I agree with gabriel, the ans should be C
5000 =2^3 * 5 ^4
however the question doesn't mention that x & y are integers
which is a must on the GMAT to work with integers
so here we cannot assume that x & y are integers, hence they can be fractions (decimals)
so stmt 1 : says that y is +ve integer , but we cannot assume that x is an integer, it may still be a fraction, In these cases one should just assume and not try to solve as when we use fractions specially with exponents there is very high probabilty that we may get a decimal nos, suppose in this case if we assume that x is fraction we may get a value like 4999.9..
or 5000.0... when multiplied with integer value of y which may not be 5.
Now such a decimal value can be considered 5000.
So it is NOT SUFF
stm2 : this reassures us that x is an integer but same logic above can be used to convey that y is a decimal.
combined: then we can say that both are integers and then x=2 & y=5
ONE IMPORTANT thing that I would like to add through my observations, here is that if you causually let off a DATA SUFFICIENCY statement like the second one here, there is a good chance that your answer will be incorrect. So before locking an answer one needs to carefully analyse what role a statement plays in the context of the problem, no matter how adjunct the statement may seem.
Thanks
Samir
