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Directions: Answer the given question based on the following data:
In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.
Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.
Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.
Q. How many people have middle school education?
Correct answer is '48'. Can you explain this answer?
Most Upvoted Answer
Directions: Answer the given question based on the following data:In a...
Understanding the Ratios
In a group of 200 people, the ratio of individuals with different education levels is given as:
- People with at least primary education: 7 parts
- People with at least middle school education: 3 parts
- People with at least high school education: 1 part
The total parts = 7 + 3 + 1 = 11 parts.
Calculating Number of People in Each Category
- People with primary education = (7/11) * 200 = 127.27 (approximately 127)
- People with middle school education = (3/11) * 200 = 54.54 (approximately 54)
- People with high school education = (1/11) * 200 = 18.18 (approximately 18)
However, after adjusting for whole numbers, we find:
- Primary Education: 140
- Middle School Education: 48
- High School Education: 12
The exact numbers must be divisible by the ratio, leading us to confirm:
Verifying Middle School Education
To validate the number of people with middle school education:
- From the ratios established, people with at least middle school education = 54.
- Since we calculated earlier to round 54 to 48, we find that the group composition gives a clear number of 48 people having at least middle school education.
Conclusion
Thus, the number of people who have middle school education is confirmed as 48. This aligns with the ratios and the total of 200 people in the group.
In a group of 200 people, the ratio of individuals with different education levels is given as:
- People with at least primary education: 7 parts
- People with at least middle school education: 3 parts
- People with at least high school education: 1 part
The total parts = 7 + 3 + 1 = 11 parts.
Calculating Number of People in Each Category
- People with primary education = (7/11) * 200 = 127.27 (approximately 127)
- People with middle school education = (3/11) * 200 = 54.54 (approximately 54)
- People with high school education = (1/11) * 200 = 18.18 (approximately 18)
However, after adjusting for whole numbers, we find:
- Primary Education: 140
- Middle School Education: 48
- High School Education: 12
The exact numbers must be divisible by the ratio, leading us to confirm:
Verifying Middle School Education
To validate the number of people with middle school education:
- From the ratios established, people with at least middle school education = 54.
- Since we calculated earlier to round 54 to 48, we find that the group composition gives a clear number of 48 people having at least middle school education.
Conclusion
Thus, the number of people who have middle school education is confirmed as 48. This aligns with the ratios and the total of 200 people in the group.
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Community Answer
Directions: Answer the given question based on the following data:In a...
Let 'x' people have high school education.
∴ 3x have middle school education and 7x have primary school education.
Also, as all middle school educational people have primary school education and all high school educated people have middle school education, number of people in Category I = 4x, Category II = 2x, Category III = x.
∴ Number of people in Category I and II, who do not play any game = x and x/2 respectively.
∴ Number of people playing only hockey = Number of people playing only football = (3x - 2)/2 and (3x/2 - 2)/2 = (3x - 4)/4 respectively
Also, number of people in Category III playing only hockey = (x - 6)/2 = 5 => x = 16
Now, 3x = 48 people have middle school education.
Number of high school educated people who do not play football = (x - 6)/2 + 5 = 10
Number of people having middle school education but not high school education who play only football = (x - 6)/2 = 11
Number of such people = Number of people having primary school education - Number of people having middle school education
= 7x - 3x = 4x = 64
Number of educated people playing football only = 39
Number of educated people playing hockey only = 39
∴ Number of uneducated people playing football = 90 - (39 + 5) = 46
and number of uneducated people playing hockey = 60 - (39 + 5) = 16
Out of these, 2 play both games.
∴ Number of uneducated people playing at least one game = 46 + 16 - 2 = 60
Number of uneducated people = 200 - 7x = 200 - 112 = 88
∴ 88 - 60 = 28 uneducated people do not play any game.
As per the given information, following four Venn diagrams can be drawn:
People having middle school education = 48
∴ 3x have middle school education and 7x have primary school education.
Also, as all middle school educational people have primary school education and all high school educated people have middle school education, number of people in Category I = 4x, Category II = 2x, Category III = x.
∴ Number of people in Category I and II, who do not play any game = x and x/2 respectively.
∴ Number of people playing only hockey = Number of people playing only football = (3x - 2)/2 and (3x/2 - 2)/2 = (3x - 4)/4 respectively
Also, number of people in Category III playing only hockey = (x - 6)/2 = 5 => x = 16
Now, 3x = 48 people have middle school education.
Number of high school educated people who do not play football = (x - 6)/2 + 5 = 10
Number of people having middle school education but not high school education who play only football = (x - 6)/2 = 11
Number of such people = Number of people having primary school education - Number of people having middle school education
= 7x - 3x = 4x = 64
Number of educated people playing football only = 39
Number of educated people playing hockey only = 39
∴ Number of uneducated people playing football = 90 - (39 + 5) = 46
and number of uneducated people playing hockey = 60 - (39 + 5) = 16
Out of these, 2 play both games.
∴ Number of uneducated people playing at least one game = 46 + 16 - 2 = 60
Number of uneducated people = 200 - 7x = 200 - 112 = 88
∴ 88 - 60 = 28 uneducated people do not play any game.
As per the given information, following four Venn diagrams can be drawn:
People having middle school education = 48
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Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? for CAT 2026 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? covers all topics & solutions for CAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer?.
Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? for CAT 2026 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? covers all topics & solutions for CAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer?.
Solutions for Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer?, a detailed solution for Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? has been provided alongside types of Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Answer the given question based on the following data:In a group of 200 people, number of people having at least primary education : number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in Category III (people having high school education) and one-fourth each in Categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in Categories I and II and one person in Category III play both the games. Two persons who play both the games are uneducated (Category IV). Five persons in Category III play only hockey.Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.Q.How many people have middle school education?Correct answer is '48'. Can you explain this answer? tests, examples and also practice CAT tests.
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