How many more favors to buy?

Sheila, buying favors for a party she was giving, was having difficulty deciding on how many more favors to buy. She started out by planning to give everyone three favors, but when she divided the favors she had by 3, she had one left over; when she divided by 4, she had two left over; by 5, she had three left over; and by 6, she had four left over. Since she was going to have ten guests, this wouldn’t work. She counted the favors and realized that, by adding two more, she could divide the favors evenly What is the smallest number of favors she could already have bought to meet those specifications?

_
Click here for the solution

Sheila had fifty-eight favors and planned to buy two more.

more riddles

How does the man escape?

A man is trapped in a room. The room has only two possible exits: two doors. Through the first door there is a room constructed from magnifying glass. The blazing hot sun instantly fries anything or anyone that enters. Through the second door there is a fire-breathing...

read more

Five-digit number

What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the second, the fourth is four times the first, and the last is one-half more than the second? The number is: 26789 more...

read more

The peanuts and the monkey

Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night, one of the men got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut...

read more

How many children does Mr. Smith have?

Mr. Smith has 4 daughters. Each of his daughters has a brother. How many children does Mr. Smith have? He has 5 children, all of the daughters have the same 1 brother. more riddlesDonec rutrum congue leo eget malesuada....

read more