At a party, every 3rd guest gets a wallet, every 6th guest gets a mug and every 10th guest gets a cup. What is the position of the first guest that will get all three gifts?
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 6: 6, 12, 18, 24, 30
Multiples of 10: 10, 20, 30
Position of first guest that receives all 3 gifts
= Lowest common multiple of 3, 6, 10
= 30
Answer(s): 30
