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y>0 and x=3y
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21 Jul 2021, 22:40
21 Jul 2021, 22:40
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Question Stats:
87% (01:03) correct
12% (01:46) wrong based on 16 sessions
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\(y>0\) and \(x=3y\)
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 |
20 % of x |
50% of y |
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: y>0 and x=3y
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22 Jul 2021, 00:24
22 Jul 2021, 00:24
1
Carcass wrote:
\(y>0\) and \(x=3y\)
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 |
20 % of x |
50% of y |
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.
Col. A: \(\frac{x}{5}\)
Col. B: \(\frac{y}{2}\)
Cross-Multiply the denominators;
Col. A: \(2x\)
Col. B: \(5y\)
Put \(x = 3y\);
Col. A: \(6y\)
Col. B: \(5y\)
Hence, option A
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Given Kudos: 136
Re: y>0 and x=3y
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23 Jul 2021, 05:45
23 Jul 2021, 05:45
1
Carcass wrote:
\(y>0\) and \(x=3y\)
Quantity A |
Quantity B |
20 % of x |
50% of y |
We can solve this question using matching operations (my favorite Quantitative Comparison strategy)
Given:
Quantity A: 0.2x
Quantity B: 0.5y
Since x = 3y, we'll replace x with 3y to get:
Quantity A: 0.2(3y) = 0.6y
Quantity B: 0.5y
Since y is POSITIVE, we can safely divide both quantities by y to get:
Quantity A: 0.6
Quantity B: 0.5
Answer: A
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