CAT 2022 · Slot 2 — Data Interpretation & Logical Reasoning

All 20 DILR questions from the CAT 2022 · Slot 2 paper, with the correct answer for each.

Questions 1–5

TRICCEK salesmen. Each day a salesman visits one housing complex and may meet any number of households until one household complains (then he must leave for the day). Success rate (day) = items sold / households met. Three salesmen Tohri (T), Hokli (H), Lahur (L) over two days. (1) Each met the same 2-day total of households and each sold 100 items in total. (2) Lahur met the same number and sold the same number each day. (3) Hokli sold nothing on day 2 (his first day-2 household complained, so he met just 1). (4) Tohri met 30 more households on day 2 than day 1. (5) Tohri day-1 rate = 2x Lahur's; Tohri day-2 rate = 0.75x Lahur's.

Question 1

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

Correct answer: 84

Question 2

How many TRICCEK items were sold by Tohri on the first day? (in numerical value only)

Correct answer: 40

Question 3

How many households did Lahur meet on the second day?

  1. Between 21 and 29
  2. 20 or less
  3. More than 35
  4. Between 30 and 35

Correct answer: A · Between 21 and 29

Question 4

How many households did Tohri meet on the first day?

  1. Between 21 and 40
  2. Between 11 and 20
  3. More than 40
  4. 10 or less

Correct answer: D · 10 or less

Question 5

Which of the following statements is FALSE?

  1. Among the three, Tohri had the highest success rate on the second day.
  2. Tohri had a higher success rate on the first day compared to the second day.
  3. Among the three, Tohri had the highest success rate on the first day.
  4. Among the three, Lahur had the lowest success rate on the first day.

Correct answer: A · Among the three, Tohri had the highest success rate on the second day.

Questions 6–10

Warehouse W supplies widgets daily to A (Ahmednagar), B (Bikrampore), C (Chitrachak), D (Deccan Park). Demand/probability: A 50(40%)/70(60%); B 40(30%)/60(70%); C 70(30%)/100(70%); D 30(40%)/50(60%). There is no direct A-C or B-D road, so those legs go via W (A-C = 17, B-D = 12); every leg takes the shorter of direct vs via-W. The route starts at W and visits all four locations once, in strictly decreasing order of demand (ties broken by choosing the nearer location).

Question 6

If the last location visited is Ahmednagar, then what is the total distance covered in the route (in km)? (numerical value only)

Correct answer: 35

Question 7

If the total number of widgets delivered in a day is 250 units, then what is the total distance covered in the route (in km)? (in
numerical value only)

Correct answer: 38

Question 8

What is the chance that the total number of widgets delivered in a day is 260 units and the route ends at Bikrampore?

  1. 33.33%
  2. 10.80%
  3. 17.64%
  4. 7.56%

Correct answer: D · 7.56%

Question 9

If the first location visited from the warehouse is Ahmednagar, then what is the chance that the total distance covered in the
route is 40 km?

  1. 18%
  2. 5.4%
  3. 3.24%
  4. 30%

Correct answer: A · 18%

Question 10

If Ahmednagar is not the first location to be visited in a route and the total route distance is 29 km, then which of the following
is a possible number of widgets delivered on that day?

  1. 210
  2. 220
  3. 200
  4. 250

Correct answer: A · 210

Questions 11–15

Two scatter plots for companies A, B, C, D over 2019-2021. Plot 1 (Revenue x, Cost y, Rs cr): Profit = revenue - cost. Plot 2 (Employee strength x = headcount at start of year, New hires y): Employees lost in a year = start + hires - next-year start.

Question 11

Considering all three years, which company had the highest annual profit?

  1. Company A
  2. Company D
  3. Company B
  4. Company C

Correct answer: D · Company C

Question 12

Which of the four companies experienced the highest annual loss in any of the years?

  1. Company C
  2. Company A
  3. Company B
  4. Company D

Correct answer: D · Company D

Question 13

The ratio of a company's annual profit to its annual costs is a measure of its performance. Which of the four companies had the
lowest value of this ratio in 2019?

  1. Company A
  2. Company D
  3. Company B
  4. Company C

Correct answer: A · Company A

Question 14

The total number of employees lost in 2019 and 2020 was the least for:

  1. Company B
  2. Company D
  3. Company A
  4. Company C

Correct answer: A · Company B

Question 15

Profit per employee is the ratio of a company's profit to its employee strength. For this purpose, the employee strength in a
year is the average of the employee strength at the beginning of that year and the beginning of the next year. In 2020, which of
the four companies had the highest profit per employee?
Actual CAT 2022 Slot II

  1. Company D
  2. Company C
  3. Company B
  4. Company A

Correct answer: C · Company B

Questions 16–20

A speciality supermarket sells 320 products; each product is cosmetic OR nutrition, and foreign OR domestic, and carries at least one approval (FDA or EU). (1) domestic = foreign = 160. (2) domestic FDA-cosmetic = 80. (3) no foreign product has BOTH approvals; 60 domestic products have both. (4) 140 nutrition products, half (70) foreign. (5) 200 FDA-approved products: 70 foreign, 120 cosmetic.

Question 16

How many foreign products were FDA approved cosmetic products? (numerical value only)

Correct answer: 40

Question 17

How many cosmetic products did not have FDA approval?

  1. 10
  2. Cannot be determined
  3. 50
  4. 60

Correct answer: D · 60

Question 18

Which among the following options best represents the number of domestic cosmetic products that had both the approvals?

  1. At least 10 and at most 60
  2. At least 10 and at most 80
  3. At least 20 and at most 70
  4. At least 20 and at most 50

Correct answer: A · At least 10 and at most 60

Question 19

If 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?

  1. 50
  2. 30
  3. 10
  4. 20

Correct answer: C · 10

Question 20

If 50 nutrition products did not have EU approval, then how many domestic cosmetic products did not have EU approval? (in
numerical value only)

Correct answer: 50