Hello WTP,
I'm not sure what you mean by different solutions, but here is my attempt to solve the problem. It took approximately 2 minutes & 4 seconds.

QUESTION
Is ad > bc?
This is a Yes/No question.

STATEMENT 1
a/b > c/d

• If both b and d are positive, then we can cross multiply to get ad > bc, which would answer the question "Yes."
• If both b and d are negative, then we can again cross multiply to get ad > bc, leading to "Yes" again:
  a/b(-) > c/d(-)
  = a < bc(-)/d(-)
  = ad(-) > bc(-)
  Which is the same as ad > bc.
• If either b or d is negative, then we will have an answer of "No" :
  a/b(-) > c/d(+)
  = a < bc(-)/d(+)
  = ad(+) < bc(-)

INSUFFICIENT.


STATEMENT 2
b/d > 0
This statement says that both b and d have the same sign, which in and of itself is insufficient to answer the question because there is no information about a and c.
INSUFFICIENT.


STATEMENTS 1 & 2
Looking over the work from STATEMENT 1, we can see that if b and d both have the same sign, then we get the same answer for the posed question, "Yes, ad > bc."
[spoiler]SUFFICIENT. The answer is C, I hope![/spoiler]


Hope this helps!
--Rishi

prompt asks us whether ad>bc ?. Let us rephrase it to read, is ad-bc>0?

Statement 1

a/b>c/d

a/b-c/d>0
(ad-bc)/bd >0. this tells us that in order for the inequality to hold, both the numerator and denominator should bear the same sign.i.e either ad-bc>0 and bd>0 or ad-bc<0 and bc<0. Insufficient

Statement 2
b/d>0. This doesn't mention a and c. Insufficient. But we do know from this that both b and d have the same sign

Statement 1 and 2
We know from statement 2 that b and s should have the same sign, this satisfies one of the values obtained in statement 1. Sufficient