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# A small table has a length of 12 inches and a breadth of b inches

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Manager
Joined: 10 Feb 2014
Posts: 104
GMAT 1: 690 Q50 V33
A small table has a length of 12 inches and a breadth of b inches  [#permalink]

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07 Apr 2015, 03:43
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Difficulty:

95% (hard)

Question Stats:

36% (02:45) correct 64% (02:55) wrong based on 92 sessions

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A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 48 inches. Find b.

A. 8

B. 16

C. 24

D. 32

E. 48
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Re: A small table has a length of 12 inches and a breadth of b inches  [#permalink]

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07 Apr 2015, 07:10
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itzmyzone911 wrote:
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 48 inches. Find b.

A. 8

B. 16

C. 24

D. 32

E. 48

From the info that the maximum sides of the cubes is 4, we know that the GCF of 12 (=2^2*3) and "b" is 4 (=2^2), so "b"=2^x, where x>=2.
From the second premise, we know that the LCM of 12 (2^2*3) and "b" is 48 (2^4*3), so "b"=2^4 or 2^4*3 (16 or 48).
Combining 2 premises shows the answer is B(16).
##### General Discussion
Manager
Joined: 17 Mar 2015
Posts: 116
A small table has a length of 12 inches and a breadth of b inches  [#permalink]

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07 Apr 2015, 05:10
Weird question. from the first glance I think the information about small cubes is redundant and then I can't choose between B and E.
Option B gives us an arrangement of 12 tables (in a 3 X 4 formation), option E - 4 tables in a 4X1 formation.
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Re: A small table has a length of 12 inches and a breadth of b inches  [#permalink]

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20 Jul 2016, 21:09
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itzmyzone911 wrote:
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 48 inches. Find b.

A. 8

B. 16

C. 24

D. 32

E. 48

Info 1: Maximum side of the cube: 4 inches.
Choices A, B, D possible i.e., 12,8 possible, 12, 16 possible, 32, 12 possible. For choices c and e greater cube sides possible. So ruled out

Info 2:Minimum size of the square:48 inches

For choice a 24 inch square possible , so ruled out . For choice D 48 inch square not possible. So ruled out

For choice b minimum 48 inch square possible, so is the right choice
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Re: A small table has a length of 12 inches and a breadth of b inches  [#permalink]

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21 Oct 2017, 11:46
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Re: A small table has a length of 12 inches and a breadth of b inches &nbs [#permalink] 21 Oct 2017, 11:46
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