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.  Choose the correct choice from the following options.
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&gt;=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 16(16).
<result>B</result>
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.