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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
If a, b, c and d are positive integers and a/b < c/d, which of the fol
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19 Apr 2022, 09:02
19 Apr 2022, 09:02
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If a, b, c and d are positive integers and a/b < c/d, which of the following must be true?
I. (a+c)/(b+d) < c/d
II. (a+c)/(b+d) < a/b
III. (a+c)/(b+d) = a/b + c/d
A. None
B. I only
C. II only
D. I and II
E. I and III
I. (a+c)/(b+d) < c/d
II. (a+c)/(b+d) < a/b
III. (a+c)/(b+d) = a/b + c/d
A. None
B. I only
C. II only
D. I and II
E. I and III
Re: If a, b, c and d are positive integers and a/b < c/d, which of the fol
[#permalink]
19 Apr 2022, 19:04
19 Apr 2022, 19:04
2
Quote:
If a, b, c and d are positive integers and a/b < c/d, which of the following must be true?
a/b < c/d
as a, b, c and d are positive integers, rearranging the terms of the inequality
a/c < b/d
Adding 1 to each side of the inequality
a/c + 1 < b/d + 1
(a+c)/c < (b+d)/d
(a+c)/(b+d) < c/d
I. (a+c)/(b+d) < c/d This is always true
II. (a+c)/(b+d) < a/b
(a+c)/(b+d) is less than c/d but whether it is less than a/b is not known. Not always true
III. (a+c)/(b+d) = a/b + c/d
As (a+c)/(b+d) < c/d, left hand side cannot be equal to the right hand side. False
IMO B
Re: If a, b, c and d are positive integers and a/b < c/d, which of the fol
[#permalink]
11 Jun 2024, 03:00
11 Jun 2024, 03:00
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