Police Station Street Patrolling Routes

CAT 2023 Slot 3 · DILR · Hard · Logical Reasoning

All CAT 2023 Slot 3 questionsMore Logical Reasoning questionsAll CAT DILR

Passage / data set

A, B, C, D, E and F are the six police stations in an area, which are connected by streets (A is connected to B, C, E, F; B is connected to A; C is connected to A, D; D is connected to C, E; E is connected to A, D, F; F is connected to A, E). 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.

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.

Question 1 of 5

Which one among the following stations is visited the largest number of times?

  1. A.

    Station D

  2. B.

    Station C

  3. C.

    Station F

  4. D.

    Station E

Answer

D

Explanation

By tracing the exact 6-step movement (every 30 mins from 09:00 to 12:00) of all four teams, Station E is visited most frequently among the options.

Question 2 of 5

How many times do the teams pass through Station B in a day?

Answer

6

Explanation

Since street A-B can only be patrolled by teams other than Team 4, and each visit to B takes a round trip A-B-A (1 hour), tracing Team 1's route reveals Station B is visited 6 times in total across all team routes.

Question 3 of 5

Which team patrols the street connecting Stations D and E at 10:15 hrs?

  1. A.

    Team 2

  2. B.

    Team 1

  3. C.

    Team 4

  4. D.

    Team 3

Answer

A

Explanation

At 10:00, Team 2 is at E and Team 3 is at D. At 10:30, Team 3 moves to E, meaning Team 3 travels D->E. Wait, Team 2 at 10:00 moves from E to D, so Team 2 is on the street D-E at 10:15.

Question 4 of 5

How many times does Team 4 pass through Station E in a day?

Answer

3

Explanation

Team 4 only travels between A and E (since it never visits B, D, F). In 3 hours (6 slots of 30 mins), Team 4 oscillates A-E-A-E-A-E-A. It reaches Station E at 09:30, 10:30, 11:30. Thus, it passes through Station E 3 times.

Question 5 of 5

How many teams pass through Station C in a day?

  1. A.

    2

  2. B.

    1

  3. C.

    3

  4. D.

    4

Answer

A

Explanation

Only Team 2 and Team 3 take the routes that pass through Station C.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace