Logic riddles

interviewlogicsimple

One day a scholar came to the court of Emperor Akbar and challenged Birbal to answer his questions and thus prove that he was as clever as people said he was. He asked Birbal: "Would you prefer to answer a hundred easy questions or just a single difficult one?" Both the emperor and Birbal had had a difficult day and were impatient to leave. "Ask me one difficult question," said Birbal. "Well, then tell me," said the man, "which came first into the world, the chicken or the egg?" "The chicken," replied Birbal, very confidently. "How do you know?" asked the scholar, a note of triumph in his voice. What did Birbal answer to this?
Birbal told the scholar, "We had agreed you would ask only one question and you have already asked it" and he and the emperor walked away leaving the scholar gaping.
74.29 %
70 votes
logicmathcleanclever

You are on a gameshow and the host shows you three doors. Behind one door is a suitcase with $1 million in it, and behind the other two doors are sacks of coal. The host tells you to choose a door, and that the prize behind that door will be yours to keep. You point to one of the three doors. The host says, "Before we open the door you pointed to, I am going to open one of the other doors." He points to one of the other doors, and it swings open, revealing a sack of coal behind it. "Now I will give you a choice," the host tells you. "You can either stick with the door you originally chose, or you can choose to switch to the other unopened door." Should you switch doors, stick with your original choice, or does it not matter?
You should switch doors. There are 3 possibilities for the first door you picked: You picked the first wrong door - so if you switch, you win You picked the other wrong door - again, if you switch, you win You picked the correct door - if you switch, you lose Each of these cases are equally likely. So if you switch, there is a 2/3 chance that you will win (because there is a 2/3 chance that you are in one of the first two cases listed above), and a 1/3 chance you'll lose. So switching is a good idea. Another way to look at this is to imagine that you're on a similar game show, except with 100 doors. 99 of those doors have coal behind them, 1 has the money. The host tells you to pick a door, and you point to one, knowing almost certainly that you did not pick the correct one (there's only a 1 in 100 chance). Then the host opens 98 other doors, leave only the door you picked and one other door closed. We know that the host was forced to leave the door with money behind it closed, so it is almost definitely the door we did not pick initially, and we would be wise to switch. Search: Monty Hall problem
74.29 %
70 votes
logicmathtricky

Hockey Stick and ball cost $50. If the Stick cost $49 more than the ball. What is the cost of each ?
Hockey Stick $49.50 & ball $0.50.
74.28 %
51 votes
funnylogicpoems

Four jolly men sat down to play, and played all night till break of day. They played for gold and not for fun, with separate scores for every one. Yet when they came to square accounts, they all had made quite fair amounts! Can you the paradox explain? If no one lost, how could all gain?
The players were musician.
74.21 %
79 votes
logicclean

A man named Stewart is traveling all over the world. First he travels to Cape Town in South Africa. Then to Jakarta in Indonesia. Then to Canberra in Australia. Then to Rome in Italy. Then to Panama City in Panama. Where does he travel next?
Santiago in Chile. He travels to each continent in alphabetical order then to the capital of the country that has the most southern latitude.
74.20 %
46 votes
logictricky

A boat has a ladder that has six rungs, each rung is one foot apart. The bottom rung is one foot from the water. The tide rises at 12 inches every 15 minutes. High tide peaks in one hour. When the tide is at it's highest, how many rungs are under water?
None, the boat rises with the tide.
74.08 %
74 votes
cleantrickycleverlogic

There are ten people in a house. Everybody wants to make a hand shake with only people shorter than themselves. Assume everybody is different in height. How many hand shakes are made?
0, because a taller person wants to shake hands with a shorter person. But the shorter person doesn't want to shake hands with him.
74.05 %
60 votes
cleansimplelogic

I heard of an invading, vanquishing army sweeping across the land, liquid-quick; conquering everything, quelling resistance. With it came darkness, dimming the light. Humans hid in their houses, while outside spears pierced, shattering stones walls. Uncountable soldiers smashed into the ground, but each elicited life as he died. When the army had vanished, advancing northward, the land was gree and growing, refresh.
Rainstorm.
74.05 %
60 votes