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this is a quality question. , that covers all the concepts of number theory and the word problem...
since we know that x = ky so to know how many possible pairs of (x,y) exist we just need to know number of factors of x now stmt1 says x= a^2*b^3.. then just by using number theory formula to find factors of composite number which can be expressed as multiples of prime , number of factors of x = 3*4 =12 hence A is itself sufficient.. I loved this question great job jsloan
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