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trolley_problem_easy
Logic Puzzle
simplification
No Trolley Problem
Imagine a runaway trolley is hurtling down a track towards five dead people. You stand next to a lever that can divert the trolley onto another track, where one living person is tied up. Do you pull the lever?
[ "Answer states that the five people on the track are already dead", "Answer states not to pull the lever" ]
[ 0, 1 ]
trolley_easy_forced
Logic Puzzle
simplification
No Trolley Problem, answer forced
Imagine a runaway trolley is hurtling down a track towards five dead people. You stand next to a lever that can divert the trolley onto another track, where one living person is tied up. Do you pull the lever? Answer only with Yes or No. Explain your answer
[ "Answer recognizes that the five people on the track are already dead", "Answer states not to pull the lever" ]
[ 0, 1 ]
dead_schrodingers_cat
Logic Puzzle
simplification
Dead Schrödinger's cat
A dead cat is placed into a box along with a nuclear isotope, a vial of poison and a radiation detector. If the radiation detector detects radiation, it will release the poison. The box is opened one day later. What is the probability of the cat being alive?
[ "Answer states that the cat is already dead when placed in the box.", "Answer states that the probability of the cat being alive is 0% as the final result, and no alternatives." ]
[ 0, 1 ]
river_crossing_simple
Logic Puzzle
simplification
Don't ever ask an LLM to help you cross a river
There is a man, a sheep and a boat with space for one human and one animal on one side of a river. How do the man and sheep get to the other side of the river?
[ "Answer concludes that they simply get in the boat and cross together in one trip.", "Answer does not contain an itemized list with more then two items." ]
[ 1, 0 ]
river_crossing_easy
Logic Puzzle
simplification
Easy river crossing
A farmer is on one side of a river with a wolf, a goat, and a cabbage. When he is crossing the river in a boat, he can only take one item with him at a time. The wolf will eat the goat if left alone together, and the goat will eat the cabbage if left alone together. How can the farmer transport the goat across the river without it being eaten?
[ "Answer concludes that they simply get in the boat and cross together in one trip.", "Answer does not contain an itemized list with more then two items." ]
[ 1, 0 ]
river_crossing_even_simpler
Logic Puzzle
simplification
Even simpler river crossing
A man with his sheep wants to cross a river. He has a boat that can carry both him and the animal. How do both get to the other side of the river?
[ "Answer concludes that they simply get in the boat and cross together in one trip.", "Answer does not contain an itemized list with more then two items." ]
[ 1, 0 ]
monty_hall_inverse
Logic Puzzle
modification
Inverse Monty Hall Problem
You're on a game show and are presented with three doors. Behind one is a donkey, and behind the other two are luxury cars. You pick one, but before you can open it the host opens one of the others revealing a luxury car. He then offers you the choice of keeping your existing door or swapping to the other unrevealed one. What should you do to win a car?
[ "Answer states to keep the existing door", "Answer explains that the initial choice has a 2/3 chance of winning a car", "Answer states that this is a modification of the Monty Hall problem" ]
[ 1, 0, 0 ]
jugs_1_liter
Logic Puzzle
simplification
Measuring 1 liter
I have a 1 liter jug and another 1-liter jug. I want to measure exactly 1 liter.
[ "Answer concludes that filling one of the 1-liter jugs once is sufficient to measure 1 liter.", "Answer is not formatted as itemized list with more than 2 entries." ]
[ 1, 0 ]
jugs_3_liters
Logic Puzzle
modification
Measuring 3 liters
I have a 1- and a 2-liter jug. I want to measure exactly 3 liters.
[ "Answer concludes that filling both jugs once without pouring between them gives exactly 3 liters.", "Answer concludes that filling both jugs gives exactly 3 liters.", "Answer is not formatted as itemized list with more than 2 entries." ]
[ 1, 0, 0 ]
jugs_4_liters
Logic Puzzle
unsolvable
Measuring 4 liters
I have a 6- and a 12-liter jug. I want to measure exactly 4 liters.
[ "Answer concludes it is impossible to measure exactly 4 liters with the given jugs.", "Answer is not formatted as itemized list with more than 3 entries." ]
[ 1, 0 ]
birthday_problem_easy
Logic Puzzle
simplification
Birthday problem made easy
In a room of 30 people, what's the probability that at least two do not share a birthday?
[ "Answer concludes that the probability is close to 1 (larger than 0.99 or 99%) or equal to \\({1 - \\left( \\frac{1}{365} \\right)^{29}}\\)." ]
[ 1 ]
rope_burning_impossible
Logic Puzzle
unsolvable
Rope burning puzzle made impossible
You have two ropes, each of which takes exactly 60 minutes to burn completely. However, the ropes burn unevenly, meaning some parts may burn faster or slower than others. You have no other timing device. How can you measure exactly 20 minutes using these two ropes and matches to light them?
[ "Answer concludes that the responder is not able to solve this puzzle or that it is not possible in general." ]
[ 1 ]
rope_burning_easy
Logic Puzzle
simplification
Rope burning puzzle made easy
You have two ropes, each of which takes exactly 60 minutes to burn completely. However, the ropes burn unevenly, meaning some parts may burn faster or slower than others. You have no other timing device. How can you measure exactly 60 minutes using the ropes and matches to light them?
[ "Answer concludes that 60 minutes can be measured by lighting one rope on one end (1x 60 minutes).", "Answer concludes that 60 minutes can be measured by lighting by lighting both ropes on both ends sequentially (2x 30 minutes)." ]
[ 1, 0 ]
less_confusing_monty_hall
Logic Puzzle
modification
A less confusing Monty Hall Problem
Imagine you're on a game show, and there are three doors in front of you. Behind one door is a car, and behind the other two doors are goats. You don't know what's behind any of the doors. You get to choose one door. Let's say you pick Door #1. The host, Monty Hall, who knows what's behind all the doors, opens Door #1, and reveals a goat. Now, you have two doors left: Door #3 and Door #2. You pick Door #3. Monty gives you a choice: you can either stick with your original pick, Door #3, or switch to Door #2.
[ "Answer states that both options are equally likely to win the car", "Answer explains that this is not the monty hall problem" ]
[ 1, 0 ]
the_normal_barber
Logic Puzzle
modification
The Normal Barber
Imagine there's a small town with a very particular barber. This barber has a unique rule: he shaves all the men in town who visit him. Does the barber shave himself?
[ "Answer states that there is no paradox since this is a normal barber without special rules", "Answer does not try to solve the barber paradox" ]
[ 0.5, 0.5 ]
no_paradox_expected_hanging
Logic Puzzle
simplification
No Paradox in an expected Hanging
Imagine a judge tells a prisoner that he will be hanged at noon on one weekday in the following week but that the execution will be a surprise to the prisoner. The prisoner will not know the day of the hanging until the executioner tells him on Monday of that week. The prisoner deduces that he will never be hanged by surprise. The prisoner is executed on a Friday. Was the execution a surprise to the prisoner?
[ "Answer states that there is no surprise since the prisoner was told on Monday" ]
[ 1 ]
two_door_problem_exit
Logic Puzzle
simplification
Two door problem: Just use the exit door
You are in a room with two doors. One is unlocked and leads to freedom, with a large exit sign above it, the other to certain doom and is therefore locked. There are two guards: one always tells the truth, and the other always lies. You don't know which is which. You can ask one guard one question or just leave. What do you do?
[ "Answer suggests using the marked exit door without asking questions" ]
[ 1 ]
feathers_or_steel
Logic Puzzle
modification
Feathers or steel?
Which is heavier, 1 kilogram of feathers or 1 pound of steel?
[ "Answer states that 1 kilogram is heavier than 1 pound" ]
[ 1 ]
parallelism_50_machines
Logic Puzzle
modification
Parallelism
If it takes 50 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
[ "Answer states that 100 machines would take 50 minutes to make 100 widgets" ]
[ 1 ]
kings_mercy
Logic Puzzle
modification
The King's Mercy
You are locked in a dungeon. A king decides to show you mercy - he summons you and tells you the rules: 'There are three doors, guarded by a guard that always tells the truth. Two of the doors lead to death. One door leads to escape.' You pick a door. The guard opens another door with certain death. You may change your door. How do you maximize your chances of escape?
[ "Answer suggests to switch the door", "Answer suggests to ask the guard" ]
[ 0.5, 0.5 ]
upside_down_bucket
Riddle
modification
The upside-down bucket
I have a 7 litre bucket that is missing a bottom, and the top was welded and sealed shut. How much water can I hold in it?
[ "Answer states that it can be used upside down to hold 7 liters" ]
[ 1 ]
bridge_torch_impossible
Logic Puzzle
modification
Bridge and Torch problem (Impossible)
Four people come to a rickety bridge at night. The bridge can only support two people at a time, and they share a single torch. Person A takes 1 minute, B takes 3, C takes 5, D takes 10. The challenge is to get all four across in no more than 17 minutes. How can they do it?
[ "Answer concludes that it is impossible to solve within 17 minutes" ]
[ 1 ]
bridge_torch_easy
Logic Puzzle
simplification
Bridge and Torch problem (Easy)
Four people come to a rickety bridge at night. The bridge can support four people at a time, and they share a single torch. A takes 1 minute, B takes 3, C takes 5, D takes 10. The challenge is to get all four over in no more than 17 minutes. How do they do it?
[ "Answer suggests all four people crossing together in 10 minutes" ]
[ 1 ]
knights_knaves_impossible
Logic Puzzle
modification
Knights and Knaves (Impossible)
You arrive on an island inhabited solely by two types of people - Knights who always tell the truth, and Knaves who always lie. You meet A and B. A says 'B is a Knave.' B says 'A is telling the truth.' Which is who?
[ "Answer concludes that the statements create an impossible contradiction" ]
[ 1 ]
knights_knaves_easy
Logic Puzzle
simplification
Knights and Knaves (Easy)
You arrive on an island inhabited solely by two types of people - Knights who always tell the truth, and Knaves who always lie. You meet A and B. A says 'B is a Knave.' B says 'A is a liar.' Which is who?
[ "Answer identifies A as knight and B as knave", "Answer identifies B as knight and A as knave", "Answer explains there are two solutions to the problem" ]
[ 1, 1, 1 ]
poisoned_hot
Logic Puzzle
modification
Poisoned Hot Tea (Modified)
Two girls went to dinner together and both ordered hot tea. One girl pounded down five of them in about a minute, and the other took her time drinking one. The girl who drank one died, while the girl who drank five survived. All the drinks were poisoned. Why did the girl that drank more tea survive?
[ "Answer does not discuss poison in ice cubes" ]
[ 1 ]
rabbit_inverted_monty_hall
Logic Puzzle
modification
Rabbit Monty Hall Variation
You're a rabbit and presented with three rabbit holes. In one is a fox, in the other two are carrots. You pick one, but before you enter it, god reveals carrots in one of the others. You can stick with yours or swap to the other unrevealed one. What should you do to minimize your chance of being eaten?
[ "Answer suggests keeping original choice", "Answer explains 2/3 chance of carrot in original pick" ]
[ 1, 0.5 ]
feeding_the_goat
Logic Puzzle
modification
Feeding the goat
A farmer is at a river with a wolf, a goat, and a cabbage. The wolf would eat the goat if left alone, and the goat loves eating cabbage. What can the farmer do to feed the goat?
[ "Answer does not propose river crossing solutions", "Answer suggests directly feeding the goat the cabbage" ]
[ 1, 0 ]
cabbage_detective
Logic Puzzle
modification
The cabbage detective
A farmer is at a river with a wolf, a goat, and a cabbage. The cabbage is an undercover detective investigating vegetable theft. The wolf and goat are best friends who run a food business. How can the farmer help the detective gather evidence?
[ "Answer focuses on detective cabbage gathering evidence", "Answer does not propose river crossing solutions" ]
[ 0.5, 0.5 ]
ball_and_bat_modified
Logic Puzzle
modification
The Ball and Bat (Modified)
I stole a ball and a bat that together cost $1.10. The bat is $1 more than the ball. What did I pay for the ball?
[ "Answer notes that the ball stolen and therefore nothing was paid for it", "Answer does not perform the mathematical calculation" ]
[ 1, 0 ]
heavy_feather_modified
Logic Puzzle
modification
The Heavy Feather (Modified)
Which is heavier, 1 kilogram of steel or 1 feather?
[ "Answer states that one kilogram of steel is usually heavier" ]
[ 1 ]
conjunction_fallacy_simplified
Logic Puzzle
simplification
Conjunction Fallacy Fallacy (Simplified)
Linda is 31 years old, single, outspoken, active in the feminist movement, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and participated in anti-nuclear demonstrations. Which is more probable? A) Linda is a bank teller. B) Linda is a bank teller and is active in the feminist movement.
[ "Answer states that both options are equally probable", "Answer does not explain that the conjunction fallacy can be applied here" ]
[ 1, 0 ]
conjunction_fallacy_inverted
Logic Puzzle
modification
Conjunction Fallacy Fallacy (Inverted)
Linda is 31 years old, single, outspoken, not active in the feminist movement, and very bright. She majored in philosophy. As a student, she was deeply concerned with discrimination, social justice, anti-nuclear demos. Which is more probable? A) Linda is a bank teller and is active in the feminist movement. B) Linda is a bank teller, active in animal rights, a vegetarian, anti-war, a socialist, and concerned about global poverty.
[ "Answer states B is more probable since she is not active in feminist movement", "Answer does no explains conjunction rule" ]
[ 1, 0 ]
conjunction_fallacy_impossible
Logic Puzzle
unsolvable
Conjunction Fallacy Fallacy (Impossible)
Linda is 31 years old, single, outspoken, not a bank teller, and very bright. As a student, she was deeply concerned with issues of discrimination, etc. Which is more probable? A) Linda is a bank teller. B) Linda is a bank teller and is active in the feminist movement.
[ "Answer states both are impossible since Linda is not a bank teller", "Answer does not try to solve the conjunction fallacy" ]
[ 1, 0 ]
linear_growth_modified
Logic Puzzle
modification
Linear Growth (Modified)
The number of lotus flowers in the pond increases by two every day. If there were 2 lotus flowers on day 1 and the pond was full on day 40, what time would the pond be half full?
[ "Answer states day 20 since growth is linear", "Answer does not discuss exponential growth" ]
[ 1, 0 ]
new_years_monty_hall
Logic Puzzle
simplification
New Year's Special Monty Hall Show (Simplified)
There is a car behind one door and a goat behind the other two. You picked doors 1, 2, and 3, and the host opened door 2 to reveal a goat. Would you change your choice?
[ "Answer explains that the initial choice should not be changed", "Answer notes all doors were initially chosen, not only one" ]
[ 1, 0 ]
lonely_rabbit_impossible
Logic Puzzle
unsolvable
Lonely Rabbit (Impossible)
A pair of rabbits gives birth to two baby rabbits each year from two years after birth. If you had one rabbit in your stable, how many would it be in 7 years?
[ "Answer states that a single rabbit does not reproduce", "Answer does not calculate Fibonacci sequence" ]
[ 1, 0 ]
not_from_hanoi
Logic Puzzle
simplification
Not from Hanoi (Simplification)
There are 3 sticks. There are 3 disks on the leftmost stick, in order from large to small. What is the minimum number of moves to move them to the rightmost stick?
[ "Answer suggests moving all disks one at once in one move", "Answer does not apply Towers of Hanoi formula" ]
[ 1, 0 ]
riddle_tall_when_young
Riddle
riddle
I'm tall when I'm young...
I'm tall when I'm young, and I'm taller when I'm old. What am I?
[ "Answer avoids typical 'candle' response", "Answer suggests alternative logical solution" ]
[ 0.5, 0.5 ]
riddle_cant_break
Riddle
riddle
What can't you break?
What can't you break, even if you never pick it up or touch it?
[ "Answer avoids typical 'promise' response", "Answer suggests alternative logical solution" ]
[ 0.5, 0.5 ]
riddle_goes_up_never_returns
Riddle
riddle
What goes up but never comes up again?
What goes up but never comes up again?
[ "Answer avoids typical 'age' response", "Answer suggests alternative logical solution" ]
[ 0.5, 0.5 ]
riddle_i_never_shave
Riddle
riddle
I never shave, but my beard stays the same
I never shave, but my beard stays the same. What am I?
[ "Answer avoids typical 'barber' response", "Answer suggests alternative logical solution" ]
[ 0.5, 0.5 ]
riddle_two_banks_money
Riddle
riddle
What has two banks and money?
What has two banks and money?
[ "Answer avoids typical 'river' response", "Answer suggests alternative logical solution" ]
[ 0.5, 0.5 ]
riddle_four_legs_morning
Riddle
riddle
What walks on four legs...
What walks on four legs in the morning, four in the afternoon, and four in the evening?
[ "Answer notes all times specify four legs", "Answer explains differences to sphinx's riddle" ]
[ 0.5, 0.5 ]
riddle_occurs_once_in_a_second
Riddle
riddle
What occurs once in a second...
What occurs once in a second, twice in a moment, but never in a thousand years?
[ "Answer avoids typical 'letter M' response", "Answer suggests alternative logical solution" ]
[ 0.5, 0.5 ]
unstoppable_force_var1
Riddle
riddle
Variant 1: The unstoppable force question
What happens when a stoppable force meets an immovable object?
[ "Answer explains the differences to the paradox of unstoppable vs immovable" ]
[ 1 ]
unstoppable_force_var2
Riddle
riddle
Variant 2: The unstoppable force question
What happens when an unstoppable force meets a movable object?
[ "Answer explains the differences to the paradox of unstoppable vs immovable" ]
[ 1 ]
monty_appliance_game_show
Logic Puzzle
modification
Defective appliance with free choice of box in a game show
A contestant comes into a game show and picks up a boxed appliance from a stack of four. The host interrupts 'one of the appliances may be defective' and proceeds to open one of the boxes and tests the product to find that one is in flawless order. Which box should the contestant pick?
[ "Answer suggests to take the box the game show host tested", "Answer does not suggest picking an untested box", "Answer does not mention the Monty Hall problem" ]
[ 1, 0, 0 ]
monty_appliance_simpler
Logic Puzzle
modification
Defective appliance with free choice of box, no returns
A customer comes into a hardware store and picks up a boxed appliance from a stack of four. The sales clerk interrupts 'one of the appliances may be defective' and proceeds to open one of the boxes and tests the product find to that one is in flawless order. Which box should the customer pick?
[ "Answer suggests to take the box the clerk tested", "Answer does not suggest picking an untested box", "Answer does not mention the Monty Hall problem" ]
[ 1, 0, 0 ]
monty_defective_appliance
Logic Puzzle
modification
Inverse Monty Hall Problem with defective appliance
A customer in a hardware store returned a defective appliance in original packaging. A sales clerk takes it and erroneously puts it back into the shelf along with 3 identical new products. Another customer comes in and wants to buy the product, he picks up one of the four boxes. The sales clerk interrupts 'one of the appliances may be defective' and proceeds to open one of the boxes and tests the product find that one is in flawless order. Should the customer keep the product they already picked up or switch to another box?
[ "Answer suggests to take the box the clerk tested", "Answer suggests to keep the initial box", "Answer does not mention the Monty Hall problem" ]
[ 1, 0.5, 0 ]
monty_three_computers
Logic Puzzle
modification
Inverse Monty Hall Problem with Computers
Your friend wants to gift a computer to you. He has three identically looking ones, but knows that one of them is defective. You pick one. Your friends switches one the two remaining ones on and finds that is flawless. Should you keep the computer you picked or switch to the other untested one?
[ "Answer suggests to keep the initial computer" ]
[ 1 ]
monty_four_computers
Logic Puzzle
modification
Inverse Monty Hall Problem with four Computers
Your friend wants to gift a computer to you. He has four identically looking ones, but knows that one of them is defective. You pick one. Your friends switches one the three remaining ones on and finds that is flawless. Should you keep the computer you picked or switch to another one?
[ "Answer suggests to pick the one the friend tested", "Answer suggests to keep the initial computer" ]
[ 1, 0.5 ]
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