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

Question

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

DesiGmat · Answer

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

jaxndaxt145 · Answer

I agree with C. This looks like a LCD problem.

chetan2u · Answer

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

zilliongmat · Answer

least common multiple for 6 and 27 is 54. So, answer is C

LaxAvenger · Answer

Answer is the LCM of 6 and 27

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

Answer C

PareshGmat · Answer

Answer = C = 54

Its LCM of 6 & 27 = 27*2 = 54

EMPOWERgmatRichC · Answer

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.

Final Answer:  C

GMAT assassins aren't born, they're made,
Rich

OptimusPrepJanielle · Answer

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. -- Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: https://www.optimus-prep.com/gmat-on-demand-course

Bunuel · Answer

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.

Answer: C.

ScottTargetTestPrep · Answer

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

Answer: C

BrentGMATPrepNow · Answer

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

SonamRa · Answer

Factors of 27 = 3*3*3
Factors of 6 = 3*2
So LCM = 3*3*3*2 =54
So answer is 54
There can be two shipments of truck with 27 each and 9 shipments of boat with 6 each

Posted from my mobile device

Kinshook · Answer

6= 2*3
27 = 3^3

Smallest number of boxes = LCM(6,27) = 2*3^3 = 54

IMO C

bumpbot · Answer

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