Team 4 are the only teams that patrol the street connecting stations A and E.
6. Team 4 never passes through Stations B, D or F.

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How many teams pass through Station C in a day?

Question

A, B, C, D, E and F are the six police stations in an area, which are connected by streets as shown below. Four teams – Team 1, Team 2, Team 3 and Team 4 –
patrol these streets continuously between 09:00 hrs. and 12:00 hrs. each day.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743777968/aptidude_questions/hvc8g1fffanrnwaiaj9r.png)

The teams need 30 minutes to cross a street connecting one police station to another. All four teams start from Station A at 09:00 hrs. and must return to Station A by 12:00 hrs. They can also pass via Station A at any point on their journeys.

The following facts are known.
1. None of the streets has more than one team traveling along it in any direction at any point in time.
2. Teams 2 and 3 are the only ones in stations E and D respectively at 10:00 hrs.
3. Teams 1 and 3 are the only ones in station E at 10:30 hrs.
4. Teams 1 and 4 are the only ones in stations B and E respectively at 11:30 hrs.
5. Team 1 and Team 4 are the only teams that patrol the street connecting stations A and E.
6. Team 4 never passes through Stations B, D or F.

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How many teams pass through Station C in a day?

Accepted Answer

To determine how many teams pass through **Station C**, we analyze the problem step by step using the given data.

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### Step-by-Step Analysis:

#### Step 1: Key Observations from the Diagram
- The diagram shows six stations (**A, B, C, D, E, F**) connected by streets.
- All teams start at **Station A at 09:00 hrs** and must return to **Station A by 12:00 hrs**.
- Teams need **30 minutes to cross a street connecting two stations**, as stated.

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#### Step 2: Analyze Each Fact
1. **Fact 6:** Team **4 never passes through Stations B, D, or F.**
   - This limits Team 4's movement to Stations **A, C, and E**.
   - Team 4 must pass through Station C during its patrol.

2. **Fact 5:** Teams **1 and 4 are the only teams that patrol the street connecting Stations A and E.**
   - This implies that Team 1 does not need to pass through Station C unless it chooses a route involving Station C.

3. **Fact 2:** Teams **2 and 3 are the only ones in Stations E and D respectively at 10:00 hrs.**
   - Team 2 moves between Stations A and E but does not pass through Station C.
   - Team 3 moves between Stations A, D, and possibly other stations but does not necessarily visit Station C.

4. **Fact 4:** At **11:30 hrs**, Teams:
   - Team **1 is at Station B**,  
   - Team **4 is at Station E**, confirming that Team 4 passes through Station C during its route.

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#### Step 3: Determine Teams Passing Through Station C
- From Fact 6, Team **4 passes through Station C as it avoids B, D, and F.
- No other team is explicitly required to pass through Station C based on the facts provided.

Thus:
$$
	ext{Number of teams passing through Station C} = \mathbf{2}.
$$

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### Conclusion:
The number of teams passing through Station C in a day is **2**, making option **A (2)** correct.

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Answer

Answer

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