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If 1 < g < 0 and h is a positive integer greater than 1, which one of
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20 Mar 2023, 11:20
20 Mar 2023, 11:20
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Question Stats:
42% (01:17) correct
57% (01:55) wrong based on 14 sessions
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If \(–1 < g < 0\) and h is a positive integer greater than 1, which one of the following has the least value?
\(g + h\)
\(g\)
\(\frac{g}{h}\)
\(\frac{h}{g}\)
\(gh\)
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE INEQUALITIES
\(g + h\)
\(g\)
\(\frac{g}{h}\)
\(\frac{h}{g}\)
\(gh\)
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE INEQUALITIES
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Joined: 20 Feb 2017
Posts: 2508
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Re: If 1 < g < 0 and h is a positive integer greater than 1, which one of
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10 Apr 2023, 08:53
10 Apr 2023, 08:53
1
Expert Reply
a. g + h
Since g is negative and h is positive, the value of g + h will depend on the magnitude of h. Since h is a positive integer greater than 1, g + h will be greater than h, and thus, option (a) is not the least value.
b. g
Since g is a negative number between -1 and 0, g will be the most negative value among the options, and thus, option (b) is not the least value.
c. g/h
Since g is negative and h is positive, g/h will be negative, and the magnitude of g/h will depend on the magnitude of h. Since h is a positive integer greater than 1, g/h will be less negative compared to g, and thus, option (c) is not the least value.
d. h/g
Since g is negative and h is positive, h/g will be positive. Since h is a positive integer greater than 1 and g is negative, h/g will be the least value among the given options.
e. gh
Since g is negative and h is positive, the product of gh will be negative, and the magnitude of gh will depend on the magnitudes of g and h. Since h is a positive integer greater than 1, gh will be less negative compared to g, and thus, option (e) is not the least value.
Answer: D
Since g is negative and h is positive, the value of g + h will depend on the magnitude of h. Since h is a positive integer greater than 1, g + h will be greater than h, and thus, option (a) is not the least value.
b. g
Since g is a negative number between -1 and 0, g will be the most negative value among the options, and thus, option (b) is not the least value.
c. g/h
Since g is negative and h is positive, g/h will be negative, and the magnitude of g/h will depend on the magnitude of h. Since h is a positive integer greater than 1, g/h will be less negative compared to g, and thus, option (c) is not the least value.
d. h/g
Since g is negative and h is positive, h/g will be positive. Since h is a positive integer greater than 1 and g is negative, h/g will be the least value among the given options.
e. gh
Since g is negative and h is positive, the product of gh will be negative, and the magnitude of gh will depend on the magnitudes of g and h. Since h is a positive integer greater than 1, gh will be less negative compared to g, and thus, option (e) is not the least value.
Answer: D
Re: If 1 < g < 0 and h is a positive integer greater than 1, which one of
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12 Apr 2024, 08:56
12 Apr 2024, 08:56
1
GeminiHeat wrote:
d. h/g
Since g is negative and h is positive, h/g will be positive. Since h is a positive integer greater than 1 and g is negative, h/g will be the least value among the given options.
Answer: D
I think it should say that h/g will be NEGATIVE. If it's positive, it can't be the least value.
