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There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?
- a)Between 10 and 32.
- b)Between 14 and 32.
- c)Between 10 and 18.
- d)Between 14 and 18.
- e)Between 18 and 36
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of...
Given that there are 18 boys (9/20*40=18) and 22 girls in the class. Also we know that out of 40 students 32 are right-handed (4/5*40=32).
Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;
Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.
Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;
Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.
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Community Answer
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of...
To find the number of right-handed boys in the classroom, we need to calculate the intersection of the two given fractions: 9/20 of the students are boys and 4/5 of the students are right-handed.
Let's break down the problem step by step:
1. Calculate the number of boys in the classroom:
If 9/20 of the students are boys, we can multiply this fraction by the total number of students to find the number of boys.
Number of boys = (9/20) * 40 = 9 * 2 = 18
2. Calculate the number of right-handed students in the classroom:
If 4/5 of the students are right-handed, we can multiply this fraction by the total number of students to find the number of right-handed students.
Number of right-handed students = (4/5) * 40 = 4 * 8 = 32
3. Calculate the intersection of the two groups (right-handed boys):
To find the number of right-handed boys, we need to find the common value between the number of boys and the number of right-handed students.
Number of right-handed boys = min(Number of boys, Number of right-handed students) = min(18, 32) = 18
Therefore, there are between 10 and 18 right-handed boys in the classroom, which corresponds to option C.
Let's break down the problem step by step:
1. Calculate the number of boys in the classroom:
If 9/20 of the students are boys, we can multiply this fraction by the total number of students to find the number of boys.
Number of boys = (9/20) * 40 = 9 * 2 = 18
2. Calculate the number of right-handed students in the classroom:
If 4/5 of the students are right-handed, we can multiply this fraction by the total number of students to find the number of right-handed students.
Number of right-handed students = (4/5) * 40 = 4 * 8 = 32
3. Calculate the intersection of the two groups (right-handed boys):
To find the number of right-handed boys, we need to find the common value between the number of boys and the number of right-handed students.
Number of right-handed boys = min(Number of boys, Number of right-handed students) = min(18, 32) = 18
Therefore, there are between 10 and 18 right-handed boys in the classroom, which corresponds to option C.
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There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?a)Between 10 and 32.b)Between 14 and 32.c)Between 10 and 18.d)Between 14 and 18.e)Between 18 and 36Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?a)Between 10 and 32.b)Between 14 and 32.c)Between 10 and 18.d)Between 14 and 18.e)Between 18 and 36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?a)Between 10 and 32.b)Between 14 and 32.c)Between 10 and 18.d)Between 14 and 18.e)Between 18 and 36Correct answer is option 'C'. Can you explain this answer?.
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