If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is T:  Options.
A) T=1	B) T=2	C) T=3	D) T=4	E) T=5
10p/96 should resolve to a integer =&gt; 5p/48 should resolve to an integer.   Hence p/48 should resolve to a integer.   48 -- &gt; 2^4 * 3.   Hence p should have atleast 2^4*3 for p/48 to resolve to a int.   The unique prime factors in 2^4 * 3 is 2, 3 and hence the answer is T=2(2).
<result>B</result>
If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is T: