Long Riddles

Long riddles with answers test your problem solving skills. These lengthy puzzles test your ability to piece together information and find the answer.

Rich Merchant’s Gold Coins

A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, “How many gold coins do we have?”

After pausing a moment, he replied, “Well! If I divide the coins into two unequal numbers, then 32 times the difference between the two numbers equals the difference between the squares of the two numbers.”

The wife looked puzzled. Can you help the merchant’s wife by finding out how many gold coins they have?

Riddle Answer

King’s Proposal

A king finds a woman he wants to marry but she refuses. But since he is the king, she has no choice.

The king gives her a deal: he will write ‘Yes’ and ‘No’ on two pieces of paper. The papers will be put into a hat and she will choose one. If it says yes, then she will marry him, if it says no, then she will not marry him.

The only problem is that the king cheats by placing two pieces of paper that say yes into the hat, but the woman is the only one who sees this.

How can the woman avoid marrying the king?

Riddle Answer

King-size Conundrum

A medieval king needed to work out how he could recruit fighting men for the battle ahead. However, there were so many distractions around the castle, his thinking became confused. So in order to change his daze into knights, he asked for a secluded walk to be made so he could ponder in peace.

The head gardener was given the job of planting lines of high bushes. First, he planted a line running 100 paces east. Then from the end of that line he planted a line 100 paces north, then 100 west, 98 south, 98 east, 96 north, 96 west, and so on. This made a square spiral path 2 paces wide.

If the king intended to walk down the middle of the path, how long was the path?

Riddle Answer

4 Days for School

A student has missed an excessive number of days at school and thus the principal called him to his office and requested for an explanation.

The student said, “There just isn’t enough time for school. I need 8 hours of sleep a day, which adds up to about 122 days a year. Weekends off is 104 days a year. Summer vacation is about 60 days. If I spend about an hour on each meal, that’s 3 hours a day or 45 days a year. I need at least 2 hours of exercise and relaxation time each day to stay physically and mentally fit, adding another 30 days. Add all of that up and you get about 361 days. That only leaves 4 days for school.”

The principal is confused, but can’t figure out why. What is wrong with the student’s argument?

Riddle Answer

The Three Gods

Three Gods A, B, and C are called, in no particular order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter.

Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one God. The Gods understand English, but will answer all questions in their own language, in which the words for yes and no are “da” and “ja”, in some order. You do not know which word means which.

  1. It could be that some God gets asked more than one question (and hence that some God is not asked any question at all).
  2. What the second question is, and to which God it is put, may depend on the answer to the first question. (And of course similarly for the third question.)
  3. Whether Random speaks truly or not should be thought of as depending on the flip of a coin hidden in his brain: if the coin comes down heads, he speaks truly; if tails, falsely.
  4. Random will answer “da” or “ja” when asked any yes-no question.

What would your three questions be?

Riddle Answer