Q1:

CAT 2024 Slot 3

Tables

Hard

Out of 1010 countries -- Country 11 through Country 1010-- Country 99 has the highest gross domestic product (GDP), and Country 1010 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 11 through Country 88 for the year 20242024.

  • Column 11 gives the country's identity.
  • Column 22 gives the country's GDP as a fraction of the GDP of Country 9.
  • Column 33 gives the country's GDP per capita as a fraction of the GDP per capita of Country10.
  • Column 44 gives the country's annual GDP growth rate.
  • Column 55 gives the country's annual population growth rate.

Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.

Which one among the countries 1 through 8, has the smallest population in 2024?

Answer options
Option 1
Correct Answer
Explanation for CAT 2024 Slot 3 DILR question 1

Q2:

CAT 2024 Slot 3

Tables

Hard

Out of 1010 countries -- Country 11 through Country 1010-- Country 99 has the highest gross domestic product (GDP), and Country 1010 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 11 through Country 88 for the year 20242024.

  • Column 11 gives the country's identity.
  • Column 22 gives the country's GDP as a fraction of the GDP of Country 9.
  • Column 33 gives the country's GDP per capita as a fraction of the GDP per capita of Country10.
  • Column 44 gives the country's annual GDP growth rate.
  • Column 55 gives the country's annual population growth rate.

Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.

The ratio of Country 4’s GDP to Country 5’s GDP in 2026 will be closest to

Answer options
Option 2
Correct Answer
Explanation for CAT 2024 Slot 3 DILR question 2

Q3:

CAT 2024 Slot 3

Tables

Hard

Out of 1010 countries -- Country 11 through Country 1010-- Country 99 has the highest gross domestic product (GDP), and Country 1010 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 11 through Country 88 for the year 20242024.

  • Column 11 gives the country's identity.
  • Column 22 gives the country's GDP as a fraction of the GDP of Country 9.
  • Column 33 gives the country's GDP per capita as a fraction of the GDP per capita of Country10.
  • Column 44 gives the country's annual GDP growth rate.
  • Column 55 gives the country's annual population growth rate.

Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.

Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?

Answer options
Option 4
Correct Answer
Explanation for CAT 2024 Slot 3 DILR question 3

Q4:

CAT 2024 Slot 3

Tables

Hard

Out of 1010 countries -- Country 11 through Country 1010-- Country 99 has the highest gross domestic product (GDP), and Country 1010 has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country 11 through Country 88 for the year 20242024.

  • Column 11 gives the country's identity.
  • Column 22 gives the country's GDP as a fraction of the GDP of Country 9.
  • Column 33 gives the country's GDP per capita as a fraction of the GDP per capita of Country10.
  • Column 44 gives the country's annual GDP growth rate.
  • Column 55 gives the country's annual population growth rate.

Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.

For how many countries among Country 1 through Country 8 will the GDP per capita in 2027 be lower than that in 2024?

Q5:

CAT 2024 Slot 3

Tables

Medium

The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the foodgrain category and the second column its codename. The table has some missing values.

The following additional facts are known.

  1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
  2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
  3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
  4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
  5. P1 contained double the amount of protein that M3 contains.

How many foodgrains had a higher amount of carbohydrate per 100 grams of nutrients than M1?

Q6:

CAT 2024 Slot 3

Tables

Medium

The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the foodgrain category and the second column its codename. The table has some missing values.

The following additional facts are known.

  1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
  2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
  3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
  4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
  5. P1 contained double the amount of protein that M3 contains.

How many grams of protein were there in 100 grams of nutrients in M2?

Q7:

CAT 2024 Slot 3

Tables

Medium

The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the foodgrain category and the second column its codename. The table has some missing values.

The following additional facts are known.

  1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
  2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
  3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
  4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
  5. P1 contained double the amount of protein that M3 contains.

How many grams of other nutrients were there in 100 grams of nutrients in M3?

Q8:

CAT 2024 Slot 3

Tables

Medium

The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the foodgrain category and the second column its codename. The table has some missing values.

The following additional facts are known.

  1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
  2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
  3. All the missing values of carbohydrate amounts (in grams) for all the foodgrains are non-zero multiples of 5.
  4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of 4.
  5. P1 contained double the amount of protein that M3 contains.

What is the median of the number of grams of protein in 100 grams of nutrients among these food grains?

Q9:

CAT 2023 Slot 3

Tables

Easy

In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months, January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.

  1. In every month, both online and offline registration numbers were multiples of 10.
  2. In January, the number of offline registrations was twice that of online registrations.
  3. In April, the number of online registrations was twice that of offline registrations.
  4. The number of online registrations in March was the same as the number of offline registrations in February.
  5. The number of online registrations was the largest in May.

What was the total number of registrations in April?

Q10:

CAT 2023 Slot 3

Tables

Easy

In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months, January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.

  1. In every month, both online and offline registration numbers were multiples of 10.
  2. In January, the number of offline registrations was twice that of online registrations.
  3. In April, the number of online registrations was twice that of offline registrations.
  4. The number of online registrations in March was the same as the number of offline registrations in February.
  5. The number of online registrations was the largest in May.

What was the number of online registrations in January?

Q11:

CAT 2023 Slot 3

Tables

Easy

In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months, January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.

  1. In every month, both online and offline registration numbers were multiples of 10.
  2. In January, the number of offline registrations was twice that of online registrations.
  3. In April, the number of online registrations was twice that of offline registrations.
  4. The number of online registrations in March was the same as the number of offline registrations in February.
  5. The number of online registrations was the largest in May.

Which of the following statements can be true?

I. The number of offline registrations was the smallest In May.

II. The total number of registrations was the smallest in February.

Answer options
Option 1
Correct Answer
Explanation for CAT 2023 Slot 3 DILR question 11

Q12:

CAT 2023 Slot 3

Tables

Easy

In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months, January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.

  1. In every month, both online and offline registration numbers were multiples of 10.
  2. In January, the number of offline registrations was twice that of online registrations.
  3. In April, the number of online registrations was twice that of offline registrations.
  4. The number of online registrations in March was the same as the number of offline registrations in February.
  5. The number of online registrations was the largest in May.

What was the number of offline registrations in February?

Answer options
Option 3
Correct Answer
Explanation for CAT 2023 Slot 3 DILR question 12

Q13:

CAT 2023 Slot 3

Tables

Easy

In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months, January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.

  1. In every month, both online and offline registration numbers were multiples of 10.
  2. In January, the number of offline registrations was twice that of online registrations.
  3. In April, the number of online registrations was twice that of offline registrations.
  4. The number of online registrations in March was the same as the number of offline registrations in February.
  5. The number of online registrations was the largest in May.

Which pair of months definitely had the same total number of registrations?

I. January and April

II. February and May

Answer options
Option 3
Correct Answer
Explanation for CAT 2023 Slot 3 DILR question 13

Q14:

CAT 2023 Slot 2

Tables

Medium

Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9, both inclusive. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants' scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.



Table 1: 2-day averages for Days 2
through 5
Day 2Day 3Day 4Day 5
1515.51617

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.



Table 2: Ranks of participants on each day
Day 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122

The following information is also known.

  1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
  2. The total score on Day 3 is the same as the total score on Day 4.
  3. Bimal's scores are the same on Day 1 and Day 3.

What is Akhil's score on Day 1?

Answer options
Option 1
Correct Answer
Explanation for CAT 2023 Slot 2 DILR question 14

Q15:

CAT 2023 Slot 2

Tables

Medium

Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9, both inclusive. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants' scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.



Table 1: 2-day averages for Days 2
through 5
Day 2Day 3Day 4Day 5
1515.51617

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.



Table 2: Ranks of participants on each day
Day 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122

The following information is also known.

  1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
  2. The total score on Day 3 is the same as the total score on Day 4.
  3. Bimal's scores are the same on Day 1 and Day 3.

Who attains the maximum total score?

Answer options
Option 4
Correct Answer
Explanation for CAT 2023 Slot 2 DILR question 15

Q16:

CAT 2023 Slot 2

Tables

Medium

Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9, both inclusive. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants' scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.



Table 1: 2-day averages for Days 2
through 5
Day 2Day 3Day 4Day 5
1515.51617

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.



Table 2: Ranks of participants on each day
Day 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122

The following information is also known.

  1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
  2. The total score on Day 3 is the same as the total score on Day 4.
  3. Bimal's scores are the same on Day 1 and Day 3.

If Akhil attains a total score of 24, then what is the total score of Bimal?

Q17:

CAT 2023 Slot 1

Tables

Medium

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.

The summary statistics of these ratings for the five workers is given below.

UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443

*Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.

The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.

(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

How many individual ratings cannot be determined from the above information? (in numerial value)

Q18:

CAT 2023 Slot 1

Tables

Medium

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.

The summary statistics of these ratings for the five workers is given below.

UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443

*Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.

The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.

(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

To how many workers did R2 give a rating of 4? (in numerial value)

Q19:

CAT 2023 Slot 1

Tables

Medium

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.

The summary statistics of these ratings for the five workers is given below.

UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443

*Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.

The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.

(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

What rating did R1 give to Xavier? (in numerial value)

Q20:

CAT 2023 Slot 1

Tables

Medium

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.

The summary statistics of these ratings for the five workers is given below.

UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443

*Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.

The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.

(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

What is the median of the ratings given by R3 to the five workers? (in numerial value)

Q21:

CAT 2023 Slot 1

Tables

Medium

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.

The summary statistics of these ratings for the five workers is given below.

UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443

*Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.

The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.

(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

Which among the following restaurants gave its median rating to exactly one of the workers?

Answer options
Option 4
Correct Answer
Explanation for CAT 2023 Slot 1 DILR question 21

Q22:

CAT 2022 Slot 3

Tables

Hard

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2: 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3: 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4:5:2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3: 1.
  8. 30 students failed in ML.

How many students took AI?

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 22

Q23:

CAT 2022 Slot 3

Tables

Hard

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2: 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3: 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4:5:2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3: 1.
  8. 30 students failed in ML.

How many CS students failed in ML?

Q24:

CAT 2022 Slot 3

Tables

Hard

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2: 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3: 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4:5:2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3: 1.
  8. 30 students failed in ML.

How many non-CS students got A grade in ML?

Q25:

CAT 2022 Slot 3

Tables

Hard

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2: 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3: 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4:5:2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3: 1.
  8. 30 students failed in ML.

How many students got A grade in AI?

Answer options
Option 3
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 25

Q26:

CAT 2022 Slot 3

Tables

Hard

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2: 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3: 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4:5:2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3: 1.
  8. 30 students failed in ML.

How many non-CS students got B grade in ML?

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 26

Q27:

CAT 2022 Slot 2

Tables

Hard

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals - FDA or EU.

The following facts are also known:

  1. There were equal numbers of domestic and foreign products.
  2. Half of the domestic products were FDA approved cosmetic products.
  3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.
  4. There were 140 nutrition products, half of them were foreign products.
  5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

How many foreign products were FDA approved cosmetic products?

Q28:

CAT 2022 Slot 2

Tables

Hard

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals - FDA or EU.

The following facts are also known:

  1. There were equal numbers of domestic and foreign products.
  2. Half of the domestic products were FDA approved cosmetic products.
  3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.
  4. There were 140 nutrition products, half of them were foreign products.
  5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

How many cosmetic products did not have FDA approval?

Answer options
Option 3
Correct Answer
Explanation for CAT 2022 Slot 2 DILR question 28

Q29:

CAT 2022 Slot 2

Tables

Hard

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals - FDA or EU.

The following facts are also known:

  1. There were equal numbers of domestic and foreign products.
  2. Half of the domestic products were FDA approved cosmetic products.
  3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.
  4. There were 140 nutrition products, half of them were foreign products.
  5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

Which among the following options best represents the number of domestic cosmetic products that had both the approvals?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 2 DILR question 29

Q30:

CAT 2022 Slot 2

Tables

Hard

A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals - FDA or EU.

The following facts are also known:

  1. There were equal numbers of domestic and foreign products.
  2. Half of the domestic products were FDA approved cosmetic products.
  3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.
  4. There were 140 nutrition products, half of them were foreign products.
  5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products

If 7070 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 2 DILR question 30