9. There are between 100 and 110 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?
(A) 101
(B) 103
(C) 106
(D) 107
(E) 109
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Answer is A
ReplyDeletelet number of cards be n
ReplyDeletecase (i) counted out 3 at a time, there are 2 left over :-
Possible number: 101, 104, 107
case (ii) counted out 4 at a time, there is 1 left over :-
Possible number: 101,105,109
Common nuber is : 101