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Test: CAT Logical Reasoning & Data Interpretation- 6 - CAT MCQ


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20 Questions MCQ Test CAT Mock Test Series 2024 - Test: CAT Logical Reasoning & Data Interpretation- 6

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Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 1

Directions: Answer the given question based on the following data:

The following table provides the data of local and STD call rates from the network of one company to the network of another company.

Values are in Rs. per call

(i) The maximum possible Local and STD calls are being done between the same networks unless mentioned otherwise (i.e. Hairtel to Hairtel, Bodafone to Bodafone and so on).
(ii) Bodafone Local calls that are not to Bodafone are equally distributed to other networks.
(iii) There are no other telecom companies and networks in India.
(iv) ARPU is defined as Average Revenue per Customer per month.

Q. In November, the number of outgoing Local calls is 7.5 million and the number of incoming STD calls is 3 million. What is the ratio of revenues of Hairtel and Bodafone in November?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 1

Incoming

STD Break up

Revenue of Hairtel:
Local revenue = 40% of 7.5 x 0.5 = Rs. 1.5 million
STD revenue = 30% of 3 x 2 + 10% of 3 x 2.5 = 1.8 + .75 = Rs. 2.55 million
Total Revenue = 1.5 + 2.55 = 4.05 million
Revenue of Seliance:
Local Call revenue = 30% of 7.5 x 0.5 = 1.125 million
STD Call revenue = 25% x 3 x 1 = 0.750 million
Total Revenue = 1.125 + .75 = 1.875 million
Revenue of Bodafone
Local Calls revenue = 20% of 7.5 x 1 + 5% of 7.5 x 1 + 5% of 7.5 x 1 = 2.25 million
STD revenue = 30% of 3 x 1.3 + 5% of 3 x 2 = 1.47 million
Total revenue of Bodafone = 2.25 + 1.47 = 3.72 million
Ratio of revenue of Hairtel : revenue of Bodafone = 4.05 : 3.72 = 135 : 124

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 2

Directions: Answer the given question based on the following data:

The following table provides the data of local and STD call rates from the network of one company to the network of another company.

Values are in Rs. per call

(i) The maximum possible Local and STD calls are being done between the same networks unless mentioned otherwise (i.e. Hairtel to Hairtel, Bodafone to Bodafone and so on).
(ii) Bodafone Local calls that are not to Bodafone are equally distributed to other networks.
(iii) There are no other telecom companies and networks in India.
(iv) ARPU is defined as Average Revenue per Customer per month.

Q. In November, the number of outgoing Local calls is 7.5 million and the number of incoming STD calls is 3 million. If Seliance has 1 lac phone connections, what is its ARPU (one phone connection is the same as one customer)?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 2

Revenue of Seliance:
Local Call revenue = 30% of 7.5 x 0.5 = 1.125 million
STD Call revenue = 25% x 3 x 1 = 0.750 million
Total Revenue = 1.125 + .75 = 1.875 million
ARPU == 18.75 Rs. per month per customer

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Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 3

Directions: Answer the given question based on the following data:

The following table provides the data of local and STD call rates from the network of one company to the network of another company.

Values are in Rs. per call

(i) The maximum possible Local and STD calls are being done between the same networks unless mentioned otherwise (i.e. Hairtel to Hairtel, Bodafone to Bodafone and so on).
(ii) Bodafone Local calls that are not to Bodafone are equally distributed to other networks.
(iii) There are no other telecom companies and networks in India.
(iv) ARPU is defined as Average Revenue per Customer per month.

Q. Seliance wants to become number 1 company (revenue wise). Its incoming calls and outgoing calls are the same as the calls in November month. By what % Seliance should increase its STD rate (Seliance to Seliance) to become number 1, other rates being constant?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 3

Revenue of Seliance:
Local Call revenue = 30% of 7.5 x 0.5 = 1.125 million
STD Call revenue = 25% x 3 x 1 = 0.750 million
Total Revenue = 1.125 + .75 = 1.875 million
For being number 1, it has to just cross the revenue of Rs. 4.05 million.
The amount by which Seliance should increase its revenue = 4.05 - 1.875 = 2.175
STD revenue of Seliance must go up by 2.175 million.
% increase in STD revenue of Seliance = (2.175/.75) x 100 = 290%

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 4

Directions: Answer the given question based on the following data:

The following table provides the data of local and STD call rates from the network of one company to the network of another company.

Values are in Rs. per call

(i) The maximum possible Local and STD calls are being done between the same networks unless mentioned otherwise (i.e. Hairtel to Hairtel, Bodafone to Bodafone and so on).
(ii) Bodafone Local calls that are not to Bodafone are equally distributed to other networks.
(iii) There are no other telecom companies and networks in India.
(iv) ARPU is defined as Average Revenue per Customer per month.

Q. If for each incoming call, the company gets 25 paisa from the company (from which the call is sent), what is the difference between the revenue of Seliance and that of Bodafone (in Rs. lakhs)?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 4

Extra revenue for Seliance through local calls = 0.05 x 7.5 x .25 = 0.09375 million
Total revenue of Seliance through local calls = 1.125 + .09375 = 1.21875 million
Extra revenue for Seliance through STD = .15 x 3 x 0.25 = .1125 million
Total revenue of Seliance through STD = .750 + .1125 = 0.8625 million
Seliance revenue = 1.21875 + 0.8625 = 2.08125 million

Bodafone
Loss of revenue to Bodafone due to Local calls = .1 x 7.5 x .25 = .1875 million
Revenue of Bodafone from Local calls = 2.25 - .1875 = 2.0625 million
Revenue loss from STD calls = .05 x 3 x 0.25 = .0375 million
Revenue of Bodafone through STD = 1.47 - .0375 = 1.4325 million
Total revenue of Bodafone = 2.0625 + 1.4325 = 3.495 millions
Difference of revenue between Bodafone and Seliance = 3.495 - 2.08125 = 1.414 million = 14.14 lakhs

*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 5

Directions: Study the given information and answer the following question.

The table below gives some information about marks scored by Joey in a written exam for University Professor, which consists of five main categories: Quant, Reasoning, DI, English, and General Knowledge

The following data is also provided:
(1) For every correct answer, the candidate gets one mark, for every un-attempted question, the candidate loses 1/6 of a mark, and for every incorrect answer, the student loses 1/3 of a mark.
(2) Joey scores 67 marks and he attempts 125 questions.
(3) The number of incorrect answers given by Joey in English is 1/6 of total number of incorrect answers and twice the number of incorrect answers in Reasoning.
(4) Joey's net marks in Reasoning are double than those in DI.

Q. Key in the total number of incorrect answers given by Jeoy in Reasoning.


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 5










*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 6

Directions: Study the given information and answer the following question.

The table below gives some information about marks scored by Joey in a written exam for University Professor, which consists of five main categories: Quant, Reasoning, DI, English, and General Knowledge

The following data is also provided:
(1) For every correct answer, the candidate gets one mark, for every un-attempted question, the candidate loses 1/6 of a mark, and for every incorrect answer, the student loses 1/3 of a mark.
(2) Joey scores 67 marks and he attempts 125 questions.
(3) The number of incorrect answers given by Joey in English is 1/6 of total number of incorrect answers and twice the number of incorrect answers in Reasoning.
(4) Joey's net marks in Reasoning are double than those in DI.

Q. The highest number of incorrect answers given by Joey in any category is ____.


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 6










*Answer can only contain numeric values
Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 7

Directions: Study the given information and answer the following question.

The table below gives some information about marks scored by Joey in a written exam for University Professor, which consists of five main categories: Quant, Reasoning, DI, English, and General Knowledge

The following data is also provided:
(1) For every correct answer, the candidate gets one mark, for every un-attempted question, the candidate loses 1/6 of a mark, and for every incorrect answer, the student loses 1/3 of a mark.
(2) Joey scores 67 marks and he attempts 125 questions.
(3) The number of incorrect answers given by Joey in English is 1/6 of total number of incorrect answers and twice the number of incorrect answers in Reasoning.
(4) Joey's net marks in Reasoning are double than those in DI.

Q. Key in the number of questions attempted by Joey in Reasoning.


Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 7










Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 8

Directions: Study the given information and answer the following question.

The table below gives some information about marks scored by Joey in a written exam for University Professor, which consists of five main categories: Quant, Reasoning, DI, English, and General Knowledge

The following data is also provided:
(1) For every correct answer, the candidate gets one mark, for every un-attempted question, the candidate loses 1/6 of a mark, and for every incorrect answer, the student loses 1/3 of a mark.
(2) Joey scores 67 marks and he attempts 125 questions.
(3) The number of incorrect answers given by Joey in English is 1/6 of total number of incorrect answers and twice the number of incorrect answers in Reasoning.
(4) Joey's net marks in Reasoning are double than those in DI.

Q. What is the percentage accuracy of Joey in the examination?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 8











% Accuracy = (No. of correct answers)/(No. of questions attempted) × 100 = 89/125 × 100 = 71.20%

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 9

Directions: Study the given information and answer the following question.

The table below gives some information about marks scored by Joey in a written exam for University Professor, which consists of five main categories: Quant, Reasoning, DI, English, and General Knowledge

The following data is also provided:
(1) For every correct answer, the candidate gets one mark, for every un-attempted question, the candidate loses 1/6 of a mark, and for every incorrect answer, the student loses 1/3 of a mark.
(2) Joey scores 67 marks and he attempts 125 questions.
(3) The number of incorrect answers given by Joey in English is 1/6 of total number of incorrect answers and twice the number of incorrect answers in Reasoning.
(4) Joey's net marks in Reasoning are double than those in DI.

Q. What is the ratio of the number of questions attempted to the number of incorrect answers?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 9











The ratio of the number of questions attempted to the number of incorrect answers is 125 : 36.

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 10

Directions: Study the given information carefully and answer the following question.

In the 20-20 World Cup 2007, India played exactly one match with each of New Zealand, England, Australia and South Africa. Pakistan also played exactly one match with each of these 4 teams.

Out of these 8 matches, 4 were day matches and 4 were day and night matches. Each day from Monday to Thursday, two matches were played, one day match and other day and night match.

It is also known that:
1. India vs England and Pakistan vs South Africa were not held on the same day.
2. New Zealand and South Africa did not play a match on the same day.
3. India and Pakistan both played 2-day matches and 2 day and night matches.
4. Neither India nor Pakistan played two consecutive day matches or two consecutive day and night matches.
5. Pakistan vs England match was a day and night match.
6. India vs South Africa match was a day match on Wednesday.
7. England is the only team which played on consecutive days.

Q. India vs Australia match was held on

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 10

Condition 6. helps us to place India (I) and Pakistan (P) at the proper places in the below table.
here : D: Day match, D&N: Day and Night match, I: India, P: Pakistan, SA: South Africa, A: Australia, NZ: New Zealand, E: England.


From above, it is clear that South Africa cannot have a Day match with Pakistan.
Thus, South Africa shall have a D&N match with Pakistan.
This is possible only on Monday

Now P vs E can be placed under W(Wednesday) in D&N row as per condition 5.

The above completes P's share of D&N matches. This means P is left to play with NZ and E in D matches.
According to Condition 2., New Zealand and South Africa did not play a match on the same day.
Thus, NZ cannot play a Day match with India on Monday.

According to Condition 1. India vs England and Pakistan vs South Africa were not held on the same day, the table gets updated as below:

This also means that India must play with Australia on Monday.
From this, it can also be concluded that Australia would not have a match on the next day because of Condition 7.
Thus, Pakistan cannot have a match in the day with Australia on Tuesday. This means Pakistan plays with New Zealand on Tuesday and hence with Australia on Thursday.

This means that India vs NZ and India vs England are both & Night matches.

This means India cannot play with NZ on Tuesday as it is already playing a Day match with Pakistan the same day and this may cause NZ to play for 2 consecutive days.
This means India plays with NZ on Thursday and therefore India plays with England on Tuesday.

Final table is as below

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 11

Directions: Study the given information carefully and answer the following question.

In the 20-20 World Cup 2007, India played exactly one match with each of New Zealand, England, Australia and South Africa. Pakistan also played exactly one match with each of these 4 teams.

Out of these 8 matches, 4 were day matches and 4 were day and night matches. Each day from Monday to Thursday, two matches were played, one day match and other day and night match.

It is also known that:
1. India vs England and Pakistan vs South Africa were not held on the same day.
2. New Zealand and South Africa did not play a match on the same day.
3. India and Pakistan both played 2-day matches and 2 day and night matches.
4. Neither India nor Pakistan played two consecutive day matches or two consecutive day and night matches.
5. Pakistan vs England match was a day and night match.
6. India vs South Africa match was a day match on Wednesday.
7. England is the only team which played on consecutive days.

Q. Which of the following matches was a day and night match held on Monday?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 11

Condition 6. helps us to place India (I) and Pakistan (P) at the proper places in the below table.
here : D: Day match, D&N: Day and Night match, I: India, P: Pakistan, SA: South Africa, A: Australia, NZ: New Zealand, E: England.


From above, it is clear that South Africa cannot have a Day match with Pakistan.
Thus, South Africa shall have a D&N match with Pakistan.
This is possible only on Monday

Now P vs E can be placed under W(Wednesday) in D&N row as per condition 5.

The above completes P's share of D&N matches. This means P is left to play with NZ and E in D matches.
According to Condition 2., New Zealand and South Africa did not play a match on the same day.
Thus, NZ cannot play a Day match with India on Monday.

According to Condition 1. India vs England and Pakistan vs South Africa were not held on the same day, the table gets updated as below:

This also means that India must play with Australia on Monday.
From this, it can also be concluded that Australia would not have a match on the next day because of Condition 7.
Thus, Pakistan cannot have a match in the day with Australia on Tuesday. This means Pakistan plays with New Zealand on Tuesday and hence with Australia on Thursday.

This means that India vs NZ and India vs England are both & Night matches.

This means India cannot play with NZ on Tuesday as it is already playing a Day match with Pakistan the same day and this may cause NZ to play for 2 consecutive days.
This means India plays with NZ on Thursday and therefore India plays with England on Tuesday.

Final table is as below

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 12

Directions: Study the given information carefully and answer the following question.

In the 20-20 World Cup 2007, India played exactly one match with each of New Zealand, England, Australia and South Africa. Pakistan also played exactly one match with each of these 4 teams.

Out of these 8 matches, 4 were day matches and 4 were day and night matches. Each day from Monday to Thursday, two matches were played, one day match and other day and night match.

It is also known that:
1. India vs England and Pakistan vs South Africa were not held on the same day.
2. New Zealand and South Africa did not play a match on the same day.
3. India and Pakistan both played 2-day matches and 2 day and night matches.
4. Neither India nor Pakistan played two consecutive day matches or two consecutive day and night matches.
5. Pakistan vs England match was a day and night match.
6. India vs South Africa match was a day match on Wednesday.
7. England is the only team which played on consecutive days.

Q. Which of the following statements is false?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 12

Condition 6. helps us to place India (I) and Pakistan (P) at the proper places in the below table.
here : D: Day match, D&N: Day and Night match, I: India, P: Pakistan, SA: South Africa, A: Australia, NZ: New Zealand, E: England.


From above, it is clear that South Africa cannot have a Day match with Pakistan.
Thus, South Africa shall have a D&N match with Pakistan.
This is possible only on Monday

Now P vs E can be placed under W(Wednesday) in D&N row as per condition 5.

The above completes P's share of D&N matches. This means P is left to play with NZ and E in D matches.
According to Condition 2., New Zealand and South Africa did not play a match on the same day.
Thus, NZ cannot play a Day match with India on Monday.

According to Condition 1. India vs England and Pakistan vs South Africa were not held on the same day, the table gets updated as below:

This also means that India must play with Australia on Monday.
From this, it can also be concluded that Australia would not have a match on the next day because of Condition 7.
Thus, Pakistan cannot have a match in the day with Australia on Tuesday. This means Pakistan plays with New Zealand on Tuesday and hence with Australia on Thursday.

This means that India vs NZ and India vs England are both & Night matches.

This means India cannot play with NZ on Tuesday as it is already playing a Day match with Pakistan the same day and this may cause NZ to play for 2 consecutive days.
This means India plays with NZ on Thursday and therefore India plays with England on Tuesday.

Final table is as below

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 13

Directions: Study the given information carefully and answer the following question.

In the 20-20 World Cup 2007, India played exactly one match with each of New Zealand, England, Australia and South Africa. Pakistan also played exactly one match with each of these 4 teams.

Out of these 8 matches, 4 were day matches and 4 were day and night matches. Each day from Monday to Thursday, two matches were played, one day match and other day and night match.

It is also known that:
1. India vs England and Pakistan vs South Africa were not held on the same day.
2. New Zealand and South Africa did not play a match on the same day.
3. India and Pakistan both played 2-day matches and 2 day and night matches.
4. Neither India nor Pakistan played two consecutive day matches or two consecutive day and night matches.
5. Pakistan vs England match was a day and night match.
6. India vs South Africa match was a day match on Wednesday.
7. England is the only team which played on consecutive days.

Q. Which of the following schedules was wrong?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 13

Condition 6. helps us to place India (I) and Pakistan (P) at the proper places in the below table.
here : D: Day match, D&N: Day and Night match, I: India, P: Pakistan, SA: South Africa, A: Australia, NZ: New Zealand, E: England.


From above, it is clear that South Africa cannot have a Day match with Pakistan.
Thus, South Africa shall have a D&N match with Pakistan.
This is possible only on Monday

Now P vs E can be placed under W(Wednesday) in D&N row as per condition 5.

The above completes P's share of D&N matches. This means P is left to play with NZ and E in D matches.
According to Condition 2., New Zealand and South Africa did not play a match on the same day.
Thus, NZ cannot play a Day match with India on Monday.

According to Condition 1. India vs England and Pakistan vs South Africa were not held on the same day, the table gets updated as below:

This also means that India must play with Australia on Monday.
From this, it can also be concluded that Australia would not have a match on the next day because of Condition 7.
Thus, Pakistan cannot have a match in the day with Australia on Tuesday. This means Pakistan plays with New Zealand on Tuesday and hence with Australia on Thursday.

This means that India vs NZ and India vs England are both & Night matches.

This means India cannot play with NZ on Tuesday as it is already playing a Day match with Pakistan the same day and this may cause NZ to play for 2 consecutive days.
This means India plays with NZ on Thursday and therefore India plays with England on Tuesday.

Final table is as below

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 14

Directions: Study the given information carefully and answer the following question.

In the 20-20 World Cup 2007, India played exactly one match with each of New Zealand, England, Australia and South Africa. Pakistan also played exactly one match with each of these 4 teams.

Out of these 8 matches, 4 were day matches and 4 were day and night matches. Each day from Monday to Thursday, two matches were played, one day match and other day and night match.

It is also known that:
1. India vs England and Pakistan vs South Africa were not held on the same day.
2. New Zealand and South Africa did not play a match on the same day.
3. India and Pakistan both played 2-day matches and 2 day and night matches.
4. Neither India nor Pakistan played two consecutive day matches or two consecutive day and night matches.
5. Pakistan vs England match was a day and night match.
6. India vs South Africa match was a day match on Wednesday.
7. England is the only team which played on consecutive days.

Q. Which among the four teams completed their matches before the last scheduled day of play?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 14

Condition 6. helps us to place India (I) and Pakistan (P) at the proper places in the below table.
here : D: Day match, D&N: Day and Night match, I: India, P: Pakistan, SA: South Africa, A: Australia, NZ: New Zealand, E: England.


From above, it is clear that South Africa cannot have a Day match with Pakistan.
Thus, South Africa shall have a D&N match with Pakistan.
This is possible only on Monday

Now P vs E can be placed under W(Wednesday) in D&N row as per condition 5.

The above completes P's share of D&N matches. This means P is left to play with NZ and E in D matches.
According to Condition 2., New Zealand and South Africa did not play a match on the same day.
Thus, NZ cannot play a Day match with India on Monday.

According to Condition 1. India vs England and Pakistan vs South Africa were not held on the same day, the table gets updated as below:

This also means that India must play with Australia on Monday.
From this, it can also be concluded that Australia would not have a match on the next day because of Condition 7.
Thus, Pakistan cannot have a match in the day with Australia on Tuesday. This means Pakistan plays with New Zealand on Tuesday and hence with Australia on Thursday.

This means that India vs NZ and India vs England are both & Night matches.

This means India cannot play with NZ on Tuesday as it is already playing a Day match with Pakistan the same day and this may cause NZ to play for 2 consecutive days.
This means India plays with NZ on Thursday and therefore India plays with England on Tuesday.

Final table is as below

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 15

Directions: Read the information given below and answer the question that follows.

Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.

It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.

Q. Who stood first in the game?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 15

It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

From the above table, it is clear that Franklin got the highest amount, i.e. $10, so he stood first in the game.

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 16

Directions: Read the information given below and answer the question that follows.

Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.

It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.

Q. Who was at the fourth position from the bottom at the starting of the third attempt?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 16

It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

The 3rd and 2nd attempts were taken by Jake, so now we need to check the 1st attempt which was taken by Luke. In the 2nd attempt, Luke would be 2nd from the top, and there were no changes in the 3rd attempt, as the 3rd attempt was taken by the same person as the 2nd attempt.
So, fourth from the bottom would be the same person which was second from the top, i.e. Luke.

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 17

Directions: Read the information given below and answer the question that follows.

Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.

It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.

Q. Which of the following cannot be the sum of amount with any three players out of total five?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 17

It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

$15 = Franklin($10) + Jake($5) + Benjamin($0)
$5 = Franklin($10) +Jake($5) + Luke(-$10)
$10 = Franklin($10) + Jake($5) + Will(-$5)
Sum $20 is not possible from any three combinations of the given five players.

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 18

Directions: Read the information given below and answer the question that follows.

Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.

It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.

Q. What is the difference between the amounts (in $) with Benjamin and Will?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 18

It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

From the above table, after the final analysis of game, Benjamin's score is 0 and Will's score is -5. So the difference between the amounts (in $) with Benjamin and Will is 5.

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 19

Directions: Read the information given below and answer the question that follows.

Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.

It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.

Q. Who among the following was/were in debt at the end of the game?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 19

It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

Will and Luke respectively scored -10 and -5 debt at the end of the game, so both were in debt.

Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 20

Directions: Read the information given below and answer the question that follows.

Five players — Jack, Will, Luke, Benjamin and Franklin —participated in an innovative game show on a slot machine. At the beginning of the game, the five players were asked to stand in a queue, one behind the other, facing the same direction. Whenever a dealer called any player to the slot machine, the player who was called by the dealer had to move to the front of the queue (irrespective of whether his get was correct or not) and the others moved back in the queue, without any other rearrangement. For example, if the third player in the queue was called by the dealer, he had to move to the first position and the players who were earlier in the first and second positions moved to the second and third positions, respectively, while the players in the fourth and fifth positions did not move. Also, exactly one player rolled the slot machine in each attempt. The game had a total of six attempts, and every jackpot hit was awarded 10 dollars and when jackpot was not hit, it carried a penalty of 5 dollars. It is known that no two players had the same number of dollars at the end of the game.

It is given that every player had same amount of money in their pocket before the start of the game. Further, the following information is known about their positions in the queue at various stages of the game:
(i) Jack was the only player to get two attempts consecutively and he did not get the first attempt.
(ii) During the fourth attempt, Will moved from a position behind Franklin to a position in front of him and during the fifth attempt, Luke moved from a position behind Jack to a position in front of him.
(iii) Benjamin who was initially (i.e. before the first attempt of the game) at the beginning of the queue moved to the last position in the queue by the end of the game.
(iv) The sum of the dollars received by the five players was zero and the player who rolled the slot machine in the last attempt won the game.
(v) The player who rolled the slot machine in the first attempt had the least number of dollars in the game.
(vi) Jack was further ahead in the queue at the end of the game than at the beginning.

Q. Which of the following attempts rolled the slot machine to definitely hit the jackpot?

Detailed Solution for Test: CAT Logical Reasoning & Data Interpretation- 6 - Question 20

It is given that there were 6 attempts in the game and all the five players got different number of dollars. The maximum number of attempts a single player could have rolled the slot machine has to be 2 (if one player rolled the slot machine in 3 attempts, then two players would end up with the same number of dollars).
Jack was the only player to get 2 attempts consecutively and he did not get the 1st attempt. The number of maximum possible attempts by a player is 2, which means Jack got $10 in the first attempt, and in the second attempt he paid a penalty amount of $5, but from (iv), the player who rolled the slot machine in the last attempt won the game.
Jack couldn't be at 6th.
Possible positions for Jack are: 2, 3, or 3, 4, or 4, 5, but there is change in sequence (from (ii)) at the beginning of the 4th attempt and the 5th attempt. So, Jack couldn't go at the 4th and 5th attempt.
Sequence[attempt number(name, amount)]: 1, 2(Jack, $10), 3(Jack, -$5), 4, 5, 6(xx, $10)
This means, the 1st, 4th and 5th attempts didn't hit correctly and they would pay the penalty.
Sequence[attempt number(name, amount)]: 1(xx, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(xx, -$5), 6(xx, $10)
There has to be another person who rolled the slot machine in 2 attempts. This person also could not have rolled the slot machine in the 5th and 6th attempts.
Hence, he must have rolled the slot machine in the 1st and 5th attempts.
From (ii), this person has to be Luke because only by getting the 5th attempt could Luke move to front of Jack.
Sequence[attempt number(name, amount)]: 1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(xx, -$5), 5(Luke, -$5), 6(xx, $10)
Will must have rolled the slot machine in one attempt without hitting the jackpot and Franklin must have rolled the slot machine in one attempt and hit the jackpot.
Sequence[attempt number(name, amount)]:
1(Luke, -$5), 2(Jack, $10), 3(Jack, -$5), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)
OR
1(Luke, -$5), 2(Jack, -$5), 3(Jack, $10), 4(Will, -$5), 5(Luke, -$5), 6(Franklin, $10)

Thus, we can see that only 2nd or 3rd attempt and the last attempt hit the jackpot.
Since the question asks for a 'definite' hit, the answer is 6th attempt.

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