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The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck.

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by BTGModeratorVI » Thu Aug 27, 2020 12:07 pm
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The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?

(A) 27
(B) 33
(C) 54
(D) 81
(E) 162

Answer: C
Source: Magoosh
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by tru

by dollydevashryee » Thu Aug 27, 2020 6:38 pm
Since the shipments are being divided equally by 6 and 27, we need the LCM of the two numbers.

LCM(6, 27) = 54 -> C
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by tru

by Scott@TargetTestPrep » Wed Sep 02, 2020 5:41 am
BTGModeratorVI wrote: ↑
Thu Aug 27, 2020 12:07 pm
 The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?

(A) 27
(B) 33
(C) 54
(D) 81
(E) 162

Answer: C
Solution:

To solve, we just need to determine the least common multiple of 6 and 27, which is 54.

Answer: C

Scott Woodbury-Stewart
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by tru

by Brent@GMATPrepNow » Wed Sep 02, 2020 9:48 am
BTGModeratorVI wrote: ↑
Thu Aug 27, 2020 12:07 pm
 The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?

(A) 27
(B) 33
(C) 54
(D) 81
(E) 162

Answer: C
Source: Magoosh
This question is basically asking us to find the least common multiple (LCM) of 6 and 27

The LCM of 6 and 27 = 54

Answer: C

Cheers,
Brent

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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