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BD/AB or BC/DC
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24 Nov 2022, 11:08
24 Nov 2022, 11:08
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Question Stats:
53% (01:27) correct
46% (00:59) wrong based on 15 sessions
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Attachment:
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Quantity A |
Quantity B |
\(\frac{ BD}{AB }\) |
\(\frac{BC}{DC }\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Re: BD/AB or BC/DC
[#permalink]
29 Nov 2022, 00:54
29 Nov 2022, 00:54
1
Carcass wrote:
Attachment:
GRE Geomtery.jpg
Quantity A |
Quantity B |
\(\frac{ BD}{AB }\) |
\(\frac{BC}{DC }\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Col. A: \(\frac{ BD}{AB }\)
Col. B: \(\frac{BC}{DC }\)
Cross-multiplying the denominators:
Col. A: \((BD)(DC)\)
Col. B: \((BC)(AB)\)
We know, in △BDC:
\(BC^2 = BD^2 + CD^2\); i.e. BC > BD and also BC > CD
In △BDA:
\(AB^2 = BD^2 + AD^2\); i.e. AB > BD and AB > AD
Compare BD and AB: BD < AB
Compare DC and BC: DC < BC
Col. A < Col. B
Hence, option B
gmatclubot
Re: BD/AB or BC/DC [#permalink]
29 Nov 2022, 00:54
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