So lets say p/q = 3/4 and r/s = 2/3 then p/q > r^2/s would be false

Now lets say that p/q= 1/3 and r/s = 1/4 then p/q > r^2/s would be true.

Statement (1) Insufficient

With statement (2) only knowing the value of r clearly doesn't give us any insights to the values of the other 3 variables.

(2) Insufficient

Combining statements 1 and 2 if the numerator r is always 1 that means its unchanged when squared. The only way for p/q to be greater than r/s but less than r^2/ s is when r equals a value greater than 1.

(1) and (2) sufficient.

Thanks Orisus!

the only thing i wanted to know was about r^2

thanks!

so in this case, randomly choosing values for p, q, r and s works? is there any other type of generalized method, too?

I dont really think it matters whatever value u do take of p , q,r and s...
The answer would remain the same as we r dealing with ratios after all...
the only think important here was r^2 as it would have two values ...which is getting cleared in the second statement...hence both together are sufficient to answer the question.!

tnguyen wrote:so in this case, randomly choosing values for p, q, r and s works? is there any other type of generalized method, too?