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In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?
- a)6
- b)12
- c)18
- d)24
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class, there are 18 boys who are over 160 cm tall. If these const...
Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x (4/3) = 24.
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 - 24) = 12.
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 - 24) = 12.
Most Upvoted Answer
In a class, there are 18 boys who are over 160 cm tall. If these const...
To solve this problem, we need to break it down into smaller steps and use logical reasoning to find the solution.
Let's start by understanding the given information:
1. There are 18 boys who are over 160 cm tall, and this constitutes three-fourths of the boys.
2. The total number of boys is two-thirds of the total number of students in the class.
Now, let's find the total number of boys in the class:
We know that 18 boys constitute three-fourths of the boys, so we can set up the equation:
(3/4) * Total boys = 18
To find the total number of boys, we need to multiply both sides of the equation by (4/3):
Total boys = (18 * 4) / 3
Total boys = 72 / 3
Total boys = 24
So, there are 24 boys in the class.
Next, let's find the total number of students in the class:
We know that the total number of boys is two-thirds of the total number of students. So, we can set up the equation:
(2/3) * Total students = Total boys
Plugging in the value we found for the total number of boys:
(2/3) * Total students = 24
To find the total number of students, we need to multiply both sides of the equation by (3/2):
Total students = (24 * 3) / 2
Total students = 72 / 2
Total students = 36
So, there are 36 students in the class.
Finally, let's find the number of girls in the class:
We know that the total number of students in the class is 36, and the number of boys is 24. To find the number of girls, we can subtract the number of boys from the total number of students:
Number of girls = Total students - Total boys
Number of girls = 36 - 24
Number of girls = 12
Therefore, the number of girls in the class is 12.
Hence, the correct answer is option 'B' - 12.
Let's start by understanding the given information:
1. There are 18 boys who are over 160 cm tall, and this constitutes three-fourths of the boys.
2. The total number of boys is two-thirds of the total number of students in the class.
Now, let's find the total number of boys in the class:
We know that 18 boys constitute three-fourths of the boys, so we can set up the equation:
(3/4) * Total boys = 18
To find the total number of boys, we need to multiply both sides of the equation by (4/3):
Total boys = (18 * 4) / 3
Total boys = 72 / 3
Total boys = 24
So, there are 24 boys in the class.
Next, let's find the total number of students in the class:
We know that the total number of boys is two-thirds of the total number of students. So, we can set up the equation:
(2/3) * Total students = Total boys
Plugging in the value we found for the total number of boys:
(2/3) * Total students = 24
To find the total number of students, we need to multiply both sides of the equation by (3/2):
Total students = (24 * 3) / 2
Total students = 72 / 2
Total students = 36
So, there are 36 students in the class.
Finally, let's find the number of girls in the class:
We know that the total number of students in the class is 36, and the number of boys is 24. To find the number of girls, we can subtract the number of boys from the total number of students:
Number of girls = Total students - Total boys
Number of girls = 36 - 24
Number of girls = 12
Therefore, the number of girls in the class is 12.
Hence, the correct answer is option 'B' - 12.
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In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer?
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In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer?.
In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer?.
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In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?a)6b)12c)18d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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