Basic
Usain Bolt, Tyson Gay and Yohan Blake participated in a 100 meter race. An official noticed that
Which of them was the fastest?
Usain Bolt
When conducting an inventory of the PE storage room, Coach Carlson found several basketballs, tennis balls, footballs and baseballs in a locker. He found 4, 6, 8 and 10 of them (a different number for each type). He recorded that:
How many footballs are there?
8
Mara is older than Kenny.
Mara is older than Susan.
Susan is older than Kenny.
If the first two statements are true, then the third statement is: true, false, or uncertain.
Uncertain
If the first two statements are true, then the third statement is ________ (true, false, or uncertain).
Uncertain
In a mystical land where the animals talk, it is known that the rats always lie and the mice always tell the truth. If you ask a rat "Are you a rat?", what would it say?
a) Yes, I am a rat.
b) No, I am not a rat.
b) No, I am not a rat.
Alice, Betty and Candice traveled to three different destinations: New York, Delhi, and England. Each person traveled to exactly one distinct place.
We know that Alice went to Delhi and Betty did not go to England.
Who went to England?
Candice
Three logicians enter a juice bar. Each either wants a drink or doesn't.
The barman asks, "Does everybody want a drink?"
The first logician says, "I don't know."
The second logician says, "I don't know."
What does the third logician say?
"I don't know," "Yes," "Yes or no," or "No"
Yes or no are both possible answers.
If roses are red,
and violets are blue,
then can we conclude that carnations are yellow?
Yes or no?
No.
In The Hound of the Baskervilles, Sherlock Holmes was investigating a robbery. He had narrowed down the list of suspects to 4 people:
Dr Mortimer, Jack Stapleton, John Barrymore and Laura Lyons.
He knew that only 1 of them was responsible, and questioned them further. He also knew that all 4 of them would lie. Here are their statements:
Dr Mortimer: Laura Lyons did it.
Jack Stapleton: John Barrymore did it.
John Barrymore: Jack Stapleton did not do it.
Laura Lyons: Dr Mortimer did it.
Who was responsible for the robbery?
Jack Stapleton
Suppose I make this claim:
"If it's raining, I have my umbrella."
If I am LYING, which of these must be the case?
a) It's not raining, and I don't have my umbrella.
b) It's raining, and I don't have my umbrella.
c) It's raining, and I have my umbrella.
b) It's raining, and I don't have my umbrella.
Logic Puzzles - Basic Warmup
Try again
In Middle-Earth, Elves always tell the truth and the Orcs always lie. Which of them could make the following statement?
"I always tell the truth."
Neither, both, elves only, or orcs only.
Both
Alinar, Halflar and Orist are three elves at a war council. One of them is a High Elf who always tells the truth, one of them is a Dark Elf who always lies and one of them is a Free Elf who either tells the truth or lies. How many of them can make the following statement?
0, 1, 2, or 3
3
In purgatory, angels always tell the truth and demons always lie. In his adventures, Dante came across a group of three celestial beings (angels and/or demons), and wanted to determine which of them were angels. Hoping to get an honest reply, he asked: "How many angels are there among you 3?"
He received the following three replies, one from each of the celestial beings: "One," "Two," "Three."
How many angels are there amongst the three celestial beings? (0, 1, 2, 3, not enough info)
Not enough information.
After two years of madness, Sir Lancelot is shown the Holy Grail through a veil, which cures his madness. He returns to Camelot and is greeted by three trainees. It was a custom at the gate that, as a test of wills, the returning quester had to figure out how many of them were knights who always told the truth, and how many of them were knaves who always lied. He asked the standard question: how many knights are amongst you?
He received 3 replies: "three, three, and three"
Can you tell how many knights are amongst the three trainees? (0, 1, 2, 3, not enough info)
Not enough info.
Honest men always tell the truth, and liars always lie. What can be said about these men?
Lewis: One of the two of us is a liar.
Clark: Actually we're both liars.
a) they are both liars
b) they are both honest
c) Lewis is the honest one.
d) Clark is the honest one.
c) Lewis is the honest one.
Jane, Jean, Jim and Joe are having an argument about which one of them is the oldest. Given the following information, can you help them figure out who is the oldest?
Jane, Jean, Joe, or Jim?
Jim
Chest A has been labelled with "100 gold coins,"
Chest B has been labelled with "50 gold and 50 silver coins," and
Chest C has been labelled with "100 silver coins."
You are told that all of the labels are incorrectly placed, as they describe the contents of another one of the chests. To help you determine which is the chest that contains 100 gold coins, you are allowed to pick a random coin (without looking) from a chest of your choice.
Which chest should you pick a coin from?
Chest B
Alinar, Halflar and Orist are three elves at a war council. One of them is a High Elf who always tells the truth, one of them is a Dark Elf who always lies and one of them is a Free Elf who either tells the truth or lies. How many of them can make the following statement? "I am a High Elf."
0, 1, 2, or 3?
3
Robinson Crusoe was shipwrecked on an island. He quickly learned that each villager that he meets is either a truth-teller who always only tells the truth, or is a liar who always only lies. One day, he meets 3 villagers and asks them: How many truth-tellers are among you 3?"
He received the following responses, "zero," "one," "two."
How many truth-tellers are among the villagers?
One
You are in a dungeon and it contains 3 doors. One door has endless amounts of treasure, and the other two are bottomless pits. The doors each have a sign. You know the door that leads to treasure has a sign that is false and the other signs are true. Which door should you take to get the treasure?
Door 1: The treasure is behind door 2.
Door 2: The treasure is behind door 3.
Door 3: The treasure is not behind here.
Door 2
Five gears are connected in a row. The first is connected to the second, the second is connected to the third, and so on. If the first gear is rotating in a clockwise direction, what direction is the fifth gear rotating?
Clockwise, counter clockwise, or not enough info?
Clockwise
If exactly one of these statements is false, which statement is false?
a) Statement D is true.
b) Statement A is false.
c) Statement B is false.
d) Statement C is true.
b) Statement A is false.
There are four chests before you; one of the chests contains treasure, and the others contain deadly poison. Each chest has a note; you know that two of the notes are lying and two are telling the truth.
Chest 1: Chest 2 has the treasure.
Chest 2: Chest 4 has the treasure.
Chest 3: This chest does not have the treasure.
Chest 4: This chest has the treasure.
Where is the treasure?
Chest 2
Assume that published books are classified as novels, short stories, or story books according to the following classification:
A novel has at least 300 pages.
A short story has at most 100 pages.
A story book has at most 500 pages.
What can we say about a book that has 400 pages?
It can either be a story book or a novel.
Leonardo, Steve and Jerry are three woodland creatures. One of them is a lion that always tells the truth, one of them is a snake that always lies, and one of them is a jackal that either tells the truth or a lie. How many of them (without a prior question) can make the following statement?
"I am a snake."
1