Cows or sheep -- Kaplan Problem

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 57
Joined: Sun Jul 06, 2008 10:52 am
Thanked: 1 times
GMAT Score:640

Cows or sheep -- Kaplan Problem

by iikarthik » Fri Jun 04, 2010 10:45 am
Which does a rancher have a greater number of,cows or sheep ?

1.The number of cows he has is less than 5 times the number of sheep he has

2.One-fifth of the number of sheep he has is less than the number of cows he has

OA is E

My answer was D.Seems like a simple one but need help on this.

Thanks
karthik
Source: — Data Sufficiency |

User avatar
Master | Next Rank: 500 Posts
Posts: 106
Joined: Mon Sep 28, 2009 9:29 am
Location: Boston, MA
Thanked: 26 times
Followed by:2 members
GMAT Score:700

by asamaverick » Fri Jun 04, 2010 11:02 am
Question : Is c > s ? (c = # of cows, s = sheep count).

1) c < 5s This is not sufficient by itself. Consider c = 1, s = 2 & c = 2, s = 1
2) 2) s/5 < c. Which gives s < 5c. Again not sufficient by itself.

Combining the two. C < 5s & s < 5c. The same two pair of values that I used for (1) satisfy both these criteria. Hence both
(1) and (2) together are also not sufficient. Hence E.