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 (not-stop) flights, then the minimum number of direct flights to be scheduled is:

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180

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135

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Solution

The correct option is C
180

Minimum number of direct flights to be scheduled $=^{10} C_{2} \times 4 = 45 \times 4 = 180$

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Similar questions

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 one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:

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 cities are in G1
2) Between A and any city in G2
3) Between B and any city in G3
4) Between C and any city in G4
However, due to operational difficulties at A, it was later decided that the only flights that would operate at A would be those to and from B. Cities in G2 would have to be assigned to G3 or to G4.
What would be the maximum reduction in the number of direct flights as compared to the situation before the operational difficulties arose?___

Q. Directions:- Study the following information carefully to answer the question given below.

Seven flights namely Jet Airways, British Airways, Delta, Quantas, Emirates. Lufthansa, Air India are scheduled to fly to London. There is only one flight to London on each of the seven days of the week, starting from Monday and ending on Sunday.
Delta flies on Wednesday. Air India flies the day next to the British Airways flight. British Airways does not fly on Monday or Friday. Two airlines fly between the days British Airways and Emirates fly. Emirates does not fly on Sunday. Quantas flies a day before Lufthansa.

If Emirates is related to British Airways and Delta is related to Quantas in a certain way based upon the given flight schedule, then Jet Airways will be related to which of the following based upon the same relationship?

Q. Directions:- Study the following information carefully to answer the question given below.

Seven flights namely Jet Airways, British Airways, Delta, Quantas, Emirates. Lufthansa, Air India are scheduled to fly to London. There is only one flight to London on each of the seven days of the week, starting from Monday and ending on Sunday.
Delta flies on Wednesday. Air India flies the day next to the British Airways flight. British Airways does not fly on Monday or Friday. Two airlines fly between the days British Airways and Emirates fly. Emirates does not fly on Sunday. Quantas flies a day before Lufthansa.

If Delta postpones its flight to Sunday owing to some technical reasons and all the flights scheduled for Thursday to Sunday are now made to take off a day ahead of the schedule, which of the following flights would now fly on Friday?

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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 (not-stop) flights, then the minimum number of direct flights to be scheduled is:

The correct option is C 180 Minimum number of direct flights to be scheduled =10C2×4=45×4=180

The correct option is C
180

Minimum number of direct flights to be scheduled $=^{10} C_{2} \times 4 = 45 \times 4 = 180$