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# A pub owner has three different kinds of beer of quantities

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Senior Manager
Joined: 30 Aug 2003
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A pub owner has three different kinds of beer of quantities [#permalink]  09 Jan 2004, 13:05
A pub owner has three different kinds of beer of quantities 82 litres, 123 litres, and 205 litres respectively. Find the least number of cannisters of equal size required to store all the beer without mixing.

a. 9
b. 10
c. 12
d. 15
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Pls include reasoning along with all answer posts.
****GMAT Loco****
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Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 26

Kudos [?]: 216 [0], given: 0

10

82 = 2*41
123 = 3*41
205 = 5*41
Total is 2+3+5 cannisters of equal size (41liters)
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Best Regards,

Paul

Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Director
Joined: 28 Oct 2003
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Location: 55405
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Kudos [?]: 10 [0], given: 0

Why isn't it three?

The question does not state that the canisters must be filled to the rim.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 26

Kudos [?]: 216 [0], given: 0

Stoolfi is doing some serious CR - Weaken the question lately
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Best Regards,

Paul

Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

SVP
Joined: 30 Oct 2003
Posts: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

82+123+205 = 410

this can be factorised as 41*10
So the minimum number of cans required to completely fill each can without mixing = 10

Again largest common factor among them is 41. The problem can be solved this way as well
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
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Kudos [?]: 216 [0], given: 0

I see. But I still think it's better by breaking it down to factors. It's easier to see the 41 stand out. But for an accustomed eye, your way is sure easier
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Best Regards,

Paul

Intern
Joined: 09 Dec 2003
Posts: 20
Location: Stockholm
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Kudos [?]: 0 [0], given: 0

I didn't like this problem. We could have a canister of 82 liters, and in that case the answer would be 5
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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 26

Kudos [?]: 216 [0], given: 0

It cannot be 82 because it is not a common factor to 123 and 205...
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Best Regards,

Paul

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# A pub owner has three different kinds of beer of quantities

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