Q1:

Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.

The total sales (in million ₹) in 2019 from products in office supplies category is closest to

Answer options
Option 4
Correct Answer
Explanation for CAT DILR question 1

Q2:

Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.

The percentage increase in sales in Furniture category from 2019 to 2020 is closest to

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

Q3:

Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.

How many subcategories had sales of ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?

1
Correct Answer
Explanation for CAT DILR question 3

Q4:

Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019.

The improvement index for a category is the maximum percentage increase in sales from 2019 to 2020 among any of its subcategories. The correct order of categories in increasing order of this improvement index is

Answer options
Option 4
Correct Answer
Explanation for CAT DILR question 4

Q5:

Arrangements

Hard

Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

Finished productRaw materials required
Mango smoothieMango, Milk
Apple smoothieApple, Milk
Banana smoothieBanana, Milk
Mixed fruit smoothieMango, Apple, Banana, Milk
Fruit saladMango, Apple, Banana

One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of ₹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit.

The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.

Business HourGangaKaveriNarmada
Hour 1231931
Hour 2212221
Hour 3293023
Hour 4 (last hour)302722

The following additional facts are known.

  • No one except possibly Ganga sold any Mango smoothie.
  • Each woman sold either zero or one unit of any single finished product in any hour.
  • Each woman had exactly one unit each of two different raw materials as leftovers.
  • No one had any banana leftover.
  • What BEST can be concluded about the number of units of fruit salad sold in the first hour?

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT DILR question 5

    Q6:

    Arrangements

    Hard

    Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

    Finished productRaw materials required
    Mango smoothieMango, Milk
    Apple smoothieApple, Milk
    Banana smoothieBanana, Milk
    Mixed fruit smoothieMango, Apple, Banana, Milk
    Fruit saladMango, Apple, Banana

    One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of ₹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit.

    The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.

    Business HourGangaKaveriNarmada
    Hour 1231931
    Hour 2212221
    Hour 3293023
    Hour 4 (last hour)302722

    The following additional facts are known.

  • No one except possibly Ganga sold any Mango smoothie.
  • Each woman sold either zero or one unit of any single finished product in any hour.
  • Each woman had exactly one unit each of two different raw materials as leftovers.
  • No one had any banana leftover.
  • Which of the following is NECESSARILY true?

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT DILR question 6

    Q7:

    Tables

    Hard

    Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

    Finished productRaw materials required
    Mango smoothieMango, Milk
    Apple smoothieApple, Milk
    Banana smoothieBanana, Milk
    Mixed fruit smoothieMango, Apple, Banana, Milk
    Fruit saladMango, Apple, Banana

    One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of ₹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit.

    The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.

    Business HourGangaKaveriNarmada
    Hour 1231931
    Hour 2212221
    Hour 3293023
    Hour 4 (last hour)302722

    The following additional facts are known.

  • No one except possibly Ganga sold any Mango smoothie.
  • Each woman sold either zero or one unit of any single finished product in any hour.
  • Each woman had exactly one unit each of two different raw materials as leftovers.
  • No one had any banana leftover.
  • What BEST can be concluded about the total number of units of milk the three women had in the beginning?

    Answer options
    Option 4
    Correct Answer
    Explanation for CAT DILR question 7

    Q8:

    Arrangements

    Hard

    Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit of each of the raw materials mentioned in the second column of the table.

    Finished productRaw materials required
    Mango smoothieMango, Milk
    Apple smoothieApple, Milk
    Banana smoothieBanana, Milk
    Mixed fruit smoothieMango, Apple, Banana, Milk
    Fruit saladMango, Apple, Banana

    One unit of milk, mango, apple, and banana cost ₹5, ₹3, ₹2, and ₹1 respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of ₹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of ₹1 per unit.

    The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.

    Business HourGangaKaveriNarmada
    Hour 1231931
    Hour 2212221
    Hour 3293023
    Hour 4 (last hour)302722

    The following additional facts are known.

  • No one except possibly Ganga sold any Mango smoothie.
  • Each woman sold either zero or one unit of any single finished product in any hour.
  • Each woman had exactly one unit each of two different raw materials as leftovers.
  • No one had any banana leftover.
  • If it is known that three leftover units of mangoes were sold during the last business hour of the day, how many apple smoothies were sold during the day?

    6
    Correct Answer
    Explanation for CAT DILR question 8

    Q9:

    Arrangements

    Medium

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors.

    Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

    The following facts are also known.

  • F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
  • A was from the Automation area and did not have a paper scheduled in the October issue.
  • None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
  • A and H were from different countries, but had their papers scheduled in exactly the same issues.
  • C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
  • B, from the Logistics area, had a paper scheduled in the April issue of the journal.
  • B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
  • D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
  • C and H belonged to different areas.
  • What is the correct sequence of number of papers written by B, C, E and G, respectively?

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT DILR question 9

    Q10:

    Arrangements

    Medium

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors.

    Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

    The following facts are also known.

  • F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
  • A was from the Automation area and did not have a paper scheduled in the October issue.
  • None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
  • A and H were from different countries, but had their papers scheduled in exactly the same issues.
  • C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
  • B, from the Logistics area, had a paper scheduled in the April issue of the journal.
  • B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
  • D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
  • C and H belonged to different areas.
  • How many papers were written by Indian authors?

    8
    Correct Answer
    Explanation for CAT DILR question 10

    Q11:

    Arrangements

    Medium

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors.

    Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

    The following facts are also known.

  • F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
  • A was from the Automation area and did not have a paper scheduled in the October issue.
  • None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
  • A and H were from different countries, but had their papers scheduled in exactly the same issues.
  • C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
  • B, from the Logistics area, had a paper scheduled in the April issue of the journal.
  • B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
  • D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
  • C and H belonged to different areas.
  • Which of the following statement(s) MUST be true?

    Statement A: Every issue had at least one paper by author(s) from each country.
    Statement B: Every issue had at most two papers by author(s) from each area.

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT DILR question 11

    Q12:

    Arrangements

    Medium

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors.

    Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

    The following facts are also known.

  • F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
  • A was from the Automation area and did not have a paper scheduled in the October issue.
  • None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
  • A and H were from different countries, but had their papers scheduled in exactly the same issues.
  • C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
  • B, from the Logistics area, had a paper scheduled in the April issue of the journal.
  • B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
  • D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
  • C and H belonged to different areas.
  • Which of the following statements is FALSE?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT DILR question 12

    Q13:

    Arrangements

    Medium

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors.

    Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

    The following facts are also known.

  • F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
  • A was from the Automation area and did not have a paper scheduled in the October issue.
  • None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
  • A and H were from different countries, but had their papers scheduled in exactly the same issues.
  • C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
  • B, from the Logistics area, had a paper scheduled in the April issue of the journal.
  • B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
  • D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
  • C and H belonged to different areas.
  • Which of the following statements is FALSE?

    Answer options
    Option 2
    Correct Answer
    Explanation for CAT DILR question 13

    Q14:

    Arrangements

    Medium

    A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors.

    Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

    The following facts are also known.

  • F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
  • A was from the Automation area and did not have a paper scheduled in the October issue.
  • None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
  • A and H were from different countries, but had their papers scheduled in exactly the same issues.
  • C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
  • B, from the Logistics area, had a paper scheduled in the April issue of the journal.
  • B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
  • D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
  • C and H belonged to different areas.
  • Which of the following is the correct sequence of number of papers by authors from Automation, Manufacturing and Logistics areas, respectively?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT DILR question 14

    Q15:

    Arrangements

    Medium

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

    No. of FriendsNo. of
    Acquaintances
    No. of Strangers
    Amudha14
    Bharatan
    Chandran1
    Dhinesh2
    Ezhil1
    Fani1
    Gowtham32

    The following additional facts are also known.

    1. Amudha, Bharatan, and Chandran are mutual strangers.
    2. Amudha, Dhinesh, and Fani are Ezhil's friends.
    3. Chandran and Gowtham are friends.
    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

    Who are Gowtham's acquaintances?

    Answer options
    Option 2
    Correct Answer
    Explanation for CAT DILR question 15

    Q16:

    Arrangements

    Medium

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

    No. of FriendsNo. of
    Acquaintances
    No. of Strangers
    Amudha14
    Bharatan
    Chandran1
    Dhinesh2
    Ezhil1
    Fani1
    Gowtham32

    The following additional facts are also known.

    1. Amudha, Bharatan, and Chandran are mutual strangers.
    2. Amudha, Dhinesh, and Fani are Ezhil's friends.
    3. Chandran and Gowtham are friends.
    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

    Which of these pairs share the same type of relationship?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT DILR question 16

    Q17:

    Arrangements

    Medium

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

    No. of FriendsNo. of
    Acquaintances
    No. of Strangers
    Amudha14
    Bharatan
    Chandran1
    Dhinesh2
    Ezhil1
    Fani1
    Gowtham32

    The following additional facts are also known.

    1. Amudha, Bharatan, and Chandran are mutual strangers.
    2. Amudha, Dhinesh, and Fani are Ezhil's friends.
    3. Chandran and Gowtham are friends.
    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

    Who is an acquaintance of Amudha?

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT DILR question 17

    Q18:

    Arrangements

    Medium

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

    No. of FriendsNo. of
    Acquaintances
    No. of Strangers
    Amudha14
    Bharatan
    Chandran1
    Dhinesh2
    Ezhil1
    Fani1
    Gowtham32

    The following additional facts are also known.

    1. Amudha, Bharatan, and Chandran are mutual strangers.
    2. Amudha, Dhinesh, and Fani are Ezhil's friends.
    3. Chandran and Gowtham are friends.
    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

    Who is an acquaintance of Chandran?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT DILR question 18

    Q19:

    Arrangements

    Medium

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

    No. of FriendsNo. of
    Acquaintances
    No. of Strangers
    Amudha14
    Bharatan
    Chandran1
    Dhinesh2
    Ezhil1
    Fani1
    Gowtham32

    The following additional facts are also known.

    1. Amudha, Bharatan, and Chandran are mutual strangers.
    2. Amudha, Dhinesh, and Fani are Ezhil's friends.
    3. Chandran and Gowtham are friends.
    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

    How many friends does Ezhil have?

    3
    Correct Answer
    Explanation for CAT DILR question 19

    Q20:

    Arrangements

    Medium

    Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

    Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

    No. of FriendsNo. of
    Acquaintances
    No. of Strangers
    Amudha14
    Bharatan
    Chandran1
    Dhinesh2
    Ezhil1
    Fani1
    Gowtham32

    The following additional facts are also known.

    1. Amudha, Bharatan, and Chandran are mutual strangers.
    2. Amudha, Dhinesh, and Fani are Ezhil's friends.
    3. Chandran and Gowtham are friends.
    4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
    5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

    How many people are either a friend or a friend-of-a-friend of Ezhil?

    4
    Correct Answer
    Explanation for CAT DILR question 20

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