Remainders

Shirley packed 163 lollipops into plastic bags of 7 lollipops. She used the most number of plastic bags possible. She sold each plastic bag of lollipops at $6 and each remaining lollipop at $2. How much did she get after selling all the lollipops?

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Joshua had more than 10 and fewer than 40 candies. When she packed the candies in bags of 7, she was left with 2 candies. When she packed them in bags of 3, she had no candies left. How many candies did Joshua have?

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What is the smallest number greater than 1 that leaves a remainder of 1 when it is divided by 2, by 3 and by 4?

(A) 7   (B) 9   (C) 13   (D) 25   (E) 49

answer (A) (B) (C) (D) (E)