CAT 2019 Question Paper | CAT LR DI

CAT Question Paper | CAT Previous Year Paper

CAT DI LR section has become increasingly tough beginning from 2015. DILR used to have distinct Data Interpretation sets and Logical reasoning puzzles. It used to be about computation and ability to read charts, graphs and tables for the Data Interpretation and Logical reasoning used to have Family tree, grid puzzles, arrangement, tournaments, cubes as some standard forms of puzzles.Since 2015 this pattern has been broken. With passing years, even the distinction between DI and LR has come down significantly. All you get in that one hour, are 8 high quality puzzles, with more than a few of them being significantly tough. Between CAT 2017 Question paper , CAT 2018 Question paper,CAT 2019 Question paper, you get to solve 48 actual CAT puzzles. This page intends to provide you just that. So, head on and crack those puzzles!

CAT DILR : CAT 2019 Question Paper Slot 2

Set 1: Languages spoken

In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.
CAT DI LR 2019 Slot 2
These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.
The following facts are known.

(1) Each team speaks exactly four languages and has the same number of members.
(2) English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.
(3) None of the teams include both Quentin and Robert.
(4) Paula and Sally are together in exactly two teams.
(5) Robert is in Team 1 and Quentin is in Team 3.

  1. CAT Previous year paper - CAT Exam DI LR

    Who among the following four is not a member of Team 2?

    1. Sally
    2. Paula
    3. Quentin
    4. Terence
    Choice 2
    Quentin

  2. CAT Previous year paper - CAT Exam DI LR

    Who among the following four people is a part of exactly two teams?

    1. Sally
    2. Quentin
    3. Robert
    4. Paula
    Choice A
    Sally

  3. CAT Previous year paper - CAT Exam DI LR

    Who among the five people is a member of all teams?

    1. No one
    2. Terence
    3. Sally
    4. Paula
    Choice D
    Paula

  4. CAT Previous year paper - CAT Exam DI LR

    Apart from Chinese and English, which languages are spoken by Team 1?

    1. Basque and French
    2. Arabic and French
    3. Basque and Dutch
    4. Arabic and Basque
    Choice B
    Arabic and French

Set 2 : Rainfall

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 16 states. The figure given below shows the actual rainfall (measured in mm) during June-August, 2019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure.
CAT DI LR 2019 Slot 2

  1. CAT Previous year paper - CAT Exam DI LR

    If a ‘Heavy Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of ‘Heavy Monsoon States’ have a negative deviation from respective LPAs in 2019?

    1. 75.00
    2. 57.14
    3. 42.86
    4. 14.29
    Choice C
    42.86

  2. CAT Previous year paper - CAT Exam DI LR

    If a ‘Low Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median ‘deviation from LPA’ (as defined in the Y-axis of the figure) of ‘Low Monsoon States’?

    1. -30%
    2. 10%
    3. -20%
    4. -10%
    Choice D
    -10%

  3. CAT Previous year paper - CAT Exam DI LR

    What is the average rainfall of all states that have actual rainfall of 600 mm or less in 2019 and have a negative deviation from LPA?

    1. 450 mm
    2. 367 mm
    3. 460 mm
    4. 500 mm
    Choice C
    460 mm

  4. CAT Previous year paper - CAT Exam DI LR

    SThe LPA of a state for a year is defined as the average rainfall in the preceding 10 years considering the period of June-August. For example, LPA in 2018 is the average rainfall during 2009-2018 and LPA in 2019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 2019 is closest to

    1. 475 mm
    2. 490 mm
    3. 505 mm
    4. 525 mm
    Choice B
    490 mm

Set 3 : Students & Proposals

Students in a college are discussing two proposals --
A: a proposal by the authorities to introduce dress code on campus, and
B: a proposal by the students to allow multinational food franchises to set up outlets on college campus.

A student does not necessarily support either of the two proposals. In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.

A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
1) 250 students supported proposal A and 250 students supported proposal B.
2) Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.
3) Among those who preferred Ragini, 30% supported proposal A.
4) 20% of those who supported proposal B preferred Sunita.
5) 40% of those who did not support proposal B preferred Ragini.
6) Every student who preferred Sunita and supported proposal B also supported proposal A.
7) Among those who preferred Ragini, 20% did not support any of the proposals.

  1. CAT Previous year paper - CAT Exam DI LR

    Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president? [TITA]

    64

  2. CAT Previous year paper - CAT Exam DI LR

    What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president? [TITA]

    84

  3. CAT Previous year paper - CAT Exam DI LR

    What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?

    1. 25
    2. 50
    3. 40
    4. 20
    Choice B
    50

  4. CAT Previous year paper - CAT Exam DI LR

    How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?

    1. 40
    2. 210
    3. 200
    4. 150
    Choice D
    150

Set 4 : Three doctors

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table.

CAT DI LR 2019 Slot 2

The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday. On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.

  1. CAT Previous year paper - CAT Exam DI LR

    What is the maximum number of patients that the clinic can cater to on any single day?

    1. 15
    2. 30
    3. 31
    4. 12
    Choice C
    31

  2. CAT Previous year paper - CAT Exam DI LR

    The queue is never empty on one particular Saturday. Which of the three doctors would earn the maximum amount in consultation charges on that day?

    1. Dr. Kane
    2. Dr. Wayne
    3. Dr. Ben
    4. Both Dr. Wayne and Dr. Kane
    Choice A
    Dr. Kane

  3. CAT Previous year paper - CAT Exam DI LR

    Mr. Singh visited the clinic on Monday, Wednesday, and Friday of a particular week, arriving at 8:50 a.m. on each of the three days. His token number was 13 on all three days. On which day was he at the clinic for the maximum duration?

    1. Friday
    2. Wednesday
    3. Same duration on all three days
    4. Monday
    Choice D
    Monday

  4. CAT Previous year paper - CAT Exam DI LR

    On a slow Thursday, only two patients are waiting at 9 a.m. After that two patients keep arriving at exact 15 minute intervals starting at 9:15 a.m. -- i.e. at 9:15 a.m., 9:30 a.m., 9:45 a.m. etc. Then the total duration in minutes when all three doctors are simultaneously free is

    1. 30
    2. 10
    3. 15
    4. 0
    Choice D
    0

Set 5 : Three pouches

CAT DI LR 2019 Slot 2 CAT DI LR 2019 Slot 2

Three pouches (each represented by a filled circle) are kept in each of the nine slots in a 3 × 3 grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8.

There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4.

  1. CAT Previous year paper - CAT Exam DI LR

    What is the total amount of money (in rupees) in the three pouches kept in the first column of the second row? [TITA]

    13

  2. CAT Previous year paper - CAT Exam DI LR

    How many pouches contain exactly one coin? [TITA]

    8

  3. CAT Previous year paper - CAT Exam DI LR

    What is the number of slots for which the average amount (in rupees) of its three pouches is an integer? [TITA]

    2

  4. CAT Previous year paper - CAT Exam DI LR

    The number of slots for which the total amount in its three pouches strictly exceeds Rs. 10 is [TITA]

    3

Set 6 : MT & ET

The first year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15-mark questions followed the 10-mark questions.

The following additional facts are known.

i. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.
ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT.
iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET.
iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both.
v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

  1. CAT Previous year paper - CAT Exam DI LR

    The second question in ET was prepared by:

    1. Eshan
    2. Chetan
    3. Dave
    4. Beti
    Choice C
    Dave

  2. CAT Previous year paper - CAT Exam DI LR

    How many 5‐mark questions were there in MT and ET combined?

    1. Cannot be determined
    2. 12
    3. 10
    4. 13
    Choice D
    13

  3. CAT Previous year paper - CAT Exam DI LR

    Who prepared 15-mark questions for MT and ET?

    1. Only Dave, Esha and Fakir
    2. Only Beti, Dave, Esha and Fakir
    3. Only Esha and Fakir
    4. Only Dave and Fakir
    Choice A
    Only Dave, Esha and Fakir

  4. CAT Previous year paper - CAT Exam DI LR

    Which of the following questions did Beti prepare in ET?

    1. Ninth question
    2. Tenth question
    3. Fourth question
    4. Seventh question
    Choice B
    Tenth question

Set 7 : Rifle Shooting

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on.

CAT DI LR 2019 Slot 2

The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10.

The following information is known about Rounds 1 through 6:
1. Gordon did not score consecutively in any two rounds.
2. Eric and Fatima both scored in a round.

The following information is known about Rounds 7 through 10:
1. Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.
2. Joshin scored in Round 7, while Amita scored in Round 10.
3. No player scored in all the four rounds.

  1. CAT Previous year paper - CAT Exam DI LR

    What were the scores of Chen, David, and Eric respectively after Round 3?

    1. 3, 0, 3
    2. 3, 3, 0
    3. 3, 3, 3
    4. 3, 6, 3
    Choice C
    3, 3, 3

  2. CAT Previous year paper - CAT Exam DI LR

    Which three players were in the last three positions after Round 4?

    1. Hansa, Ikea, Joshin
    2. Bala, Chen, Gordon
    3. Bala, Ikea, Joshin
    4. Bala, Hansa, Ikea
    Choice A
    Hansa, Ikea, Joshin

  3. CAT Previous year paper - CAT Exam DI LR

    Which player scored points in maximum number of rounds?

    1. Joshin
    2. Chen
    3. Ikea
    4. Amita
    Choice C
    Ikea

  4. CAT Previous year paper - CAT Exam DI LR

    Which players scored points in the last round?

    1. Amita, Bala, Chen
    2. Amita, Chen, David
    3. Amita, Eric, Joshin
    4. Amita, Chen, Eric
    Choice D
    Amita, Chen, Eric

Set 8 : Revenue & Cost

A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.

CAT DI LR 2019 Slot 2

In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.
It is known that
1. The percentage profit for the store in 2016 was 100%.
2. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018.
3. There was no profit from the Electronics department in 2017.
4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

  1. CAT Previous year paper - CAT Exam DI LR

    What was the percentage profit of the store in 2018? [TITA]

    25

  2. CAT Previous year paper - CAT Exam DI LR

    What was the ratio of revenue generated from the Produce department In 2017 to that in 2018?

    1. 8 : 5
    2. 16 : 9
    3. 4 : 3
    4. 9 : 16
    Choice A
    8 : 5

  3. CAT Previous year paper - CAT Exam DI LR

    What percentage of the total profits for the store in 2016 was from the Electronics department? [TITA]

    70

  4. CAT Previous year paper - CAT Exam DI LR

    What was the approximate difference in profit percentages of the store in 2017 and 2018?

    1. 8.3
    2. 33.3
    3. 25.0
    4. 15.5
    Choice A
    8.3

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