Q1:

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 profit in 2016 is:

Answer options
Option 4
Correct Answer
Explanation for CAT 2018 Slot 2 DILR question 1

Q2:

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 profit in 2017 is:

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

Q3:

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 complete list of brands whose profits went up in 2017 from 2016 is:

Answer options
Option 2
Correct Answer
Explanation for CAT 2018 Slot 2 DILR question 3

Q4:

CAT 2018 Slot 2

Tables

Medium

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:

RangeAccreditation
Overall score ≥ 45AAA
35 ≤ Overall score < 45BAA
25 ≤ Overall score < 35BBA
15 ≤ Overall score < 25BBB
Overall score < 15Junk

Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):

FRPI
A-oneAAAB
Best EdBCDD
CosmopolitanBDDC
DominanceDDBC
Education AidAABA
FancyAABB
GlobalCFDD
High QCDDB

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; and
  3. Education Aid is better than A-one.

What is the weight of the faculty quality parameter?

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

Q5:

CAT 2018 Slot 2

Tables

Medium

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:

RangeAccreditation
Overall score ≥ 45AAA
35 ≤ Overall score < 45BAA
25 ≤ Overall score < 35BBA
15 ≤ Overall score < 25BBB
Overall score < 15Junk

Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):

FRPI
A-oneAAAB
Best EdBCDD
CosmopolitanBDDC
DominanceDDBC
Education AidAABA
FancyAABB
GlobalCFDD
High QCDDB

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; and
  3. Education Aid is better than A-one.

What is the highest overall score among the eight colleges?

Q6:

CAT 2018 Slot 2

Tables

Medium

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:

RangeAccreditation
Overall score ≥ 45AAA
35 ≤ Overall score < 45BAA
25 ≤ Overall score < 35BBA
15 ≤ Overall score < 25BBB
Overall score < 15Junk

Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):

FRPI
A-oneAAAB
Best EdBCDD
CosmopolitanBDDC
DominanceDDBC
Education AidAABA
FancyAABB
GlobalCFDD
High QCDDB

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; and
  3. Education Aid is better than A-one.

How many colleges have overall scores between 31 and 40, both inclusive?

Answer options
Option 4
Correct Answer
Explanation for CAT 2018 Slot 2 DILR question 6