Seventy-four pencils were packed into 13 boxes. If the maximum capacity of each box is six pencils, what is the minimum number of pencils that can be in a box?
(a) 1
(b) 2
(c) 3
(d) 4
(e) 6
The correct option is (b).

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 $13 \times 6=78$ is greater than the total number of pencils, which is 74. In 12 boxes we can have $12 \times 6=72$, leaving one box with $74-72=2$ pencils.