Q1:

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 5050 nutrition products did not have EU approval, then how many domestic cosmetic products did not have EU approval?

Q2:

CAT 2022 Slot 2

Tables

Medium

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.

  1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100100 items.
  1. On both days, Lahur met the same number of households and sold the same number of items.
  1. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
  1. Tohri met 3030 more households on the second day than on the first day.
  1. Tohri's success rate was twice that of Lahur's on the first day, and it was 75%75 \% of Lahur's on the second day.

What was the total number of households met by Tohri, Hokli and Lahur on the first day?

Q3:

CAT 2022 Slot 2

Tables

Medium

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.

  1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100100 items.
  1. On both days, Lahur met the same number of households and sold the same number of items.
  1. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
  1. Tohri met 3030 more households on the second day than on the first day.
  1. Tohri's success rate was twice that of Lahur's on the first day, and it was 75%75 \% of Lahur's on the second day.

How many TRICCEK items were sold by Tohri on the first day?

Q4:

CAT 2022 Slot 2

Tables

Medium

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.

  1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100100 items.
  1. On both days, Lahur met the same number of households and sold the same number of items.
  1. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
  1. Tohri met 3030 more households on the second day than on the first day.
  1. Tohri's success rate was twice that of Lahur's on the first day, and it was 75%75 \% of Lahur's on the second day.

How many households did Lahur meet on the second day?

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 2 DILR question 4

Q5:

CAT 2022 Slot 2

Tables

Medium

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.

  1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100100 items.
  1. On both days, Lahur met the same number of households and sold the same number of items.
  1. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
  1. Tohri met 3030 more households on the second day than on the first day.
  1. Tohri's success rate was twice that of Lahur's on the first day, and it was 75%75 \% of Lahur's on the second day.

How many households did Tohri meet on the first day?

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 2 DILR question 5

Q6:

CAT 2022 Slot 2

Tables

Medium

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.

  1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100100 items.
  1. On both days, Lahur met the same number of households and sold the same number of items.
  1. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
  1. Tohri met 3030 more households on the second day than on the first day.
  1. Tohri's success rate was twice that of Lahur's on the first day, and it was 75%75 \% of Lahur's on the second day.

Which of the following statements is FALSE?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 2 DILR question 6

Q7:

CAT 2021 Slot 1

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 2021 Slot 1 DILR question 7

    Q8:

    CAT 2020 Slot 3

    Tables

    Medium

    XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.

    The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.

    It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.



    DayCumulative orders bookedOrders delivered on dayCumulative orders lost
    13th2191191
    14th2492792
    15th2772394
    16th30211106
    17th32721118
    18th33213120
    19th33714129


    Among the following days, the largest fraction of orders booked on which day was lost?

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT 2020 Slot 3 DILR question 8

    Q9:

    CAT 2020 Slot 3

    Tables

    Medium

    XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.

    The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.

    It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.



    DayCumulative orders bookedOrders delivered on dayCumulative orders lost
    13th2191191
    14th2492792
    15th2772394
    16th30211106
    17th32721118
    18th33213120
    19th33714129


    On which of the following days was the number of orders booked the highest?

    Answer options
    Option 2
    Correct Answer
    Explanation for CAT 2020 Slot 3 DILR question 9

    Q10:

    CAT 2020 Slot 3

    Tables

    Medium

    XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.

    The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.

    It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.



    DayCumulative orders bookedOrders delivered on dayCumulative orders lost
    13th2191191
    14th2492792
    15th2772394
    16th30211106
    17th32721118
    18th33213120
    19th33714129


    The delivery ratio for a given day is defined as the ratio of the number of orders booked on that day which are delivered on the next day to the number of orders booked on the second day after booking. On which of the following days, was the delivery ratio the highest?

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT 2020 Slot 3 DILR question 10

    Q11:

    CAT 2020 Slot 3

    Tables

    Medium

    XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.

    The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.

    It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.



    DayCumulative orders bookedOrders delivered on dayCumulative orders lost
    13th2191191
    14th2492792
    15th2772394
    16th30211106
    17th32721118
    18th33213120
    19th33714129


    The average time taken to deliver orders booked on a particular day is computed as follows. Let the number of orders delivered the next day be xx and the number of orders delivered the day after be yy. Then the average time to deliver order is (x+2y)/(x+y)(x+2y)/(x+y).

    On which of the following days was the average time taken to deliver orders booked the least?

    Answer options
    Option 4
    Correct Answer
    Explanation for CAT 2020 Slot 3 DILR question 11

    Q12:

    CAT 2020 Slot 2

    Tables

    Medium

    In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

    In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

    The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

    ConstituencyABCD
    No. of candidates contesting101258
    Total No. of valid votes polled5,00,0003,25,0006,00,030
    No. of votes polled by the winning candidate2,75,00048,750
    No. of votes polled by the first runner up95,00037,500
    No. of votes polled by the second runner up30,000
    % of valid votes polled by the third runner up10%

    The following additional facts are known:

    1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
    2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
    3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

    What is the percentage of votes polled in total by all the candidates who lost their security deposits while contesting for constituency A?

    Q13:

    CAT 2020 Slot 2

    Tables

    Medium

    In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

    In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

    The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

    ConstituencyABCD
    No. of candidates contesting101258
    Total No. of valid votes polled5,00,0003,25,0006,00,030
    No. of votes polled by the winning candidate2,75,00048,750
    No. of votes polled by the first runner up95,00037,500
    No. of votes polled by the second runner up30,000
    % of valid votes polled by the third runner up10%

    The following additional facts are known:

    1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
    2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
    3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

    How many candidates who contested in constituency B lost their security deposit?

    Q14:

    CAT 2020 Slot 2

    Tables

    Medium

    In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

    In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

    The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

    ConstituencyABCD
    No. of candidates contesting101258
    Total No. of valid votes polled5,00,0003,25,0006,00,030
    No. of votes polled by the winning candidate2,75,00048,750
    No. of votes polled by the first runner up95,00037,500
    No. of votes polled by the second runner up30,000
    % of valid votes polled by the third runner up10%

    The following additional facts are known:

    1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
    2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
    3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

    What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?

    Answer options
    Option 4
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 14

    Q15:

    CAT 2020 Slot 2

    Tables

    Medium

    In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

    In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

    The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

    ConstituencyABCD
    No. of candidates contesting101258
    Total No. of valid votes polled5,00,0003,25,0006,00,030
    No. of votes polled by the winning candidate2,75,00048,750
    No. of votes polled by the first runner up95,00037,500
    No. of votes polled by the second runner up30,000
    % of valid votes polled by the third runner up10%

    The following additional facts are known:

    1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
    2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
    3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

    What was the number of valid votes polled in constituency D?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 15

    Q16:

    CAT 2020 Slot 2

    Tables

    Medium

    In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

    In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

    The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

    ConstituencyABCD
    No. of candidates contesting101258
    Total No. of valid votes polled5,00,0003,25,0006,00,030
    No. of votes polled by the winning candidate2,75,00048,750
    No. of votes polled by the first runner up95,00037,500
    No. of votes polled by the second runner up30,000
    % of valid votes polled by the third runner up10%

    The following additional facts are known:

    1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
    2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
    3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

    The winning margin of a constituency is defined as the difference of votes polled by the winner and that of the first runner up.

    Which of the following CANNOT be the list of constituencies, in increasing order of winning margin?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 16

    Q17:

    CAT 2020 Slot 2

    Tables

    Medium

    In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.

    In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.

    The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.

    ConstituencyABCD
    No. of candidates contesting101258
    Total No. of valid votes polled5,00,0003,25,0006,00,030
    No. of votes polled by the winning candidate2,75,00048,750
    No. of votes polled by the first runner up95,00037,500
    No. of votes polled by the second runner up30,000
    % of valid votes polled by the third runner up10%

    The following additional facts are known:

    1. The first runner up polled 10,000 more votes than the second runner up in constituency A.
    2. None of the candidates who contested in constituency C lost their security deposit. The difference in votes polled by any pair of candidates in this constituency was at least 10,000.
    3. The winning candidate in constituency D polled 5% of valid votes more than that of the first runner up. All the candidates who lost their security deposits while contesting for this constituency, put together, polled 35% of the valid votes.

    For all the four constituencies taken together, what was the approximate number of votes polled by all the candidates who lost their security deposit expressed as a percentage of the total valid votes from these four constituencies?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 17

    Q18:

    CAT 2020 Slot 2

    Tables

    Medium

    A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments - 'Apparel', 'Electronics', and 'HomeDecor'. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the following table.

    DelhiMumbaiBengaluruKolkata
    Sales Amounts (Crore Rupees)20182019201820192018201920182019
    Apparels54
    Electronics789882102907080100
    Home Decor100728054


    The following additional information is known.
    1. The sales amounts in the Apparel departments were the same for Delhi and Kolkata in2018.
    2. The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in2019.
    3. The sales amounts in the Home Decor departments were the same for Mumbai and Kolkata in 2018.
    4. The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
    5. The total sales amounts of the four Home Decor departments increased by Rs 70 Crores from 2018 to 2019.
    6. The sales amounts in the Home Decor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.
    7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
    8. The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

    In the Home Decor departments, which cities had the highest sales amounts in 2018 and 2019, respectively?

    Answer options
    Option 2
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 18

    Q19:

    CAT 2020 Slot 2

    Tables

    Medium

    A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments - 'Apparel', 'Electronics', and 'HomeDecor'. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the following table.

    DelhiMumbaiBengaluruKolkata
    Sales Amounts (Crore Rupees)20182019201820192018201920182019
    Apparels54
    Electronics789882102907080100
    Home Decor100728054


    The following additional information is known.
    1. The sales amounts in the Apparel departments were the same for Delhi and Kolkata in2018.
    2. The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in2019.
    3. The sales amounts in the Home Decor departments were the same for Mumbai and Kolkata in 2018.
    4. The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
    5. The total sales amounts of the four Home Decor departments increased by Rs 70 Crores from 2018 to 2019.
    6. The sales amounts in the Home Decor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.
    7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
    8. The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

    What was the increase in sales amount, in Crore Rupees, in the Apparel department of Mumbai from 2018 to 2019?

    Answer options
    Option 4
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 19

    Q20:

    CAT 2020 Slot 2

    Tables

    Medium

    A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments - 'Apparel', 'Electronics', and 'HomeDecor'. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the following table.

    DelhiMumbaiBengaluruKolkata
    Sales Amounts (Crore Rupees)20182019201820192018201920182019
    Apparels54
    Electronics789882102907080100
    Home Decor100728054


    The following additional information is known.
    1. The sales amounts in the Apparel departments were the same for Delhi and Kolkata in2018.
    2. The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in2019.
    3. The sales amounts in the Home Decor departments were the same for Mumbai and Kolkata in 2018.
    4. The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
    5. The total sales amounts of the four Home Decor departments increased by Rs 70 Crores from 2018 to 2019.
    6. The sales amounts in the Home Decor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.
    7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
    8. The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

    Among all the 12 departments (i.e., the 3 departments in each of the 4 cities), what was the maximum percentage increase in sales amount from 2018 to 2019?

    Answer options
    Option 2
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 20

    Q21:

    CAT 2020 Slot 2

    Tables

    Medium

    A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments - 'Apparel', 'Electronics', and 'HomeDecor'. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the following table.

    DelhiMumbaiBengaluruKolkata
    Sales Amounts (Crore Rupees)20182019201820192018201920182019
    Apparels54
    Electronics789882102907080100
    Home Decor100728054


    The following additional information is known.
    1. The sales amounts in the Apparel departments were the same for Delhi and Kolkata in2018.
    2. The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in2019.
    3. The sales amounts in the Home Decor departments were the same for Mumbai and Kolkata in 2018.
    4. The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
    5. The total sales amounts of the four Home Decor departments increased by Rs 70 Crores from 2018 to 2019.
    6. The sales amounts in the Home Decor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.
    7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
    8. The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

    What was the total sales amount, in Crore Rupees, in 2019 for the chain of departmental stores?

    Answer options
    Option 4
    Correct Answer
    Explanation for CAT 2020 Slot 2 DILR question 21

    Q22:

    CAT 2019 Slot 1

    Tables

    Hard

    The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.

    The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.

    The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r-1) states/UTs having a larger number of cases registered in the same category. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.

    IPC CrimesSLL CrimesOther Crimes
    Delhi***
    Goa*4*
    Haryana86*
    Karnataka32*
    Kerala*9*
    Maharashtra348
    Puducherry1329*
    Tamil Nadu117*
    Telangana698
    West Bengal17*16

    What is the rank of Kerala in the 'IPC crimes' category?

    Q23:

    CAT 2019 Slot 1

    Tables

    Hard

    The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.

    The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.

    The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r-1) states/UTs having a larger number of cases registered in the same category. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.

    IPC CrimesSLL CrimesOther Crimes
    Delhi***
    Goa*4*
    Haryana86*
    Karnataka32*
    Kerala*9*
    Maharashtra348
    Puducherry1329*
    Tamil Nadu117*
    Telangana698
    West Bengal17*16

    In the two states where the highest total number of cases are registered, the ratio of the total number of cases in IPC crimes to the total number in SLL crimes is closest to

    Answer options
    Option 3
    Correct Answer
    Explanation for CAT 2019 Slot 1 DILR question 23

    Q24:

    CAT 2019 Slot 1

    Tables

    Hard

    The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.

    The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.

    The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r-1) states/UTs having a larger number of cases registered in the same category. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.

    IPC CrimesSLL CrimesOther Crimes
    Delhi***
    Goa*4*
    Haryana86*
    Karnataka32*
    Kerala*9*
    Maharashtra348
    Puducherry1329*
    Tamil Nadu117*
    Telangana698
    West Bengal17*16

    Which of the following is DEFINITELY true about the ranks of states/UT in the ‘other crimes’ category?

    i) Tamil Nadu: 2

    ii) Puducherry: 3

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT 2019 Slot 1 DILR question 24

    Q25:

    CAT 2019 Slot 1

    Tables

    Hard

    The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.

    The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.

    The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r-1) states/UTs having a larger number of cases registered in the same category. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.

    IPC CrimesSLL CrimesOther Crimes
    Delhi***
    Goa*4*
    Haryana86*
    Karnataka32*
    Kerala*9*
    Maharashtra348
    Puducherry1329*
    Tamil Nadu117*
    Telangana698
    West Bengal17*16

    What is the sum of the ranks of Delhi in the three categories of crimes?

    Q26:

    CAT 2018 Slot 2

    Tables

    Medium

    The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates.

    A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

    The following facts are known about the outlet on a particular day:

    1. The amount of L used by the outlet to buy C equals the amount of L it received by selling C.
    1. The amounts of L used by the outlet to buy A and B are in the ratio 5:3.
    1. The amounts of L the outlet received from the sales of A and B are in the ratio 5:9.
    1. The outlet received 88000 units of L by selling A during the day.
    1. The outlet started the day with some amount of L, 2500 units of A, 4800 units of B, and 48000 units of C.
    1. The outlet ended the day with some amount of L, 3300 units of A, 4800 units of B, and 51000 units of C.

    How many units of currency A did the outlet buy on that day?

    Q27:

    CAT 2018 Slot 2

    Tables

    Medium

    The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates.

    A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

    The following facts are known about the outlet on a particular day:

    1. The amount of L used by the outlet to buy C equals the amount of L it received by selling C.
    1. The amounts of L used by the outlet to buy A and B are in the ratio 5:3.
    1. The amounts of L the outlet received from the sales of A and B are in the ratio 5:9.
    1. The outlet received 88000 units of L by selling A during the day.
    1. The outlet started the day with some amount of L, 2500 units of A, 4800 units of B, and 48000 units of C.
    1. The outlet ended the day with some amount of L, 3300 units of A, 4800 units of B, and 51000 units of C.

    How many units of currency C did the outlet sell on that day?

    Answer options
    Option 4
    Correct Answer
    Explanation for CAT 2018 Slot 2 DILR question 27

    Q28:

    CAT 2018 Slot 2

    Tables

    Medium

    The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates.

    A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

    The following facts are known about the outlet on a particular day:

    1. The amount of L used by the outlet to buy C equals the amount of L it received by selling C.
    1. The amounts of L used by the outlet to buy A and B are in the ratio 5:3.
    1. The amounts of L the outlet received from the sales of A and B are in the ratio 5:9.
    1. The outlet received 88000 units of L by selling A during the day.
    1. The outlet started the day with some amount of L, 2500 units of A, 4800 units of B, and 48000 units of C.
    1. The outlet ended the day with some amount of L, 3300 units of A, 4800 units of B, and 51000 units of C.

    What was the base exchange rate of currency B with respect to currency L on that day?

    Q29:

    CAT 2018 Slot 2

    Tables

    Medium

    The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates.

    A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

    The following facts are known about the outlet on a particular day:

    1. The amount of L used by the outlet to buy C equals the amount of L it received by selling C.
    1. The amounts of L used by the outlet to buy A and B are in the ratio 5:3.
    1. The amounts of L the outlet received from the sales of A and B are in the ratio 5:9.
    1. The outlet received 88000 units of L by selling A during the day.
    1. The outlet started the day with some amount of L, 2500 units of A, 4800 units of B, and 48000 units of C.
    1. The outlet ended the day with some amount of L, 3300 units of A, 4800 units of B, and 51000 units of C.

    What was the buying exchange rate of currency C with respect to currency L on that day?

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT 2018 Slot 2 DILR question 29

    Q30:

    CAT 2018 Slot 2

    Tables

    Medium

    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:

    BrandMarket Share (%)Unit Selling Price (Rs.)Profitability (%)
    Azra4015,00010
    Bysi2520,00030
    Cxqi1530,00040
    Dipq2025,00030

    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:

    Answer options
    Option 1
    Correct Answer
    Explanation for CAT 2018 Slot 2 DILR question 30