There are between 70 and 80 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 most appropriate option:
A) 71 B) 73 C) 76 D) 77 E) 79
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 71 , 77   If the cards are counted 4 at a time , there is 1 left over   x= 4q+1   x can take values 73, 77   Therefore , x = 77   Answer 77
<result>D</result>
There are between 70 and 80 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?