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  • Directions for question: Mr Vinay Dube, the CEO of Akasa Air, decided to reinforce his fleet of aircrafts to pump up the profitability of Akasa

Directions for question:

Mr Vinay Dube, the CEO of Akasa Air, decided to reinforce his fleet of aircrafts to pump up the profitability of Akasa Air. However recession was round the corner, and being the intelligent entrepreneur that he was, wanted to do so at the minimum cost to the Akasa Air capital. So he initiated a reconnaissance of the condition of the then defunct Kingfisher Airlines (KFA) aircrafts lying at the various airports of India, with the aim of buying them from the Airport Authority of India and the tax authorities, who would be more than willing to auction them at a nominal cost to any buyer who would be remotely interested. He would then repair them to make them airworthy, and use them in the Akasa Air fleet. The repairing was the actual big budget expense that would have to be undertaken.

The result of the reconnaissance yielded the fact that there were ten modern Airbus jet airliners of A319 and A380 version of Kingfisher Airlines (KFA) which were in very decent condition and could very well be used after repairs of the issues created by lack of usage for a very long time. The ten aircrafts were coded with the English letters from A to J. 

The maintenance engineers submitted a survey report to Mr Dube on the estimate of the expenditure behind repairs of the aircrafts A to J. All the expenditures behind repairs (in Rs crores) of each aircraft were integral. The repairs with an estimated cost of rupees ten to twenty crores were termed as ‘minor repairs’, that of rupees thirty to forty crores as ‘medium repairs’ and that of rupees fifty to sixty crores as ‘major repairs’.

The report was in the form of a Scatter Graph as shown below :

The report also stated that :

a) Aircrafts coded A, C, E, G and I would not need minor repairs, aircrafts coded B, D, F, H and J would not need medium repairs and aircrafts coded C, F and I would not need major repairs

b) Aircrafts coded D to I would need different repairing costs

c) Aircraft coded G needed the maximum and aircraft coded H the minimum repairing expenditure.

Question:

Which of the following options may not be necessarily true ? 

 

Option: 1

Aircraft coded A needs a medium repair

 


Option: 2

The repairing expense of aircraft coded E will be no more than rupees forty crores

 


Option: 3

Aircraft coded G needs a major repair

 


Option: 4

The repairing expense of aircraft coded J will be no more than rupees forty crores


Answers (1)

best_answer

It is given in the report that :

a) Aircrafts coded A, C, E, G and I would not need minor repairs, aircrafts coded B, D, F, H and J would not need medium repairs and aircrafts coded C, F and I would not need major repairs.

So aircrafts coded A, C, E, G and I would need either medium repairs or major repairs

Also aircrafts coded B, D, F, H and J would need either minor repairs or major repairs

Aircrafts coded C, F and I would need either minor repairs or medium repairs

From the above we can conclude :

Aircrafts coded C and I would need medium repairs

Aircraft coded F would need minor repairs

It is also given in the report that :

c) Aircraft coded G needed the maximum and aircraft coded H the minimum repairing expenditure.

From the above we can conclude :

Aircraft coded H would need minor repairs costing Rs 10 crores

Aircraft coded G would need major repairs costing Rs 60 crores

From the scatter graph we can also make out that :

There are three aircrafts that would need minor repairs (two Rs 10 crores and one Rs 20 crores)

There are four aircrafts that would need medium repairs (three Rs 30 crores and one Rs 40 crores)

There are three aircrafts that would need major repairs (one Rs 50 crores and two Rs 60 crores)

The report also said that :

b) Aircrafts coded D to I would need different repairing costs

Now, out of the aircrafts coded B, D, F, H and J, F and H are already identified to need minor repairs. 

But because aircrafts coded D to I would need different repairing costs, the third one requiring minor repairs must not lie within them as otherwise there would be two Rs 10 crore repairing costs. 

So, the code of the third aircraft needing minor repairs must be having code B or J, of estimated repair value Rs 10 crores.

Hence the estimated repairing cost of aircraft coded F is Rs 20 crores.

The rest, that is aircrafts coded D and J or D and B needed major repairs.

But because aircrafts coded D to I would need different repairing costs, and the estimated repairing cost of aircraft coded G is Rs 60 crores, aircraft coded D must have an estimated repairing cost of Rs 50 crores.

So the estimated repairing cost of J or B is Rs 60 crores.

The remaining aircrafts coded A and E would require medium repairs

Out of the aircrafts coded A, C, E and I which needed medium repairs, aircrafts coded E and I must have different repairing costs, as per point (c).

The rest, that is aircrafts coded A and C must have the same repairing cost of Rs 30 crores.

We cannot be sure about the repairing cost of aircrafts coded E and I, as anyone can have Rs 30 crores and the other would have Rs 40 crores.

Thus, it can be finally concluded that :

Aircraft Code

Repair type

Estimated repairing cost (Rs crores)

A

Medium 

30

B

Minor 

10/60

C

Medium

30

D

Major 

50

E

Medium 

30/40

F

Minor

20

G

Major

60

H

Minor

10

I

Medium

40/30

J

Major 

60/10

 

Aircraft coded A needs a medium repair is true

The repairing expense of aircraft coded E will be no more than rupees forty crores is true

Aircraft coded G needs a major repair is true

However, the statement that the repairing expense of aircraft coded J will be no more than rupees forty crores is not necessarily true.

Hence Option D is the correct choice.

 

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