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

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Manager
Joined: 10 Apr 2018
Posts: 227
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
00:00

Difficulty:

55% (hard)

Question Stats:

20% (01:47) correct 80% (02:47) wrong based on 10 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

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

Re: A merchant has 3 kinds of wine. 403 gallons of first kind, 527   [#permalink] 11 Apr 2019, 13:12
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