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At a particular moment, a restaurant has \(x\) biscuits and \(y\) patron(s), with \(x>2\) and \(y>1.\) How many values of \(y\) are there, such that all the biscuits can be distributed among the patrons, with each patron receiving an equal number of whole biscuits and with no biscuits left over?
(1) \(x=a^2\cdot b^3,\) where \(a\) and \(b\) are different prime numbers
(2) \(b=a+1\)
Answer: A
Source: Manhattan GMAT
(1) \(x=a^2\cdot b^3,\) where \(a\) and \(b\) are different prime numbers
(2) \(b=a+1\)
Answer: A
Source: Manhattan GMAT
