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05 Apr 2016, 07:46
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A
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69% (01:55) correct
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If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)
A. I only
B. I and II
C. II and III
D. II only
E. I and III
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)
A. I only
B. I and II
C. II and III
D. II only
E. I and III
06 Apr 2016, 01:38
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x < y --> Let x = 2 and y = 3 --> z = 2/3
I. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True
II. z<(x − 1)/(y − 1) --> 2/3 < 1/2 --> False
III. z>(x + 1)/(y + 1) --> 2/3 > 3/4 --> False
Answer: A
I. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True
II. z<(x − 1)/(y − 1) --> 2/3 < 1/2 --> False
III. z>(x + 1)/(y + 1) --> 2/3 > 3/4 --> False
Answer: A
toby001
Joined: 19 May 2016
Last visit: 05 Jan 2018
Posts: 17
Own Kudos:
Given Kudos: 86
Location: United States
Concentration: Strategy, Human Resources
Schools: Cnsrtm-Tuck '20 (D) Cnsrtm-Goizueta '20 (A) Cnsrtm-Darden '20 (A$) Cnsrtm-Ross '20 (A$) Kellogg '20 (A$) Duke '20 (A$) Cnsrtm-McCombs '20 (I)
GMAT 1: 680 Q46 V37
GMAT 2: 710 Q46 V41
GMAT 3: 730 Q49 V41
WE:Operations (Manufacturing)
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Schools: Cnsrtm-Tuck '20 (D) Cnsrtm-Goizueta '20 (A) Cnsrtm-Darden '20 (A$) Cnsrtm-Ross '20 (A$) Kellogg '20 (A$) Duke '20 (A$) Cnsrtm-McCombs '20 (I)
GMAT 3: 730 Q49 V41
Posts: 17
Kudos:
8
Bunuel
If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)
A. I only
B. I and II
C. II and III
D. II only
E. I and III
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)
A. I only
B. I and II
C. II and III
D. II only
E. I and III
Hi Banuel,
Is the answer given above the most efficient way to approach this problem?
Thanks.
