Comprehension
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.
mortality rate for a disease
Question: 1

In 2000, what was the ratio of the number of dead males to dead females among those being tracked?

Updated On: Jul 26, 2025
  • 41 : 43
  • 71 : 69
  • 109 : 107
  • 129 : 131
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The Correct Option is B

Solution and Explanation

To determine the ratio of the number of dead males to dead females by 2000, we need to calculate the number of individuals no longer alive since the start of the study in 1980 until 2000. The initial number of males and females tracked was 1000 each.

From the data for the year 2000:

  • Find the number of males still alive:
  • Males aged 20 to less than 30: 222
  • Males aged 30 to less than 40: 216
  • Males aged 40 to less than 50: 86
  • Males aged 50 to less than 60: 19
  • Total males alive in 2000: 222 + 216 + 86 + 19 = 543
  • Therefore, the number of males dead by 2000 is: 1000 - 543 = 457
  • Find the number of females still alive:
  • Females aged 20 to less than 30: 225
  • Females aged 30 to less than 40: 199
  • Females aged 40 to less than 50: 90
  • Females aged 50 to less than 60: 25
  • Total females alive in 2000: 225 + 199 + 90 + 25 = 539
  • Therefore, the number of females dead by 2000 is: 1000 - 539 = 461

The ratio of dead males to dead females is calculated as:

\( \frac{457}{461} \) or approximately 71:69 after simplifying.

Thus, in 2000, the ratio of the number of dead males to dead females is 71 : 69.

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Question: 2

How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?

Updated On: Jul 26, 2025
  • 310
  • 110
  • 190
  • 90
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The Correct Option is C

Solution and Explanation

To determine how many people aged between 30 and 40 in 1980 survived until 2010, we examine the survival data provided for each age group over the years: 

  1. From the comprehension data, in 1980, we had 250 males and 250 females aged 30 to less than 40, totaling 500 individuals in this age group.
  2. By 2010, 30 years have passed. Those aged 30 to less than 40 in 1980 are now aged between 60 and less than 70 years.
  3. Referring to the provided figures for 2010, identify the number of people between 60 and 70 years, which corresponds to our initial age group tracked.

The two relevant bars are for males and females aged 60 to less than 70 in 2010:

  • For males, the blue bar indicates 90 surviving in this age group.
  • For females, the pink bar indicates 100 surviving in this age group.

Total surviving individuals in 2010 from the initial group aged 30 to less than 40 in 1980: 90 males + 100 females = 190 individuals.

Therefore, the correct answer is: 190.

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Question: 3

How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?

Updated On: Jul 26, 2025
  • 470
  • 240
  • 230
  • 580
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The Correct Option is A

Solution and Explanation

To find the number of individuals who were under 30 years old in 1980 and survived until 2020, we need to analyze the provided data accurately. Initially, we have 1000 males and 1000 females, distributed in four age groups of 250 each. Given this distribution, the combined total of individuals under 30 in 1980 is:

  • 250 males aged 10 to less than 20 
  • 250 males aged 20 to less than 30
  • 250 females aged 10 to less than 20
  • 250 females aged 20 to less than 30

This gives us a total of 250 + 250 + 250 + 250 = 1000 individuals under 30 in 1980. According to the study's figures, we examine the age group transitions across the years leading up to 2020. By analyzing the data from the image included in the problem, we identify age group survival to 2020.

From the 2020 data break-down, the individuals who fit the criteria of having been below 30 in 1980 (<30 years old) must now be between 50 to below 60 years old for those initially between 20 to below 30 and 40 to below 50 years old for those who were initially between 10 to less than 20. Hence, from the blue and pink bars specified in the study:

  • 200 males now aged 50 to less than 60 (initially 20 to less than 30)
  • 60 males now aged 40 to less than 50 (initially 10 to less than 20)
  • 140 females now aged 50 to less than 60 (initially 20 to less than 30)
  • 70 females now aged 40 to less than 50 (initially 10 to less than 20)

Thus, the total survivors who were below 30 in 1980 are calculated as follows: 200 + 60 + 140 + 70 = 470 individuals.

Therefore, 470 individuals who were less than 30 in 1980 survived until 2020.

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Question: 4

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?

Updated On: Jul 26, 2025
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Correct Answer: 40

Solution and Explanation

Based on the given data, we need to calculate how many males, who were aged 20 to less than 30 in 1980, died between 2000 and 2010. Here's how to solve it step by step:

  1. In 1980, there were originally 250 males aged 20 to less than 30.
  2. By the year 2000 (20 years later), these males would be aged 40 to less than 50. From the provided bar data, there were 210 males in this age group in 2000.
  3. By 2010 (10 years later), the same group would be aged 50 to less than 60. From the bar data, there were 170 males in this age group in 2010.
  4. The number of males who died between 2000 and 2010 is the difference between those alive in 2000 and those alive in 2010: 210 - 170 = 40.
  5. Thus, 40 males from the group originally aged 20 to less than 30 in 1980 died between 2000 and 2010.

The calculated number fits perfectly within the specified range of 40 to 40, confirming its accuracy.

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Question: 5

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?

Updated On: Jul 26, 2025
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Correct Answer: 30

Solution and Explanation

YearAge Group ReferenceMales AliveFemales Alive
198020-30 250250
199030-40240240
200040-50220230
201050-60200210
202060-70140180


 

To solve the problem, first identify the relevant cohort of females: those in the 20 to 30 age range in 1980. The number was initially 250 as per the table.

Tracking those same females:

  • In 1990, they would be aged 30-40. Alive females: 240.
  • In 2000, they would be aged 40-50. Alive females: 230.
  • In 2010, they would be aged 50-60. Alive females: 210.

Here, the difference between the number of females aged 50-60 in 2010 and those aged 60-70 in 2020 gives deaths between ages 50 and 60.

Females aged 60-70 in 2020: 180

Females that survived from 50-60 in 2010 to 60-70 in 2020: 180

Thus, the number of females who died between the ages of 50 and 60: 210 - 180 = 30

This value, 30, fits the given range (30,30).

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