Question

In a warehouse, there are $192$ identical carton boxes. These cartons are to be arranged in rows, having an equal number of cartons in each row. Which of the following is the possible number of cartons in each row such that there is a minimum number of rows.

• A. 3
• B. 4
• C. 8
• D. 14

Answer 1

The correct option is C 8

$\text{Total number of carton boxes}$
$=\text{Number of rows of carton}\times \text{Number of cartons in each row}$

For minimum number of rows, the number of cartoons in each row should be maximum.

From the given options, the largest number is $14.$
However, $192$ is not divisible by $14.$

The second largest number is $8.$
$192$ is divisible by $8$ evenly.
$\frac{192}{8}=24$

$\therefore 8$ is the required number of cartons in each row.