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Section A and section B of 7th class in a school contains total 285 students.Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?
- a)6 : 5
- b)10 : 9
- c)11 : 9
- d)13 : 12
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Section A and section B of 7th class in a school contains total 285 st...
B) 10 : 9
Explanation: The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option: 6+5 = 11, and 11 does not divide 285 completely. 10+9 = 19, and only 19 divides 285 completely among all.
Explanation: The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option: 6+5 = 11, and 11 does not divide 285 completely. 10+9 = 19, and only 19 divides 285 completely among all.
Most Upvoted Answer
Section A and section B of 7th class in a school contains total 285 st...
Given, total number of students in sections A and B of 7th class in a school is 285.
Let the ratio of number of boys to number of girls be x : y in section A and section B.
Then, we have the following equations:
- Number of boys in section A = x/(x+y) * total number of students in section A
- Number of girls in section A = y/(x+y) * total number of students in section A
- Number of boys in section B = x/(x+y) * total number of students in section B
- Number of girls in section B = y/(x+y) * total number of students in section B
We know that total number of students in sections A and B is 285. Therefore, we have:
- total number of students in section A = (285/2) = 142.5 (which is not possible as it is a decimal)
- total number of students in section B = (285/2) = 142.5 (which is not possible as it is a decimal)
Hence, we cannot determine the ratio of number of boys to number of girls in the class.
However, if we assume that the number of students in each section is a whole number, then we can proceed further.
Let the total number of students in section A be a and in section B be b. Then, we have:
- a + b = 285
- Number of boys in section A + Number of boys in section B = x/(x+y) * (a+b)
- Number of girls in section A + Number of girls in section B = y/(x+y) * (a+b)
Since we cannot determine a and b uniquely, we cannot determine x/y uniquely.
But, we can check which option satisfies the given condition.
- For option B, the ratio of boys to girls is 10:9. This can be written as 10x : 9x, which simplifies to x : (9/10)x. Therefore, the ratio of number of boys to number of girls can be 10 : 9.
Let the ratio of number of boys to number of girls be x : y in section A and section B.
Then, we have the following equations:
- Number of boys in section A = x/(x+y) * total number of students in section A
- Number of girls in section A = y/(x+y) * total number of students in section A
- Number of boys in section B = x/(x+y) * total number of students in section B
- Number of girls in section B = y/(x+y) * total number of students in section B
We know that total number of students in sections A and B is 285. Therefore, we have:
- total number of students in section A = (285/2) = 142.5 (which is not possible as it is a decimal)
- total number of students in section B = (285/2) = 142.5 (which is not possible as it is a decimal)
Hence, we cannot determine the ratio of number of boys to number of girls in the class.
However, if we assume that the number of students in each section is a whole number, then we can proceed further.
Let the total number of students in section A be a and in section B be b. Then, we have:
- a + b = 285
- Number of boys in section A + Number of boys in section B = x/(x+y) * (a+b)
- Number of girls in section A + Number of girls in section B = y/(x+y) * (a+b)
Since we cannot determine a and b uniquely, we cannot determine x/y uniquely.
But, we can check which option satisfies the given condition.
- For option B, the ratio of boys to girls is 10:9. This can be written as 10x : 9x, which simplifies to x : (9/10)x. Therefore, the ratio of number of boys to number of girls can be 10 : 9.
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Community Answer
Section A and section B of 7th class in a school contains total 285 st...
B) 10 : 9
Explanation: The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option: 6+5 = 11, and 11 does not divide 285 completely. 10+9 = 19, and only 19 divides 285 completely among all.
Explanation: The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option: 6+5 = 11, and 11 does not divide 285 completely. 10+9 = 19, and only 19 divides 285 completely among all.
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Section A and section B of 7th class in a school contains total 285 students.Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?a)6 : 5b)10 : 9c)11 : 9d)13 : 12e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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Section A and section B of 7th class in a school contains total 285 students.Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?a)6 : 5b)10 : 9c)11 : 9d)13 : 12e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Section A and section B of 7th class in a school contains total 285 students.Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?a)6 : 5b)10 : 9c)11 : 9d)13 : 12e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Section A and section B of 7th class in a school contains total 285 students.Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?a)6 : 5b)10 : 9c)11 : 9d)13 : 12e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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