A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B : A-M-B, A-N-B and A-M-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route. How many cars would the police department order to take the A-M-N-B route so that it is not possible for any car to reduce its travel time by not following the order while the other cars follow the order? (Assume that the police department would never order all the cars to take the same route.)

From the passage: A new airlines company is planning to start operations in a country. T...

Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following : 1. Both cit…

From the passage: In a square layout of size 5m × 5m, 25 equal-sized square platforms of...

Which of the following statements is true about this layout?

From the passage: A new airlines company is planning to start operations in a country. T...

Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further suppose that direct flights are allowed only between two cities satisfying one of the following : 1. Both citi…

From the passage: A new airlines company is planning to start operations in a country. T...

Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in o…

From the passage: A new airlines company is planning to start operations in a country. T...

If the underlying principle is to be satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is :

From the passage: In a square layout of size 5m × 5m, 25 equal-sized square platforms of...

We can find two individuals who cannot be reached (by) anyone in

From the passage: In a square layout of size 5m × 5m, 25 equal-sized square platforms of...

Which of the following is true for any individual at a platform of height 1 m in this layout?

From the passage: In a square layout of size 5m × 5m, 25 equal-sized square platforms of...

How many individuals in this layout can be reached by just one individual?