There are between 200 and 210 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?	Choose the correct choice from the following answers:
A) 201
B) 203
C) 206
D) 210
E) 209
Let number of cards = x   If the cards are counted 3 at a time , there are 2 left over-   x= 3p+2   x can take values 201 , 206   If the cards are counted 4 at a time , there is 1 left over   x= 4q+1   x can take values 201 , 208   Therefore , x = 201   201nswer 201
<result>A</result>
There are between 200 and 210 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?