Four siblings—Dan, Eli, Fay, and Guy—were born in four different years: 2000, 2002, 2005, and 2008, though not necessarily in that order. - Dan is older than Fay. - Eli was born in an even year and is younger than Guy. - Guy was not born in 2000. In what year was Eli born?
2008
Available years are 2000, 2002, 2005, 2008. Eli was born in an even year (2000, 2002, or 2008) and is younger than Guy. Guy was not born in 2000, so Guy could be 2002, 2005, or 2008. Since Eli is younger than Guy, Eli must be born after Guy. The only even year left for Eli that allows someone to be older is 2008 (with Guy in 2005, wait, 2005 is odd). Let's trace carefully: Eli is even (2000, 2002, 2008). Guy is not 2000. If Guy is 2002, Eli could be 2008. If Guy is 2005, Eli could be 2008. Since Dan > Fay and Eli < Guy, let's test Eli = 2008 (the youngest possible even year). If Eli is 2008, Guy must be older than Eli, so Guy is 2000, 2002, or 2005. But Guy is not 2000, so Guy is 2002 or 2005. This fits!
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: Hard. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
More logic riddles
A grandfather, his son, and his grandson share the same birthday. The grandfather's age in years is equal to the grandson's age in months. The sum of all three of their ages is 120 years. How old is the father?
Four statues—Bronze, Silver, Gold, and Platinum—stand in a hall. Exactly one contains a hidden key. The Bronze statue says: 'The key is in Gold.' The Silver statue says: 'The key is not in me.' The Gold statue says: 'The key is in Platinum.' The Platinum statue says: 'Gold is lying.' If exactly one statement is true, which statue holds the key?
Two fathers and two sons went on a fishing trip. Each person caught exactly one fish, yet they brought home only three fish in total. How is this possible?
Five runners finish a school marathon, and only these facts survive. Jonas finished ahead of Nico. Elena finished ahead of Jonas. Mara finished ahead of Dmitri. Nico finished ahead of Mara. Who finished last?
A silent clock hangs on a wall. It loses exactly two minutes every hour. Exactly how many times in a continuous 24-hour period does this broken clock display the exact correct time?
If you multiply all the digits present on a standard telephone keypad (0 through 9), what is the final product?

