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Direction: The passengers travelled by an airline during the year 2008, consisted of 45% men, 35% women and the remaining children. Of the children, 40% were female and 60% male. Of the men, 10% were over the age of 60 yr and 25% below the age of 40 yr. Of the women, 20% were over the age of 60 yr and an equal number were under 40 yr of age. The number of men increased by 4% in 2009 and that of women increased by 6%. The number of passengers travelled in 2008 was 2,00,000.
Q. What percentage of passengers in 2009 consisted of children?
  • a)
    16%
  • b)
    20%
  • c)
    13%
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: The passengers travelled by an airline during the year 200...
It cannot be determined as we don’t have any data regarding the change in the total passengers or in the number of children.
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Community Answer
Direction: The passengers travelled by an airline during the year 200...
To solve this problem, we need to break down the information given and calculate the percentage of children among the passengers in 2009.

Given Information:
- In 2008, the passengers consisted of 45% men, 35% women, and the remaining children.
- Of the children, 40% were female and 60% male.
- Of the men, 10% were over the age of 60 years and 25% below the age of 40 years.
- Of the women, 20% were over the age of 60 years and an equal number were under 40 years of age.
- The number of men increased by 4% in 2009 and that of women increased by 6%.
- The total number of passengers traveled in 2008 was 200,000.

Step-by-Step Solution:
1. Calculate the number of men and women in 2008:
- Number of men = 45% of 200,000 = 0.45 * 200,000 = 90,000
- Number of women = 35% of 200,000 = 0.35 * 200,000 = 70,000

2. Calculate the number of children in 2008:
- Number of children = Total passengers - (Number of men + Number of women)
= 200,000 - (90,000 + 70,000) = 40,000

3. Calculate the number of male and female children:
- Number of male children = 60% of 40,000 = 0.60 * 40,000 = 24,000
- Number of female children = 40% of 40,000 = 0.40 * 40,000 = 16,000

4. Calculate the number of men and women in 2009:
- Number of men in 2009 = 90,000 + 4% of 90,000 = 90,000 + 0.04 * 90,000 = 93,600
- Number of women in 2009 = 70,000 + 6% of 70,000 = 70,000 + 0.06 * 70,000 = 74,200

5. Calculate the total number of passengers in 2009:
- Total passengers in 2009 = Number of men in 2009 + Number of women in 2009 + Number of children
= 93,600 + 74,200 + 40,000 = 207,800

6. Calculate the percentage of children in 2009:
- Percentage of children in 2009 = (Number of children / Total passengers in 2009) * 100
= (40,000 / 207,800) * 100 ≈ 19.24%

Answer:
Therefore, the percentage of passengers consisted of children in 2009 cannot be determined accurately.
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Direction: The passengers travelled by an airline during the year 2008, consisted of 45% men, 35% women and the remaining children. Of the children, 40% were female and 60% male. Of the men, 10% were over the age of 60 yr and 25% below the age of 40 yr. Of the women, 20% were over the age of 60 yr and an equal number were under 40 yr of age. The number of men increased by 4% in 2009 and that of women increased by 6%. The number of passengers travelled in 2008 was 2,00,000.Q. What percentage of passengers in 2009 consisted of children?a)16%b)20%c)13%d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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Direction: The passengers travelled by an airline during the year 2008, consisted of 45% men, 35% women and the remaining children. Of the children, 40% were female and 60% male. Of the men, 10% were over the age of 60 yr and 25% below the age of 40 yr. Of the women, 20% were over the age of 60 yr and an equal number were under 40 yr of age. The number of men increased by 4% in 2009 and that of women increased by 6%. The number of passengers travelled in 2008 was 2,00,000.Q. What percentage of passengers in 2009 consisted of children?a)16%b)20%c)13%d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Direction: The passengers travelled by an airline during the year 2008, consisted of 45% men, 35% women and the remaining children. Of the children, 40% were female and 60% male. Of the men, 10% were over the age of 60 yr and 25% below the age of 40 yr. Of the women, 20% were over the age of 60 yr and an equal number were under 40 yr of age. The number of men increased by 4% in 2009 and that of women increased by 6%. The number of passengers travelled in 2008 was 2,00,000.Q. What percentage of passengers in 2009 consisted of children?a)16%b)20%c)13%d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: The passengers travelled by an airline during the year 2008, consisted of 45% men, 35% women and the remaining children. Of the children, 40% were female and 60% male. Of the men, 10% were over the age of 60 yr and 25% below the age of 40 yr. Of the women, 20% were over the age of 60 yr and an equal number were under 40 yr of age. The number of men increased by 4% in 2009 and that of women increased by 6%. The number of passengers travelled in 2008 was 2,00,000.Q. What percentage of passengers in 2009 consisted of children?a)16%b)20%c)13%d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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