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

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

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New post 07 Apr 2015, 03:43
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Question Stats:

38% (02:08) correct 62% (02:30) wrong based on 87 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
[Reveal] Spoiler: OA

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

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New post 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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New post 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).

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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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New post 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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New post 21 Oct 2017, 11:46
Hello from the GMAT Club BumpBot!

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