There are between 90 and 100 cards in a collection of cards. If they are counted out 3 at a time, there is 1 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?  Answers: A) 91 B) 93 C) 95 D) 97 E) 99
The numbers with the form 4n+1 are 93 and 97.   Only 97 has the form 3k+1.   The answer is 97.
<result>D</result>
There are between 90 and 100 cards in a collection of cards. If they are counted out 3 at a time, there is 1 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?