BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

transfer all the milk

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

transfer all the milk

by sanju09 » Mon Mar 12, 2012 2:52 am
A milkman has 25 small cans, all of which are completely filled with milk. He also has one large can which is empty. Can he transfer all the milk contained in 15 of these small cans to the large can?
(1) The large can has a capacity of 500 liters.
(2) The average (arithmetic mean) capacity of any 20 of the small cans is 25 liters.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Mon Mar 12, 2012 4:13 am
sanju09 wrote:A milkman has 25 small cans, all of which are completely filled with milk. He also has one large can which is empty. Can he transfer all the milk contained in 15 of these small cans to the large can?
(1) The large can has a capacity of 500 liters.
(2) The average (arithmetic mean) capacity of any 20 of the small cans is 25 liters.
Rephrased target question: Is the total volume of any 15 cans less than the volume of the large can?

Statement 1
Since we have no information about the small cans, statement 1 is NOT SUFFICIENT.

Statement 2
Since we have no information about the large cans, statement 2 is NOT SUFFICIENT.

Statement 1 & 2
Statement 2 tells us that we can take any 20 cans, and their average capacity will be 25 liters. In other words, the total capacity of any 20 cans will be 500 liters. This is a big statement, since it tells us that every small can must have a capacity of 25 liters.

So, if every small can has a capacity of 25 liters, then 15 of those cans will have a total capacity of 375, in which case all of the milk from these cans will definitely fit into the large can.

So, the answer is C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 am
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times
Followed by:14 members

by [email protected] » Tue Mar 13, 2012 4:55 am
Yes the answer turns out to be C without any doubt...
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
Post new topic Post Reply
• Page 1 of 1