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50% of the students on a class
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10 Mar 2021, 04:56
10 Mar 2021, 04:56
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50% of the students in a class are male, and 40% of the student in the class have brown hair
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
The percentage of the students in the class who are boys with brown hair |
20% |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: 50% of the students on a class
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10 Mar 2021, 05:02
10 Mar 2021, 05:02
Carcass wrote:
50% of the students in a class are male, and 40% of the student in the class have brown hair
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The percentage of the students in the class who are boys with brown hair |
20% |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Let the total number of students be \(100\)
Number of Males = \(50\)
Number of Females = \(50\)
Number of students with brown hair = \(40\)
Case I: All \(40\) are females
Col. A: \(0\)
Col. B: \(20\)
i.e. Col. A < Col. B
Case II: All \(40\) are Males
Col. A: \(40\)
Col. B: 20
i.e. Col. A > Col. B
Hence, option D
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50% of the students on a class
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22 Jul 2021, 19:49
22 Jul 2021, 19:49
1
Let's consider some examples:
1. 50% of the students are men. If 40% of all students have brown hair, it means that all the students with brown hair could reside outside the "male" category (i.e., in the other 50%).
2. If, on the other hand, only male students have brown hair, that 40% would reside entirely within the 50% of male students.
Hence, we can produce two very different scenarios that would both be valid given the information we have at hand.
Hence, D!
1. 50% of the students are men. If 40% of all students have brown hair, it means that all the students with brown hair could reside outside the "male" category (i.e., in the other 50%).
2. If, on the other hand, only male students have brown hair, that 40% would reside entirely within the 50% of male students.
Hence, we can produce two very different scenarios that would both be valid given the information we have at hand.
Hence, D!
