CAT 2022 Slot 3 DILR Set 3 Q11–Q15

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2022 Slot 3, with 5 questions (Charts & Tables). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

In the following, a year corresponds to 1st of January of that year.

A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50.

The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.

[Figure in the original paper]

Question 11

In 2000, what was the ratio of the number of dead males to dead females among those being tracked?
  1. A
    109 : 107
  2. B
    129 : 131
  3. C
    71 : 69
  4. D
    41 : 43

Answer: (C) 71 : 69 Quant-based Puzzles MCQ

Solution

  1. Males alive in 2000: \(180+205+160+100=645\), so \(1000-645=355\) dead.
  2. Females alive in 2000: \(210+175+150+120=655\), so 345 dead.
  3. Ratio \(355:345=71:69\).

Question 12

How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?
  1. A
    90
  2. B
    190
  3. C
    110
  4. D
    310

Answer: (B) 190 Quant-based Puzzles MCQ

Solution

  1. Each 1980 cohort ages by 10 years per snapshot: 1980 ages 10-20 become 20-30 (1990), 30-40 (2000), 40-50 (2010), 50-60 (2020), and so on for the older cohorts.
  2. Those aged 30-40 in 1980 are aged 60-70 in 2010.
  3. Survivors: \(90\) males \(+\ 100\) females \(=190\).

Question 13

How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?
  1. A
    470
  2. B
    580
  3. C
    240
  4. D
    230

Answer: (A) 470 Charts & Tables MCQ

Solution

  1. Each 1980 cohort ages by 10 years per snapshot: 1980 ages 10-20 become 20-30 (1990), 30-40 (2000), 40-50 (2010), 50-60 (2020), and so on for the older cohorts.
  2. Those under 30 in 1980 (ages 10-30) are aged 50-70 in 2020.
  3. Survivors: \(140+100+125+105=470\).

Question 14

How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010?

TITA: type in the answer. There are no options and no negative marking.

Answer: 40 Charts & Tables TITA

Solution

  1. Each 1980 cohort ages by 10 years per snapshot: 1980 ages 10-20 become 20-30 (1990), 30-40 (2000), 40-50 (2010), 50-60 (2020), and so on for the older cohorts.
  2. Males aged 20-30 in 1980 are aged 40-50 in 2000 (205 alive) and 50-60 in 2010 (165 alive).
  3. Died between 2000 and 2010: \(205-165=40\).

Question 15

How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?

TITA: type in the answer. There are no options and no negative marking.

Answer: 30 Charts & Tables TITA

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