At a party, every second guest gets a keychain, every third guest gets a cup and every fifth guest gets a pen. What is the position of the fifth guest that will get all three gifts? Give the answer in number(s). (Eg 1)
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 5: 5, 10, 15, 20, 25, 30
Position of the first guest that receives all 3 gifts
= Lowest common multiple of 2, 3, 5
= 30
Position of the fifth guest that receives all 3 gifts
= 5 x 30
= 150
Answer(s): 150
