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A house has \(x\) cakes and \(y\) people, with \(x\ge 2\) and \(y\ge 1.\) How many values of \(y\) are there, such that all the cakes can be distributed among the people, with each receiving an equal number and none left over?
(1) \(x=a^2b^3,\) where \(a\) and \(b\) are distinct primes.
(2) \(b=a+1,\) where \(a\) and \(b\) are distinct primes.
Answer: A
Source: Veritas Prep
(1) \(x=a^2b^3,\) where \(a\) and \(b\) are distinct primes.
(2) \(b=a+1,\) where \(a\) and \(b\) are distinct primes.
Answer: A
Source: Veritas Prep
