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CAT Exam  >  CAT Tests  >  Test: Analytical Reasoning - 2(July 17) - CAT MCQ

Test: Analytical Reasoning - 2(July 17) - CAT MCQ


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10 Questions MCQ Test - Test: Analytical Reasoning - 2(July 17)

Test: Analytical Reasoning - 2(July 17) for CAT 2024 is part of CAT preparation. The Test: Analytical Reasoning - 2(July 17) questions and answers have been prepared according to the CAT exam syllabus.The Test: Analytical Reasoning - 2(July 17) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Analytical Reasoning - 2(July 17) below.
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Test: Analytical Reasoning - 2(July 17) - Question 1
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Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following.
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

(2017)

Q. 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.

Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 1

Let the ten cities be represented by A through J.
Among these ten cities, consider A, B and C to be hubs and the other seven cities to be non-hub cities.
It is given that any direct flight should originate and terminate at a hub.
Total flight from D = 4 × 3 = 12
[∵ Only for A, B, C]
Non hub city flight = 12 × 7 = 84
[∵ for other then A, B, C]
Total flight = 12 + 84 = 96

Test: Analytical Reasoning - 2(July 17) - Question 2
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Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following.
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

(2017)

Q. 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.
(I) Both cities are in G1
(II) Between A and any city in G2
(III) Between B and any city in G3
(IV) Between C and any city in G4
Then the minimum number of direct flights that satisfies the underlying principle of the airline is.

Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 2

Given that G1 has the cities A, B and C. G2, G3 and G4 have 3, 2 and 2 cities respectively. From the given conditions, we can see that a city in G2 cannot be connected by a direct flight to a city in G3 or G4. Hence, for a person to travel from a city in G2 to a city in G3 or G4, all the citres in G2 must be connected to A and from A, he can travel to B or C to travel to a city G3 or G4 respectively.
Hence, the 3 cities in G2 must be connected to A between each pair of cities there must be four flights.
Hence, there must be 4 × 3 = 12 flights between cities in G2 and A.
Since there are 2 cities in G3, there must be 2 × 4 = 8 flights between cities in G3 and 8.
Since there are 2 cities in G4, there must be 2× 4 = 8 flights between cities in G4 and C.
Also, the cities in G1, i.e.,  A, B and C must be connected to each other Hence, there must be an additional 4 × 3 = 12 flights between these three cities.
Therefore, the total minimum number of direct flights that must be scheduled =12 + 8 + 8 + 12 = 40

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Test: Analytical Reasoning - 2(July 17) - Question 3
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Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following.
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

(2017)

Q. 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.
(A) Both cities are in G1
(B) Between a and any city in G2
(C) Between b and any city in G3
(D) 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 G4.
What would be the maximum reduction in the number of direct flights as compared to the situation before the operational difficulties arose?

Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 3

It is given that the cities in G2 will be assigned to G3 or G4. However, this, by itself, will not result in any reduction in the number of flights because the cities in G2 will still have to be connected to either 8 or C.
However, it is also given that there are now flights between A and C. Hence, the 4 flights that would have been scheduled in the previous case, will now not be scheduled. Hence, the reduction in the number of flights can be a maximum of 4.

Test: Analytical Reasoning - 2(July 17) - Question 4
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Directions for Questions: answer the questions on the basis of the information given below.
A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.
Further, the following conditions need to be observed:
(i) The team must have at least one forward, one point guard and one defender.
(ii) If the team includes J, it must also include F.
(iii) The team must include E or B, but not both.
(iv) If the team includes G, it must also include F.
(v) The team must include exactly one among C, G and I.
(vi) C and F cannot be members of the same team
(vii) D and H cannot be members of the same team
(viii) The team must include both A and D or neither of them.
There is no restriction on the number of members in the team.

(2016)

Q. What could be the size of the team that includes G?
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 4

The conditions related to G are, if G is included, F also must be included and C and I cannot be included. There are no other conditions related to G. Hence, a team that includes G can be
(a) AEJGDF
(b) ADGFE
(c) EGFH
More arrangement are possible. Hence, the number of members in the team is 4 or 5.

Test: Analytical Reasoning - 2(July 17) - Question 5
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Directions for Questions: answer the questions on the basis of the information given below.
A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.
Further, the following conditions need to be observed:
(i) The team must have at least one forward, one point guard and one defender.
(ii) If the team includes J, it must also include F.
(iii) The team must include E or B, but not both.
(iv) If the team includes G, it must also include F.
(v) The team must include exactly one among C, G and I.
(vi) C and F cannot be members of the same team
(vii) D and H cannot be members of the same team
(viii) The team must include both A and D or neither of them
There is no restriction on the number of members in the team.

(2016)

Q. What would be the size of the largest possible team?
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 5

The largest possible team can have six members. As one of, (E, B) and (D, H) and two of (C, G, I) must definitely be excluded. Hence, a miniumum of four members must be excluded. So size of the largest possible team is 6.

Test: Analytical Reasoning - 2(July 17) - Question 6
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Directions for Questions: answer the questions on the basis of the information given below.
A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.
Further, the following conditions need to be observed:
(i) The team must have at least one forward, one point guard and one defender.
(ii) If the team includes J, it must also include F.
(iii) The team must include E or B, but not both.
(iv) If the team includes G, it must also include F.
(v) The team must include exactly one among C, G and I.
(vi) C and F cannot be members of the same team
(vii) D and H cannot be members of the same team
(viii) The team must include both A and D or neither of them
There is no restriction on the number of members in the team.

(2016)

Q. Who cannot be included in a team of size 6?
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 6

If a team includes H, neither A nor D can be included in that team and further one of (E, B) and two of (C, G, I) must be excluded making the size of the team as 5.

Test: Analytical Reasoning - 2(July 17) - Question 7
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Directions for Questions: answer the questions on the basis of the information given below.
A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.
Further, the following conditions need to be observed:

(i) The team must have at least one forward, one point guard and one defender.
(ii) If the team includes J, it must also include F.
(iii) The team must include E or B, but not both.
(iv) If the team includes G, it must also include F.
(v) The team must include exactly one among C, G and I.
(vi) C and F cannot be members of the same team
(vii) D and H cannot be members of the same team
(viii) The team must include both A and D or neither of them
There is no restriction on the number of members in the team.

(2016)

Q. What can be the size of the team that includes C?
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 7

If C is included, G, I and F must be excluded.
As F is excluded, J also must be excluded.
As F and I are excluded, the only remaining defender D must be included.
As D is included, A must be included and thus H must be excluded.
As G and H are excluded, the only remaining point guard B must be selected.
As B is included, E must be excluded.
∴ The team is (A, B, C, D) So, size of the team that includes C is 4.

Test: Analytical Reasoning - 2(July 17) - Question 8
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Directions for Questions: Answer the questions on the basis of the information given below.
After facing yet another World Cup debacle, the Board of Cricket Control in India (BCCI) is in search of a new coach for the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and Chappel. Each of them is from a different country among Australia, India, Japan, Pakistan and Canada, not necessarily in that order. At present, each of them is coaching the team of a different country among Australia, Bangladesh, china, Wales and Bermuda, not necessarily in that order. The following details were also observed about their particulars:
(i) For any person, each of his three particulars – his name, the name of the country from which he is and the name of the country that he is coaching at present, starts with a different letter.
(ii) Whatmore is coaching Australia and John is from neither Australia nor Pakistan.
(iii) Buchanen is not coaching China and the person who is coaching Bermuda is from Canada.
(iv) Anshuman is neither from Canada nor from Pakistan and also the person from Pakistan is coaching Bangladesh.            

(2016)

Q. Whatmore is from which country?
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 8

Let the countries to which the persons belong i.e.
Australia, Canada, Pakistan, India and Japan be represented by A, C, P, I and J respectively. Let the countries that they are coaching i.e. Australia, Wales, Bangladesh, Bermuda and China be represented by Au, Wa, Ba, Be and Ch respectively.

What more can be from India on Japan, So, can be defermined.

Test: Analytical Reasoning - 2(July 17) - Question 9
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Directions for Questions: Answer the questions on the basis of the information given below.
After facing yet another World Cup debacle, the Board of Cricket Control in India (BCCI) is in search of a new coach for the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and Chappel. Each of them is from a different country among Australia, India, Japan, Pakistan and Canada, not necessarily in that order. At present, each of them is coaching the team of a different country among Australia, Bangladesh, china, Wales and Bermuda, not necessarily in that order. The following details were also observed about their particulars:
(i) For any person, each of his three particulars – his name, the name of the country from which he is and the name of the country that he is coaching at present, starts with a different letter.
(ii) Whatmore is coaching Australia and John is from neither Australia nor Pakistan.
(iii) Buchanen is not coaching China and the person who is coaching Bermuda is from Canada.
(iv) Anshuman is neither from Canada nor from Pakistan and also the person from Pakistan is coaching Bangladesh.            

(2016)

Q. Who is the person from Australia?
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 9

Let the countries to which the persons belong i.e.
Australia, Canada, Pakistan, India and Japan be represented by A, C, P, I and J respectively. Let the countries that they are coaching i.e. Australia, Wales, Bangladesh, Bermuda and China be represented by Au, Wa, Ba, Be and Ch respectively.

According to above data.
Buchanen is from Australia.

Test: Analytical Reasoning - 2(July 17) - Question 10
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Directions for Questions: Answer the questions on the basis of the information given below.
After facing yet another World Cup debacle, the Board of Cricket Control in India (BCCI) is in search of a new coach for the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and Chappel. Each of them is from a different country among Australia, India, Japan, Pakistan and Canada, not necessarily in that order. At present, each of them is coaching the team of a different country among Australia, Bangladesh, china, Wales and Bermuda, not necessarily in that order. The following details were also observed about their particulars:
(i) For any person, each of his three particulars – his name, the name of the country from which he is and the name of the country that he is coaching at present, starts with a different letter.
(ii) Whatmore is coaching Australia and John is from neither Australia nor Pakistan.
(iii) Buchanen is not coaching China and the person who is coaching Bermuda is from Canada.
(iv) Anshuman is neither from Canada nor from Pakistan and also the person from Pakistan is coaching Bangladesh.            

(2016)

Q. The person from Japan is definitely not coaching
Detailed Solution for Test: Analytical Reasoning - 2(July 17) - Question 10

Let the countries to which the persons belong i.e.
Australia, Canada, Pakistan, India and Japan be represented by A, C, P, I and J respectively. Let the countries that they are coaching i.e. Australia, Wales, Bangladesh, Bermuda and China be represented by Au, Wa, Ba, Be and Ch respectively.

Wales had Buchanen, who from Australia as their coach.

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