CAT 2018 Question Paper | CAT LR DI
CAT Question Paper | CAT Previous Year Paper
CAT DI LR section has become increasingly tough from 2015. DILR used to have distinct Data Interpretation sets and Logical reasoning puzzles. It used to be about computation and the 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. Slot 2 of the 2018 CAT previous year paper was indeed on the difficult side with two sets hitting the zenith of the toughness. Nonetheless, there were a couple of pretty doable sets with easy questions. Furthermore, the CAT question paper had 4 TITA-type questions with varying difficulty levels. Moreover, there was some involvement of quant topics like ratios and set theory with complex computations. Nail your online CAT preparation by smashing the DILR section of the CAT 2018 question paper.
CAT DILR : CAT 2018 Question Paper Slot 2
Set 1: College Accreditation
An agency entrusted to accredit colleges looks at four parameters: faculty quality
(F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used
to arrive at an overall score, which the agency uses to give an accreditation to the colleges.
In each parameter, there are five possible letter grades given, each carrying certain points: A
(50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score
for a college is the weighted sum of the points scored in the four parameters. The weights of
the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed.
Accreditation is awarded based on the following scheme:
Eight colleges apply for
accreditation, and receive the following grades in the four parameters (F, R, P, and I):
It is further known that in terms of overall scores:
1. High Q is better than Best Ed.
2. Best Ed is better than Cosmopolitan.
3. Education Aid is better than A-one.
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CAT Previous year paper - CAT Exam DI LR
What is the weight of the faculty quality parameter?
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CAT Previous year paper - CAT Exam DI LR
How many colleges receive the accreditation of AAA? [TITA]
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CAT Previous year paper - CAT Exam DI LR
What is the highest overall score among the eight colleges? [TITA]
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CAT Previous year paper - CAT Exam DI LR
How many colleges have overall scores between 31 and 40, both inclusive?
Set 2 : Smartphones
There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and
Dipq in a country. Details about their market share, unit selling price, and profitability
(defined as the profit as a percentage of the revenue) for the year 2016 are given in the table
below:
In 2017, sales volume of entry level
smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit
selling price in 2017, which resulted in a 15% increase in its market share. Each of the other
three brands lost 5% market share. However, the profitability of Cxqi came down to half of its
value in 2016. The unit selling prices of the other three brands and their profitability values
remained the same in 2017 as they were in 2016.
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CAT Previous year paper - CAT Exam DI LR
The brand that had the highest revenue in 2016 is:
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CAT Previous year paper - CAT Exam DI LR
The brand that had the highest profit in 2016 is:
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CAT Previous year paper - CAT Exam DI LR
The brand that had the highest profit in 2017 is:
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CAT Previous year paper - CAT Exam DI LR
The complete list of brands whose profits went up in 2017 from 2016 is:
Set 3 : Fun Sports Club
Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K),
and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least
one of the three sports. The following details are known:
1. The number of students enrolled
only in L is double the number of students enrolled in all the three sports.
2. There are a
total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less
than the number of students enrolled only in L.
4. The number of students enrolled only in K
is equal to the number of students who are enrolled in both K and L.
5. The maximum student
enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more
sport.
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CAT Previous year paper - CAT Exam DI LR
What is the minimum number of students enrolled in both G and L but not in K? [TITA]
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CAT Previous year paper - CAT Exam DI LR
If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?
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CAT Previous year paper - CAT Exam DI LR
Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and K? [TITA]
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CAT Previous year paper - CAT Exam DI LR
Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one.After the withdrawal, how many students were enrolled in both G and L?
Set 4 : Products and Companies
Each of the 23 boxes in the picture below represents a product manufactured by one
of the following three companies: Alfa, Bravo and Charlie. The area of a box is proportional to
the revenue from the corresponding product, while its centre represents the Product popularity
and Market potential scores of the product (out of 20). The shadings of some of the boxes have
got erased.
The companies classified their products into four
categories based on a combination of scores (out of 20) on the two parameters - Product
popularity and Market potential as given below:
The following facts are
known:
1. Alfa and Bravo had the same number of products in the Blockbuster category.
2.
Charlie had more products than Bravo but fewer products than Alfa in the No-hope category.
3. Each company had an equal number of products in the Promising category.
4. Charlie did
not have any product in the Doubtful category, while Alfa had one product more than Bravo in
this category.
5. Bravo had a higher revenue than Alfa from products in the Doubtful
category.
6. Charlie had a higher revenue than Bravo from products in the Blockbuster
category.
7. Bravo and Charlie had the same revenue from products in the No-hope
category.
8. Alfa and Charlie had the same total revenue considering all products.
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CAT Previous year paper - CAT Exam DI LR
Considering all companies products, which product category had the highest revenue?
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CAT Previous year paper - CAT Exam DI LR
Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively?
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CAT Previous year paper - CAT Exam DI LR
Which of the following statements is NOT correct?
- Alfa's revenue from Blockbuster products was the same as Charlie's revenue from Promising products.
- Bravo's revenue from Blockbuster products was greater than Alfa's revenue from Doubtful products.
- The total revenue from No-hope products was less than the total revenue from Doubtful products.
- Bravo and Charlie had the same revenues from No-hope products.
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CAT Previous year paper - CAT Exam DI LR
If the smallest box on the grid is equivalent to revenue of Rs.1 crore, then what approximately was the total revenue of Bravo in Rs. crore?
Set 5 : Amusement Park Tickets
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum,
Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are
known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2.
The number of Middle-aged visitors was twice the number of Old visitors, while the number of
Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of
the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets
that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number
of Economy tickets bought by Old visitors.
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CAT Previous year paper - CAT Exam DI LR
If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold?
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CAT Previous year paper - CAT Exam DI LR
If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number Middle-aged visitors buying Gold tickets was [TITA]
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CAT Previous year paper - CAT Exam DI LR
If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was [TITA]
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CAT Previous year paper - CAT Exam DI LR
Which of the following statements MUST be FALSE?
- The numbers of Gold and Platinum tickets bought by Young visitors were equal
- The numbers of Middle-aged and Young visitors buying Gold tickets were equal
- The numbers of Old and Middle-aged visitors buying Economy tickets were equal
- The numbers of Old and Middle-aged visitors buying Platinum tickets were equal
Set 6 : Job Interview
Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were
invited to interview for a position. Candidates were required to reach the venue before 8 am.
Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The
following venue log shows the arrival times for these candidates. Some of the names have not
been recorded in the log and have been marked as ‘?’.
Additionally here are some
statements from the candidates:
Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only
person in the room I was allotted to.
Fatima: Three people including Akil were already in
the room that I was allotted to when I entered it.
Ganeshan: I was one among the two
candidates allotted to Room 102.
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CAT Previous year paper - CAT Exam DI LR
What best can be said about the room to which Divya was allotted?
- Either Room 101 or Room 102
- Definitely Room 103
- Definitely Room 101
- Definitely Room 102
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CAT Previous year paper - CAT Exam DI LR
Who else was in Room 102 when Ganeshan entered?
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CAT Previous year paper - CAT Exam DI LR
When did Erina reach the venue?
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CAT Previous year paper - CAT Exam DI LR
If Ganeshan entered the venue before Divya, when did Balaram enter the venue?
Set 7 : Letter Codes
According to a coding scheme the sentence,
Peacock is designated as the
national bird of India is coded as 5688999 35 1135556678 56 458 13666689 1334 79 13366
This
coding scheme has the following rules:
1. The scheme is case-insensitive (does not
distinguish between upper case and lower case letters).
2. Each letter has a unique code
which is a single digit from among 1,2,3,......,9.
3. The digit 9 codes two letters, and
every other digit codes three letters.
4. The code for a word is constructed by arranging
the digits corresponding to its letters in a non-decreasing sequence.
Answer these questions
on the basis of this information
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CAT Previous year paper - CAT Exam DI LR
What best can be concluded about the code for the letter L?
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CAT Previous year paper - CAT Exam DI LR
What best can be concluded about the code for the letter B?
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CAT Previous year paper - CAT Exam DI LR
For how many digits can the complete list of letters associated with that digit be identified?
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CAT Previous year paper - CAT Exam DI LR
Which set of letters CANNOT be coded with the same digit?
Set 8 : Currency Exchange
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.
2.
The amounts of L used by the outlet to buy A and B are in the ratio 5:3.
3. The amounts of L
the outlet received from the sales of A and B are in the ratio 5:9.
4. The outlet received
88000 units of L by selling A during the day.
5. The outlet started the day with some amount
of L, 2500 units of A, 4800 units of B, and 48000 units of C.
6. The outlet ended the day
with some amount of L, 3300 units of A, 4800 units of B,and 51000 units of C.
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CAT Previous year paper - CAT Exam DI LR
How many units of currency A did the outlet buy on that day? [TITA]
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CAT Previous year paper - CAT Exam DI LR
How many units of currency C did the outlet sell on that day?
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CAT Previous year paper - CAT Exam DI LR
What was the base exchange rate of currency B with respect to currency L on that day? [TITA]
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CAT Previous year paper - CAT Exam DI LR
What was the buying exchange rate of currency C with respect to currency L on that day?
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