Table (Calculation Based)
Q.No: 1
Test Name : CAT 2017 Actual Paper Slot 1
Question Numbers : (39 to 42) A study to look at the early learning of rural kids was carried out in a number of villages spanning three
states,, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were
sampled from each of the 150 villages from NE, 250 villages from W and 200 villages from S. It was found
that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private
schools (P) while the remaining 8% did npt go to school (O).
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
What percentage of kids from S were studying in P?
Solution:
Q.No: 2
Test Name : CAT 2017 Actual Paper Slot 1
Question Numbers : (39 to 42) A study to look at the early learning of rural kids was carried out in a number of villages spanning three
states,, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were
sampled from each of the 150 villages from NE, 250 villages from W and 200 villages from S. It was found
that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private
schools (P) while the remaining 8% did npt go to school (O).
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
Among the kids in W whose mothers had completed primary education, how many were not in school?
Solution:
Q.No: 3
Test Name : CAT 2017 Actual Paper Slot 1
Question Numbers : (39 to 42) A study to look at the early learning of rural kids was carried out in a number of villages spanning three
states,, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were
sampled from each of the 150 villages from NE, 250 villages from W and 200 villages from S. It was found
that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private
schools (P) while the remaining 8% did npt go to school (O).
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
In a follow up survey of the same kids two years later, it was found that all the kids were now in
school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the
rest were enrolled in P; in the second region, all such kids were in G now; while in the third region,
50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put
together, 50% of the kids who were earlier out of school had joined G. It was also seen that no
surveyed kid had changed schools.
What number of the surveyed kids now were in G in W?
Solution:
Q.No: 4
Test Name : CAT 2017 Actual Paper Slot 1
Question Numbers : (39 to 42) A study to look at the early learning of rural kids was carried out in a number of villages spanning three
states,, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were
sampled from each of the 150 villages from NE, 250 villages from W and 200 villages from S. It was found
that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private
schools (P) while the remaining 8% did npt go to school (O).
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education;
It is also known that;
1. In S, 60% of the surveyed kids were in G. Moreover in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W.
In a follow up survey of the same kids two years later, it was found that all the kids were now in
school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the
rest were enrolled in P; in the second region, all such kids were in G now; while in the third region,
50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put
together, 50% of the kids who were earlier out of school had joined G. It was also seen that no
surveyed kid had changed schools.
What percentage of the surveyed kids in S, whose mothers had dropped out before completing
primary education, were in G now?
Solution:
Q.No: 5
Test Name : CAT 2017 Actual Paper Slot 2
Question Numbers: (35 to 38): Funky Pizzaria was
required to supply pizzas to three different parties. The
total number of pizzas it had to deliver was 800, 70% of
which were to be delivered to Party 3 and the rest equally
divided between Party 1 and Party 2.
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
How many Normal Cheese pizzas were required to be delivered to Party 1?
Solution:
From table, 16 normal cheese pizzas were required to be delivered to party.
From table, 16 normal cheese pizzas were required to be delivered to party.
Q.No: 6
Test Name : CAT 2017 Actual Paper Slot 2
Question Numbers: (35 to 38): Funky Pizzaria was
required to supply pizzas to three different parties. The
total number of pizzas it had to deliver was 800, 70% of
which were to be delivered to Party 3 and the rest equally
divided between Party 1 and Party 2.
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of T-EC and D-EC pizzas to be delivered to Party 2?
Solution:
Q.No: 7
Test Name : CAT 2017 Actual Paper Slot 2
Question Numbers: (35 to 38): Funky Pizzaria was
required to supply pizzas to three different parties. The
total number of pizzas it had to deliver was 800, 70% of
which were to be delivered to Party 3 and the rest equally
divided between Party 1 and Party 2.
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
Suppose that a T-NC pizza cost as much as a DNC
pizza, but 3/5th of the price of a D-EC pizza. A DEC
pizza costs Rs.50 more than a T-EC pizza, and
the latter costs Rs.500.
If 25% of the Normal Cheese pizzas delivered to
Party 1 were of Deep Dish variety, what was the
total bill for Party 1?
Solution:
Q.No: 8
Test Name : CAT 2017 Actual Paper Slot 2
Question Numbers: (35 to 38): Funky Pizzaria was
required to supply pizzas to three different parties. The
total number of pizzas it had to deliver was 800, 70% of
which were to be delivered to Party 3 and the rest equally
divided between Party 1 and Party 2.
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, There are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:
How many Thin Crust pizzas were to be delivered to Party 3?
Solution:
From table, 162 thin crust pizzas were to be delivered to party 3.
From table, 162 thin crust pizzas were to be delivered to party 3.
Q.No: 9
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 39 to 42: A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Which of the following statements MUST be true?
1. Jatin's composite score was more than that of Danish.
2. Indu scored less than Chetna in DI.
3. Jatin scored more than Indu in GA.
Solution:
Q.No: 10
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 39 to 42: A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Which of the following statements MUST be FALSE?
Solution:
Q.No: 11
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 39 to 42: A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
If all the candidates except Ajay and Danish had different marks in DI, and Bala's composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI?
Solution:
Q.No: 12
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 39 to 42: A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
Ten candidates appeared for the written test. Their marks in the test are given in the table below. Some marks in the table are missing, but the following facts are known:
No two candidates had the same composite score.
Ajay was the unique highest scorer in WE.
Among the four recruited, Geeta had the lowest composite score. Indu was recruited.
Danish, Harini, and Indu had scored the same marks the in GA.
Indu and Jatin both scored 100% in exactly one section and Jatin’s composite score was 10 more than Indu’s.
If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE?
Solution:
Q.No: 13
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 51 to 54: There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country.
Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
The brand that had the highest revenue in 2016 is:
Solution:
Q.No: 14
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 51 to 54: There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country.
Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
The brand that had the highest profit in 2016 is:
Solution:
Q.No: 15
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 51 to 54: There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country.
Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
The brand that had the highest profit in 2017 is:
Solution:
Q.No: 16
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 51 to 54: There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country.
Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
The complete list of brands whose profits went up in 2017 from 2016 is:
Solution:
Q.No: 17
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (47 to 50): Answer the questions
on the basis of the information given below.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
If Damodaran does not get a bonus, what is the maximum possible value of his final rating?
Solution:
If Damodaran does not get a bonus, it implies that Damodaran must have got a rating of 1 in one of the five
parameters. Since, none of drivers has got the same rating in three parameters, means they can have same
rating in at most two parameters. Therefore, in order to maximize the final rating of Damodaran, we can assume
that the rating in five parameters could be 1, 3, 4, 5, and 5.
The average rating = (1 + 3 + 4 + 5 + 5)/5 = 3.6.
The average rating = (1 + 3 + 4 + 5 + 5)/5 = 3.6.
Q.No: 18
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (47 to 50): Answer the questions
on the basis of the information given below.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
If Eman gets a bonus, what is the minimum possible value of his final rating?
Solution:
If Eman gets a bonus, it implies that Eman must have got a rating of 5 in atleast one of the five parameters.
Since, none of drivers has got the same rating in three parameters, means they can have same rating in at most
two parameters. Therefore, in order to minimize the final rating of Eman, we can assume that the rating in five
parameters could be 2, 3, 3, 5, and 2.
The average rating = (2 + 3 + 3 + 5 + 2)/5 = 3.
The average rating = (2 + 3 + 3 + 5 + 2)/5 = 3.
Q.No: 19
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (47 to 50): Answer the questions
on the basis of the information given below.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?
Solution:
Q.No: 20
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (47 to 50): Answer the questions
on the basis of the information given below.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:
P1: timely arrival
P2: behaviour
P3: comfortable ride
P4: driver's familiarity with the route
P5: value for money
Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.
The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:
The following additional facts are known.
1. Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.
2. None of drivers has got the same rating in three parameters.
If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?
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From table, 16 normal cheese pizzas were required to be delivered to party.
From table, 16 normal cheese pizzas were required to be delivered to party.
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From table, 162 thin crust pizzas were to be delivered to party 3.
From table, 162 thin crust pizzas were to be delivered to party 3.
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If Damodaran does not get a bonus, it implies that Damodaran must have got a rating of 1 in one of the five
parameters. Since, none of drivers has got the same rating in three parameters, means they can have same
rating in at most two parameters. Therefore, in order to maximize the final rating of Damodaran, we can assume
that the rating in five parameters could be 1, 3, 4, 5, and 5.
The average rating = (1 + 3 + 4 + 5 + 5)/5 = 3.6.
The average rating = (1 + 3 + 4 + 5 + 5)/5 = 3.6.
Solution:
If Eman gets a bonus, it implies that Eman must have got a rating of 5 in atleast one of the five parameters.
Since, none of drivers has got the same rating in three parameters, means they can have same rating in at most
two parameters. Therefore, in order to minimize the final rating of Eman, we can assume that the rating in five
parameters could be 2, 3, 3, 5, and 2.
The average rating = (2 + 3 + 3 + 5 + 2)/5 = 3.
The average rating = (2 + 3 + 3 + 5 + 2)/5 = 3.
Solution:
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