Problem Solving MCQ Set 3

Question: If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer?

1. xyz
2. (x - y) (y - z)
3. x - yz
4. x(y + z)
5. x + y + z

Question: At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?

1. 12
2. 16
3. 20
4. 24
5. 30

Question: What is the greatest value of a positive integer n such that 3n is a factor of 1815?

1. 15
2. 18
3. 30
4. 33
5. 45