A collector has a shelf of ancient coins. Half of the coins are gold, a quarter are silver, a sixth are bronze, and the remaining 3 are copper. How many total coins are on the shelf?
36 coins.
Fractions: 1/2 + 1/4 + 1/6 = 6/12 + 3/12 + 2/12 = 11/12 of the collection. The remaining fraction is 1/12, which equals 3 coins. Therefore, 3 * 12 = 36 total coins.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
More logic riddles
The flag is bigger than the parade float, and the firework is bigger than the flag. Which one is the middle size?
If you rearrange the letters of the word 'SILENT', you get the word 'LISTEN'. What single English word can be formed by rearranging the letters of 'NEW YORK TIMES'?
A drawer contains 10 black socks and 10 white socks mixed together in total darkness. What is the minimum number of socks you must pull out to guarantee you have at least one matching pair of any color?
The bunny is smaller than the rabbit, and the rabbit is smaller than the carrot. Which one is the biggest?
Four runners—Dan, Eli, Fay, and Gus—finished a race in four different positions. Dan finished ahead of Eli. Fay finished directly behind Gus. Eli did not finish last. In what order did they finish, from first to last?
A shepherd has sheep, goats, and cows. All of them except 12 are sheep, all of them except 14 are goats, and all of them except 16 are cows. How many animals does the shepherd have in total?

