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r<0
[#permalink]
09 May 2022, 01:30
09 May 2022, 01:30
Expert Reply
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Question Stats:
92% (00:37) correct
7% (00:16) wrong based on 13 sessions
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\(r<0\)
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
Quantity A |
Quantity B |
\(45r \) |
\(\frac{45}{r }\) |
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 Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: r<0
[#permalink]
15 May 2022, 10:34
15 May 2022, 10:34
1
Given that r < 0
Lets take two cases
Case 1: r = -1
Case 2: r = -2
Case 1: r = -1
Quantity A = 45r = 45 * -1 = -45
Quantity B = \(\frac{45}{r}\) = \(\frac{45}{-1}\) = -45
=> Quantity A = Quantity B
Case 2: r = -2
Quantity A = 45r = 45 * -2 = -90
Quantity B = \(\frac{45}{r}\) = \(\frac{45}{-2}\) = -22.5
=> Quantity B > Quantity A
Clearly, We cannot say which Quantity is greater as they can be equal or unequal too.
So, Answer will be D
Hope it helps!
Lets take two cases
Case 1: r = -1
Case 2: r = -2
Case 1: r = -1
Quantity A = 45r = 45 * -1 = -45
Quantity B = \(\frac{45}{r}\) = \(\frac{45}{-1}\) = -45
=> Quantity A = Quantity B
Case 2: r = -2
Quantity A = 45r = 45 * -2 = -90
Quantity B = \(\frac{45}{r}\) = \(\frac{45}{-2}\) = -22.5
=> Quantity B > Quantity A
Clearly, We cannot say which Quantity is greater as they can be equal or unequal too.
So, Answer will be D
Hope it helps!
gmatclubot
Re: r<0 [#permalink]
15 May 2022, 10:34
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