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Is p/q>r^2/s?

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Source: — Data Sufficiency |
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by Osirus@VeritasPrep » Tue Jan 26, 2010 6:02 am
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.
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by bhumika.k.shah » Tue Jan 26, 2010 6:51 am
Thanks Orisus! :D

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

thanks! :D
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by tnguyen » Tue Jan 26, 2010 1:56 pm
so in this case, randomly choosing values for p, q, r and s works? is there any other type of generalized method, too?
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by bhumika.k.shah » Tue Jan 26, 2010 4:34 pm
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?
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