Question

Q10Three painters Ron, Victor and Shelly are painting the rooms of a hotel which are numbered from 15 – 200. Ron has to work in all the rooms. Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5. In which rooms will they all work together?

Answer 1

Answer:

15,30,45,60,75,90,105,120,135,150,165,180,195

Thus 13 rooms are common for all three

Step-by-step explanation:

Ron is working in all rooms 15 -200

Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5.

The common numbers for Victor and Shelly

are multiple of 3*5=15

These are: 15,30,45,60,75,90,105,120,135,150,165,180,195

Thus 13 rooms are common for all three

Answer 2

Q10Three painters Ron, Victor and Shelly are painting the rooms of a hotel which are numbered from 15 – 200. Ron has to work in all the rooms. Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5. In which rooms will they all work together?