GMAT Prep: Inequalities

This topic has expert replies
User avatar
Master | Next Rank: 500 Posts
Posts: 200
Joined: Sun Jun 17, 2007 10:46 am
Location: Canada
Thanked: 9 times

GMAT Prep: Inequalities

by beeparoo » Mon Oct 01, 2007 9:54 am
If 0 < r < 1 < s < 2, which of the following must be less than 1?

I) r/s

II) rs

III) s - r

A - I only
B - II only
C - III only
D - I and II
E - I and III

The answer, which is A (highlight to see the answer), doesn't convince me.

I am having a difficulty understanding why rs will not necessarily be less than 1. Having picked numbers from many examples for r and s, my calculations show that rs will always be less than 1. Have I not come up with a good guess?
Source: — Problem Solving |

User avatar
Legendary Member
Posts: 986
Joined: Wed Dec 20, 2006 11:07 am
Location: India
Thanked: 51 times
Followed by:1 members

by gabriel » Mon Oct 01, 2007 10:01 am
the first example that came to my mind .. r = 2/3 ans s = 3/2 .. rs = 1 :)

User avatar
Master | Next Rank: 500 Posts
Posts: 200
Joined: Sun Jun 17, 2007 10:46 am
Location: Canada
Thanked: 9 times

by beeparoo » Mon Oct 01, 2007 10:31 am
Honestly, I think I've lost my head after so many months of studying...

Thanks for your simple explanation, gabriel.

Sandra