If the number of students in each of three groups are in the ratio 8:9:10, and also the number of students in each group is a multiple of 5. then the following statements are true.
I. The product of number of students of each group is divisible by both 2 and 3.
II. The product of number of students of each group is divisible by 125
III. The product of number of students of each group is divisible by 125, 2 and 3
Pick: A) I B) II C) III D) All of the above E) None of the above
The product of consecutive positive integers are divisible by both 2 and 3.   Since the number of students in each group is divisible by 5, the product will be divisible by 125   Hence statement III is correct.   Answer:All of the above
<result>D</result>
If the number of students in each of three groups are in the ratio 8:9:10, and also the number of students in each group is a multiple of 5. then the following statements are true.
I. The product of number of students of each group is divisible by both 2 and 3.
II. The product of number of students of each group is divisible by 125
III. The product of number of students of each group is divisible by 125, 2 and 3