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1st option P=Q is not sufficient. 2nd option Q2=R2 is also not sufficient.

now take the case of both the options Since q and R are postive so combining both will give p=q=r hence it is possible to deduce the answer whether p,q and r are equal or not.

as it is mentioned in the problem that p,q,r are all positive integer, q and r should be greater than zero, that is, q=r>0 (q=-r is eliminated; q=+r<0 is eliminated)

since statement one tells that p=q, then if we combine statement one and two, we get p=q=r>0.

I also selected E. Need to pay more attention to the question stem. Does anyone write down the question before solving as a best practice? I think that is absolutely critical, and essentially is the reason this question is hard.

Of course GC needs time to choose a good question. Question of the day is the day for us to solve the question, not the day the question was posted. i mean seeing it in the inbox.
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