Inequalities Problem

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Inequalities Problem

by MoeLuvsMoney » Mon Feb 14, 2011 5:05 pm
If k <g, h < j, g < j, and f < h, which of the following must be true?

I. k < h
II. f < g
III. k < g

A. I only
B. II only
C. III only
D. II and III
E. I, II, and III

Does anyone have a quick way to solve this??? Takes me FOREVER!


Thanks!

Spoiler! Answer is C
Source: — Problem Solving |

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by Night reader » Mon Feb 14, 2011 6:09 pm
you need to extend the list of possible inequalities: k<j, f<j
I. k < h --> k<j and h<j not defined
II. f < g --> since g<j and f<j not defined
III. k < g --> this is given
IOM C
MoeLuvsMoney wrote:If k <g, h < j, g < j, and f < h, which of the following must be true?

I. k < h
II. f < g
III. k < g


A. I only
B. II only
C. III only
D. II and III
E. I, II, and III

Does anyone have a quick way to solve this??? Takes me FOREVER!


Thanks!

Spoiler! Answer is C

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by Tani » Mon Feb 14, 2011 7:31 pm
This one drops out in a minute if you use LSAT logic games tools


g--->k

j--->h

j--->g

h--->f

put them together you get
h--->f
/
/
j
\
\
g--->k


with this diagram you must start with j and you have to keep the g--->k and h---f relationships, but there are no rules about the relationships between the two legs of the diagram.
Tani Wolff