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Directions: Select a single answer choice.
Q. Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?
  • a)
    5%
  • b)
    20%
  • c)
    25%
  • d)
    60%
  • e)
    75%
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Directions: Select a single answer choice.Q. Of the students in a sch...
Given information:
- 20% of the students are in the science club
- 30% of the students are in the band
- 25% of the students are in the band but not in the science club

To find: What percentage of the students in the science club are not in the band?

Let's assume there are 100 students in the school for easier calculations.

Number of students in the science club = 20% of 100 = 20 students
Number of students in the band = 30% of 100 = 30 students
Number of students in the band but not in the science club = 25% of 100 = 25 students

Since 25 students are in the band but not in the science club, that means there are 30 - 25 = 5 students who are in both the science club and the band.

To find the percentage of students in the science club who are not in the band, we need to subtract the students who are in both from the total students in the science club.

Number of students in the science club who are not in the band = Total students in the science club - Students in both the science club and the band
= 20 - 5
= 15 students

Now, to find the percentage, we can use the formula:

Percentage = (Number of students in the science club who are not in the band / Total students in the science club) * 100

Percentage = (15 / 20) * 100
Percentage = 75%

Therefore, the answer is option E) 75%.
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Community Answer
Directions: Select a single answer choice.Q. Of the students in a sch...
You are given that 20% of the students are in the science club, 30% are in the band, and 25% are in the band but are not in the science club. You need to determine what percent of the students who are in the science club are not in the band. The information can be represented in a Venn diagram as follows.
From the Venn Diagram, you can see that the 30% who are in the band consists of 25% who are in the band but not in the science club, and 5% who are in both the band and the science club. Then you can see that the 20% who are in the science club consists of 5% who are in both the science club and the band, and 15% who are in the science club but not in the band, as shown in the revised Venn diagram below.
Thus 15% / 20% (100%), or 75%, of the students in the science club are not in the band. The correct answer is Choice E.
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Directions: Select a single answer choice.Q. Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?a)5%b)20%c)25%d)60%e)75%Correct answer is option 'E'. Can you explain this answer?
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Directions: Select a single answer choice.Q. Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?a)5%b)20%c)25%d)60%e)75%Correct answer is option 'E'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select a single answer choice.Q. Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?a)5%b)20%c)25%d)60%e)75%Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select a single answer choice.Q. Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?a)5%b)20%c)25%d)60%e)75%Correct answer is option 'E'. Can you explain this answer?.
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