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# A merchant has 3 kinds of wine. 403 gallons of first kind, 527

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Senior Manager
Joined: 10 Apr 2018
Posts: 267
Location: United States (NC)
A merchant has 3 kinds of wine. 403 gallons of first kind, 527  [#permalink]

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Updated on: 11 Apr 2019, 12:50
1
5
00:00

Difficulty:

95% (hard)

Question Stats:

27% (02:24) correct 73% (02:32) wrong based on 49 sessions

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A merchant has 3 kinds of wine. 403 gallons of first kind, 527 gallons of second kind & 589 gallons of third kind. Find the least number of casks of equal size in which the wine can be stored without mixing.

(A) 49
(B) 31
(C) 19
(D) 17
(E) 13

_________________
Probus

~You Just Can't beat the person who never gives up~ Babe Ruth

Originally posted by Probus on 11 Apr 2019, 12:48.
Last edited by Bunuel on 11 Apr 2019, 12:50, edited 1 time in total.
Renamed the topic.
Intern
Joined: 31 May 2018
Posts: 13
Location: India
GPA: 4
Re: A merchant has 3 kinds of wine. 403 gallons of first kind, 527  [#permalink]

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11 Apr 2019, 13:12
1st kind of wine = 403
2nd kind of wine = 527
3rd kind of wine = 589

HCF of 403, 527, 589 = 31

least number of casks required = $$\frac{403+527+589}{31}$$ = $$\frac{1519}{31}$$ = 49

Intern
Joined: 01 Jan 2019
Posts: 2
Location: India
GMAT 1: 580 Q39 V31
Re: A merchant has 3 kinds of wine. 403 gallons of first kind, 527  [#permalink]

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14 Aug 2019, 20:43
manishasingh wrote:

HCF of 403, 527, 589 = 31

Anyway you used a trick to evaluate the HCF at 31? Cause 31 is kind of far in the prime table...
Intern
Joined: 30 Dec 2014
Posts: 2
GMAT Date: 03-14-2015
A merchant has 3 kinds of wine. 403 gallons of first kind, 527  [#permalink]

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15 Aug 2019, 04:03
Can I not have 3 casks of 600 gallons each? They can comfortably store all the wine without mixing.

Probably we have to focus only on the available options rather than determine the overall least number of casks that do the job.
A merchant has 3 kinds of wine. 403 gallons of first kind, 527   [#permalink] 15 Aug 2019, 04:03
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