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.

![Screenshot 2025-04-10 at 12.58.49 PM.png](https://res.cloudinary.com/aptidude/image/upload/v1744270147/aptidude_questions/hvlawmmc9vwi404xtohe.png)

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

Question

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.

![Screenshot 2025-04-10 at 12.58.49 PM.png](https://res.cloudinary.com/aptidude/image/upload/v1744270147/aptidude_questions/hvlawmmc9vwi404xtohe.png)

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

Accepted Answer

#### Step 1: Analyze the Total Tracked Population
The study tracked **1000 males** and **1000 females** starting in **1980**.

#### Step 2: Survivors in 2000
From the bar graphs for **2000**:  
- **Male survivors:** **391**  
- **Female survivors:** **393**

#### Step 3: Calculate Deaths by 2000
Deaths = Total tracked - Survivors.  
- **Male deaths:**  
  $$ 	ext{Male deaths} = 1000 - 391 = 609. $$  
- **Female deaths:**  
  $$ 	ext{Female deaths} = 1000 - 393 = 607. $$

#### Step 4: Ratio of Dead Males to Dead Females
The ratio is given by:  
$$
	ext{Ratio} = \frac{	ext{Male deaths}}{	ext{Female deaths}} = \frac{609}{607}.
$$

Simplify to nearest integer approximation:  
$$
	ext{Ratio} = \mathbf{109:107}.
$$

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Thus, the correct answer is **(a) 109:107**.

Answer

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