At a party, every third guest gets a cup, every fourth guest gets a pen and every fifth guest gets a mug. What is the position of the third guest that will get all three gifts? Give the answer in number(s). (Eg 1)
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
Position of the first guest that receives all 3 gifts
= Lowest common multiple of 3, 4, 5
= 60
Position of the third guest that receives all 3 gifts
= 3 x 60
= 180
Answer(s): 180
