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stmnt A) gives unique value for Z and a combination of values for X and Y so it is insufficient
stmnt B) gives two ratios that are insufficient to determine the ratio of X:Y:Z if you substitute you get 2Y:Y:(Y/4) and the ratio depends on the value of Y.
From both when Z=1 then Y=4 and X=8 so think that C) is the ans.
hope it helps
(1) xy=32, there are many ways to write 32 as the product of 2 numbers (e.g. 16*2, 1*32, 8*4) So, it's insufficient.
(2) two ratios are given x/y and y/z, so they can be combimed to form x:y:z. B it is. _________________