There are between 120 and 130 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 options:
A) 121 B) 123 C) 125 D) 127 E) 129
The numbers with the form 4n+1 are 121, 125, and 129.   Only 125 has the form 3k+2.   The answer is 125.
<result>C</result>
There are between 120 and 130 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?