1. Several students are seated at a large circular table. They pass around a bag

Question

1. Several students are seated at a large circular table. They pass around a bag containing 100 pieces ofcandy. Each person receives the bag, takes one piece ofcandy and then passes the bag to the next person. If Christakes the first and the last piece of candy, then the number ofstudents at the table could be: a. 10   b. 11   c.19     d. 20   e. 25 1. Several students are seated at a large circular table. They pass around a bag containing 100 pieces ofcandy. Each person receives the bag, takes one piece ofcandy and then passes the bag to the next person. If Christakes the first and the last piece of candy, then the number ofstudents at the table could be: a. 10   b. 11   c.19     d. 20   e. 25

Explanation / Answer

There has to be 1 left after an integer number of rotations, so 100 = 10*10 + 0   No 100 = 9*11 + 1   Yes 100 = 5*19 + 5   No 100 = 5*20 + 0   No 100 = 4*25 + 0   No b

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