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In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?
- a)(20, 30)
- b)(20, 10)
- c)(30, 15)
- d)(30, 20)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a town 60% of the adult population is male, a% of the adult Males a...
Let total adult population of town = T Adult population that is male = 0.6T Adult population that is female = 0.4T a% of adult male population and b% of adult female population is Educated. Given, educated adult male + uneducated adult female = sum of uneducated adult males + Educated adult females.
Most Upvoted Answer
In a town 60% of the adult population is male, a% of the adult Males a...
To solve this problem, let's break down the information given and analyze it step by step.
Given information:
- 60% of the adult population in the town is male.
- a% of adult males are educated.
- b% of adult females are educated.
- The total number of educated adult males and uneducated adult females is equal to the total number of uneducated adult males and educated adult females.
Let's assign variables to the different groups:
Let M = adult males
Let F = adult females
1. Calculate the number of adult males and females:
Let P = adult population
Number of adult males = 60/100 * P = 0.6P
Number of adult females = 40/100 * P = 0.4P
2. Calculate the number of educated males and females:
Number of educated males = a/100 * 0.6P = 0.006aP
Number of educated females = b/100 * 0.4P = 0.004bP
3. Set up the equation based on the given condition:
Number of educated males + Number of uneducated females = Number of uneducated males + Number of educated females
0.006aP + (0.4P - 0.004bP) = (0.6P - 0.006aP) + 0.004bP
Simplifying this equation, we get:
0.006aP + 0.396P - 0.004bP = 0.6P - 0.006aP + 0.004bP
Combining like terms:
0.006aP + 0.004bP - 0.006aP - 0.004bP = 0.6P - 0.396P
0 = 0.6P - 0.396P
0.204P = 0
Since P cannot be equal to 0, this equation has no solutions and hence, no values of a and b will satisfy the given condition. Therefore, none of the options provided (a, b, c, d) could be the set of values (a, b).
Therefore, the correct answer is none of the options.
Given information:
- 60% of the adult population in the town is male.
- a% of adult males are educated.
- b% of adult females are educated.
- The total number of educated adult males and uneducated adult females is equal to the total number of uneducated adult males and educated adult females.
Let's assign variables to the different groups:
Let M = adult males
Let F = adult females
1. Calculate the number of adult males and females:
Let P = adult population
Number of adult males = 60/100 * P = 0.6P
Number of adult females = 40/100 * P = 0.4P
2. Calculate the number of educated males and females:
Number of educated males = a/100 * 0.6P = 0.006aP
Number of educated females = b/100 * 0.4P = 0.004bP
3. Set up the equation based on the given condition:
Number of educated males + Number of uneducated females = Number of uneducated males + Number of educated females
0.006aP + (0.4P - 0.004bP) = (0.6P - 0.006aP) + 0.004bP
Simplifying this equation, we get:
0.006aP + 0.396P - 0.004bP = 0.6P - 0.006aP + 0.004bP
Combining like terms:
0.006aP + 0.004bP - 0.006aP - 0.004bP = 0.6P - 0.396P
0 = 0.6P - 0.396P
0.204P = 0
Since P cannot be equal to 0, this equation has no solutions and hence, no values of a and b will satisfy the given condition. Therefore, none of the options provided (a, b, c, d) could be the set of values (a, b).
Therefore, the correct answer is none of the options.
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In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer?
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In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer?.
In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a town 60% of the adult population is male, a% of the adult Males and b% adult females are Educated. The total Number of Educated adult Males and uneducated adult females is equal in number to the total Number of Uneducated adult Males and Educated adult females if a and b are both integers. Which of the following could be the set of values (a, b)?a)(20, 30)b)(20, 10)c)(30, 15)d)(30, 20)Correct answer is option 'D'. Can you explain this answer?.
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