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# The number of boxes in a warehouse can be divided evenly into 6 equal

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 07:52
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5% (low)

Question Stats:

88% (01:00) correct 12% (01:14) wrong based on 124 sessions

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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

Kudos for a correct solution.

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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 08:19
1
Here we go:

6 = 3 * 2
27 = 3*3*3

Smallest number of boxes that could be in the warehouse = 3 * 3 * 3 * 2 = 54

Option C is correct
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 08:55
I agree with C. This looks like a LCD problem.
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 09:09
Bunuel wrote:
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

Kudos for a correct solution.

the answer has to be LCM or its multiple..
here since we aare asking lowest then LCM itself...
LCM of 6 and 27 is 54
ans C 54
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 09:51
1
least common multiple for 6 and 27 is 54. So, answer is C
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 11:07
Answer is the LCM of 6 and 27

--> 2 * 3 * 3 *3 = 54

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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 21:07

Its LCM of 6 & 27 = 27*2 = 54
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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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24 Feb 2015, 23:25
1
Hi All,

Since the answers ARE numbers and we're asked (in a really wordy way) for the smallest common multiple of 6 and 27, we can TEST THE ANSWERS.

Answer A: 27. Is this a multiple of 6 and 27. NO and YES. Eliminate A.

Answer B: 33. Is this a multiple of 6 and 27. NO and NO. Eliminate B.

Answer C: 54. Is this a multiple of 6 and 27. YES (6x9) and YES (27x2). This is the answer.

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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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28 Feb 2015, 07:44
Bunuel wrote:
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

Kudos for a correct solution.

This is just another way of asking you to find LCM of 2 numbers.
The smallest or least common multiple = LCM(6,27)
= 54
Hence option C.

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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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02 Mar 2015, 06:35
Bunuel wrote:
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

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:

This tells us that the number of boxes is evenly divisible by both 6 and 27; in other words, it’s a common multiple of 6 and 27. The question says: what’s the smallest value it could have? In other words, what’s the LCM of 6 and 27? (This question is one example of a real-world set-up where the question is actually asking for the LCM.)

Step (a): 6 = 2*3 27 = 3*3*3

Step (b): 6 = 2*3 27 = 3*3*3 GCF = 3

Step (c): 6 = 3*2 27 = 3*9

Step (d) LCM = 3*2*9 = 54

Thus, 54 is the LCM of 6 and 27.

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Re: The number of boxes in a warehouse can be divided evenly into 6 equal  [#permalink]

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28 Feb 2018, 11:26
Bunuel wrote:
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

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

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Re: The number of boxes in a warehouse can be divided evenly into 6 equal   [#permalink] 28 Feb 2018, 11:26
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