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If 1 < mn < 0, then which of the following can be true? m < 0 and n
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23 Mar 2022, 02:00
23 Mar 2022, 02:00
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Question Stats:
35% (01:11) correct
64% (01:21) wrong based on 34 sessions
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If –1 < mn < 0, then which of the following can be true?
Indicate all that apply
m < 0 and n < 0
m < 1 and n < 1
m > 1 and n < –1
m > 1 and n > 1
–1 < m < 0 and n < 0
Indicate all that apply
m < 0 and n < 0
m < 1 and n < 1
m > 1 and n < –1
m > 1 and n > 1
–1 < m < 0 and n < 0
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
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If 1 < mn < 0, then which of the following can be true? m < 0 and n
[#permalink]
28 Mar 2022, 01:19
28 Mar 2022, 01:19
1
Carcass wrote:
If –1 < mn < 0, then which of the following can be true?
Indicate all that apply
m < 0 and n < 0
m < 1 and n < 1
m > 1 and n < –1
m > 1 and n > 1
–1 < m < 0 and n < 0
Indicate all that apply
m < 0 and n < 0
m < 1 and n < 1
m > 1 and n < –1
m > 1 and n > 1
–1 < m < 0 and n < 0
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
\(–1 < mn < 0\)
i.e. \(mn\) is a -ve number
So \(m\) and \(n\) must have opposite signs
Eliminate option A, D, and E
Now between B and C
B. m < 1 and n < 1
Let \(m =\frac{1}{2}\) and \(n =\frac{-1}{2}\)
\(mn =\frac{-1}{4}\)
C. m > 1 and n < –1
Let us take the smallest values for \(m\) and \(n\)
Let \(m =1.001\) and \(n =-1.001\)
\(mn = -1.002\)
Hence, option B
Re: If 1 < mn < 0, then which of the following can be true? m < 0 and n
[#permalink]
24 Jul 2022, 23:17
24 Jul 2022, 23:17
KarunMendiratta wrote:
Carcass wrote:
If –1 < mn < 0, then which of the following can be true?
Indicate all that apply
m < 0 and n < 0
m < 1 and n < 1
m > 1 and n < –1
m > 1 and n > 1
–1 < m < 0 and n < 0
Indicate all that apply
m < 0 and n < 0
m < 1 and n < 1
m > 1 and n < –1
m > 1 and n > 1
–1 < m < 0 and n < 0
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
\(–1 < mn < 0\)
i.e. \(mn\) is a -ve number
So \(m\) and \(n\) must have opposite signs
Eliminate option A, D, and E
Now between B and C
B. m < 1 and n < 1
Let \(m =\frac{1}{2}\) and \(n =\frac{-1}{2}\)
\(mn =\frac{-1}{4}\)
C. m > 1 and n < –1
Let us take the smallest values for \(m\) and \(n\)
Let \(m =1.001\) and \(n =-1.001\)
\(mn = -1.002\)
Hence, option B
Sir, could you state your reasons for eliminating A, D, E
