p/(q^2)=?
st(1) p/(q^2)=c where c is a positive integer. Not Sufficient as c can be anything;
st(2) q/p=b where b is a positive integer and p=bq. Not Sufficient as p/(q^2)=bq/(q^2)=b/q and b can be any value
combined st(1&2): b/q=c, q=b/c --> from st(2) q=bp hence bp=b/c, p=1/c; from st(1) p=c*(q^2) hence 1/c=c*(q^2), 1=(cq)^2 since positive numbers cq=1 and p/(q^2)=c <> p=c*q^2, p=1*q or p=q
p/(q^2)=1/q <> b/q=1/q and b=1 with b/q=c, 1/q=c can be positive integer only if q=1
p/(q^2)=1, Sufficient
c
artstudent wrote:If p and q are positive integers, what is the value of p/(q^2)?
(1) p is a multiple of q^2.
(2) q is a multiple of p.
