There are two planes headed towards each other. One plane is traveling at 15 kilometers per minute, and the other is traveling at 10 kilometers per minute. Assuming that the planes are exactly 1000 kilometers apart, what distance will be between them one minute before they meet?

A king is on a cross-sea voyage and as soon as he gets off of the ship he spots an elephant. He decides to take it home, but first, he wants to know its weight.

The largest scale they brought only weighs up to 50 pounds. He asks his smartest scholar to come up with a solution. How does the scholar find the weight of the elephant?

A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, the second is full of assassins with loaded guns, and the third is full of lions that haven’t eaten in 3 years. Which room is safest for him?

Diophantus was a Greek mathematician. Little is known about the life of Diophantus except for an algebraic riddle from around the early sixth century. The riddle states:

Here lies Diophantus,’ the wonder behold.
Through art algebraic, the stone tells how old:
‘God gave him his boyhood one-sixth of his life,
One twelfth more as youth while whiskers grew rife;
And then yet one-seventh ere marriage begun;
In five years there came a bouncing new son.
Alas, the dear child of master and sage
After attaining half the measure of his father’s life chill fate took him.
After consoling his fate by the science of numbers for four years, he ended his life.’

How many years did Diophantus live based on the riddle?