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 24 inches. Find b.
Choices:  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) andbis 4 (=2^2), sob=2^x, where x&gt;=2.   From the second premise, we know that the LCM of 12 (2^2*3) andbis 24 (2^3*3), sob=2^3 or 2^3*3 (8 or 24).   Combining 2 premises shows the answer is 8(8).
<result>A</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 24 inches. Find b.