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If 0 < a < b and k = (2a + 7b)/b , which of the following must be true
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01 Jul 2022, 05:58
01 Jul 2022, 05:58
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77% (01:26) correct
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If 0 < a < b and k = (2a + 7b)/b , which of the following must be true?
A. k < 2
B. k < 7
C. k < 9
D. k > 9
E. k > 11
A. k < 2
B. k < 7
C. k < 9
D. k > 9
E. k > 11
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If 0 < a < b and k = (2a + 7b)/b , which of the following must be true
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01 Jul 2022, 06:12
01 Jul 2022, 06:12
Carcass wrote:
If 0 < a < b and k = (2a + 7b)/b , which of the following must be true?
A. k < 2
B. k < 7
C. k < 9
D. k > 9
E. k > 11
A. k < 2
B. k < 7
C. k < 9
D. k > 9
E. k > 11
k = (2a + 7b)/b
= 2a/b + 7b/b
= 2(a/b) + 7
Since 0 < a < b, we know that a/b is less than 1, which means that 2(a/b) is some number less than 2.
So, we get k = (some number less than 2) + 7
From here, we can see that k must be less than 9
Answer: C
Cheers,
Brent
gmatclubot
Re: If 0 < a < b and k = (2a + 7b)/b , which of the following must be true [#permalink]
01 Jul 2022, 06:12
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