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At a particular moment, a restaurant has x biscuits and y

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by BTGmoderatorDC » Mon Mar 08, 2021 6:12 pm

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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^2b^3, where a and b are different prime numbers
(2) b=a+1


OA A

Source: Manhattan Prep
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