In 13 boxes, 74 pencils were packed. If the maximum capacity of each box is 6 pencils, what is the minimum number of pencils that can be in a box?
(a) 1
(b) 2
(c) 3
(d) 4
(e) 6
Let's see in how many boxes we can place the maximum number of pencils, which is 6 per box. In 13 boxes it is not possible, because $13 \times 6=78$, which is greater than the number of pencils 74. In 12 boxes we would have: $12 \times 6=72$. Thus, there would be one box with $74-72=2$ pencils. Therefore, the correct option is (b).