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a,b,c,and d are positive
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09 Mar 2021, 05:00
09 Mar 2021, 05:00
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a,b,c,and d are positive integers such that \(\frac{a}{b}< \frac{c}{d}\)
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 |
\([\frac{c}{b}][\frac{a}{d}]\) |
\(\frac{c}{d}\) |
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: a,b,c,and d are positive
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09 Mar 2021, 09:18
09 Mar 2021, 09:18
Carcass wrote:
a,b,c,and d are positive integers such that \(\frac{a}{b}< \frac{c}{d}\)
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 |
\([\frac{c}{b}][\frac{a}{d}]\) |
\(\frac{c}{d}\) |
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.
\(\frac{a}{b} < \frac{c}{d}\)
Since, we have all 4 positive integers, we can say: \(ad < bc\)
Col. A: \(\frac{ac}{bd}\)
Col. B: \(\frac{c}{d}\)
Cross-Multiply the denominators;
Col. A: \(acd\)
Col. B: \(bcd\)
Eliminating \(cd\);
Col. A: \(a\)
Col. B: \(b\)
We do not know any relation between \(a\) and \(b\)!
Hence, option D
gmatclubot
Re: a,b,c,and d are positive [#permalink]
09 Mar 2021, 09:18
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