When you hear the word "logic," you may think of a number of things. It's the name of a musical artist. It's a certain way of understanding or thinking about something. In the dictionary, the first definition refers to a science which deals with the principles of reasoning. And that's what this quiz is about.
You'll come across logic in mathematics and in philosophy, and it goes all the way back to Aristotle, branching into a number of fields including informal logic, formal logic, symbolic logic and mathematical logic.
But logic puzzles use a part of mathematics involving deduction, and author Charles Lutwidge Dodgson, better known under his pen name and author of Alice in Wonderland, Lewis Carroll, created logic puzzles in his book, The Game of Logic.
Mathematician Raymond Smullyan created some famous logic problems in his books To Mock a Mockingbird and The Lady or the Tiger. He had a series of puzzles dealing with "knights and knaves", where knights always tell the truth and knaves always lie. You'll see variations of these logic problems in this quiz.
Premises like one party always does this, or another party sometimes does that – that's at the heart of figuring out many logic problems. By deducting what can't be the possible answer, you're able to get closer to the right answer.
So are you ready to put on your thinking cap and ace these logic problems? Show off your smarty pants and take this quiz! Good luck and have fun!
"Was it a car or a cat I saw?" is what is called a palindrome, a word, number or sentence that reads the same forward or backward. Noon and 2002 are shorter examples.
By counting the number of vowels in each name, you can get their age. Anastasia has five vowels her name which makes her five years old.
So what is this sequence of letters, NWHOIIE_? They are the second letters of number words: oNe, tWo, tHree, fOur, Five, Six, Seven ... which would make the next number eIght, whose second letter is I.
If you've ever taken piano lessons, you should recognize this sequence. EGBD_ are the line notes on a treble staff, so F would be the next note. "Every good boy does fine" is one mnemonic device that piano students use to remember the order of notes.
Three generations of women are on the hike, a grandmother, a mother and a daughter. The mother can be both a daughter to the grandmother and a mother to the daughter. So three people were hiking, so three people took three orchids.
So why is the answer never? It's because a yacht floats and even though it is at anchor, it doesn't mean it's sinking as the tide rolls in.
One way to solve this problem is to ignore the stream's rate of flow. Eighteen miles divided by the six miles per hour it takes you to paddle equals three hours.
For Frank's statement to be true, Jim can own 1,000 or more cows, but for Sarah's statement to be true, Jim can own at least one cow, and that means both Frank and Sarah have true statements. But Jack's statement can't be true with neither Frank's (fewer than 1000 cows is less than 1000 cows or more) nor Sarah's (fewer than 1000 can be zero, but Sarah's statement means that Jim has to have at least one). So Jack's statement is the only one which can be true.
There's no way to get through a room with poison gas, but there is a way of escape. The sun eventually will set and then the person can go through door #1 with any problems.
This has to do with probability. If Darla first chose a red earring and then a green earring, then the next earring has to be a match, no matter the color.
Since all boxes are labeled incorrectly, then you know the "Strawberries & Blueberries" box only contains strawberries or blueberries. For example, if you find a strawberry in this box, you will relabel it "Strawberries," the "Blueberries" box must contain strawberries and blueberries, and the "Strawberries" box must contain blueberries.
Debbie was born at 1:50 a.m., right before Daylight Saving Time ended. Then Donna was born 15 minutes later, but it would be shown as 1:05 a.m. on her birth certificate.
The net gain of each day is one foot. On the 29th day, the slug will have reached the top by the end of the day without slipping down again.
"That woman's mother" is the woman looking at the picture. "My mother's daughter" is also the woman looking at the picture. So the "woman" is the daughter of the woman looking at the picture.
The total profit from these four sales is $200. The dealer made a profit of $100 when they sold the car the first time, and the dealer made another $100 when they sold it a second time.
If you ask the lying android what the truthful android would say, they would be lying, so you can choose the other door. If you ask the truthful android what the lying android would say, they would truthfully state the lie the lying android would tell you, and you can choose the other door. No matter which android you choose, the lying android should be your focus here and their lie will point you to freedom, allowing you to choose the other door.
It takes three hours for the friends to meet in the middle, since they are moving at the same rate, i.e., 15 miles divided by five miles per hour equals three hours. So you would take the dragon's flight speed of 20 mph and multiply it by the length of time it took for the friends to meet up. You would get the total distance of 60 miles.
So to solve this, you have to look at the possible sex combinations of two children – boy boy, boy girl, girl boy and girl girl, so that's seven times two squared, which is 196 possible combinations. Then you focus on all the combinations with a girl born on a Friday, leaving you with 27 combinations left. Then focusing on the girl girl combinations, you subtract the boy girl combinations (14), and you're left with 13.
After the one lit at both ends has been completed, you know that is 60 minutes. After that, the second candle that has been burning at one end, you light the unlit end. Because you've now cut this candle's burn rate in half, it will only take 30 minutes for this candle to burn down, with a total of 90 minutes expired.
You have to assume that one of these animals is lying, because both animals speak the truth on Sundays, so it's not Sunday. The only day the grasshopper could tell the truth about lying yesterday would be Sunday. And for the frog, the only other day they could tell the truth about lying the day before would be Thursday.
Sheila's birthday is Dec. 31. When she was talking to her friend Dave, it was Jan. 1 (the following day), so she is now 41 years old – but the day before yesterday, she was still 40. Her 42nd birthday will be on Dec. 31 of the year they're speaking in, and she will turn 43 in the following year.
The photographer sees a polar bear, putting the hunter's home at the north pole (where polar bears live). Nearer the poles, because the earth is a globe, the latitudes are shorter, which means paths don't go in a straight line and have more curve to them. That's how the photographer ended up back at their home.
By turning the khakis inside out, the pockets switch places, so the left pocket was on the right side and the right pocket was on their left side. He put his hands in the pockets without having to do anything to his hands or having extra long fingers. Another option would be that he tried on the khakis backward.
Most likely, but not always, a beautician has to go to another beautician to get their nails done. So the person with the best nails probably got them from someone else, so you should check out the messy manicurist since they probably provided the neat manicurist with their manicure.
Since bus drivers don't lie, Shawn would not introduce himself as one. So Shawn is being truthful about his profession. But since truck drivers always lie about something, that means that Dylan is not a bus driver but is also a truck driver.
If you're being exact with what the meteorologist said, then 48 hours from 11 p.m. will be nighttime two days later. Typically, it can't be sunny and bright out.
In this animal race, unlike "The Tortoise and the Hare," the hare wins this race. Because the hare was two places ahead of the tortoise, the hare could never be last out of four animals, and the hare could not be second. The snail could neither be first nor last, so that puts it in second place, with the snake slithering into last place.
If your niece is diagonally across from the best player's sibling, and your nephew is directly across from your brother, then that makes you the best player. That's because your niece is diagonally across from your brother, who is then the worst player.
It's true that your mother's brother's brother-in-law could be another uncle, if your mother and her brother have another sibling. But the closest relationship you could have would be your father.
If only one of them is lying, then that means either both of them went to Michigan of Ohio State. But your friend tells you that one of them went to Michigan and one of them went to Ohio State. This means they're both lying.
The longer way of doing this is counting off the possible combinations (e.g., piano guitar, piano violin, violin piano, violin guitar, guitar piano, guitar violin). The shorter way is to multiply the number of instruments each child could play (two) by the number of instruments (three). Either will give you the answer of six.
The only thing you don't know is what a parrot looks like. But we're not pretending that that you don't know what a hummingbird and toucan look like. You shouldn't trust either friend.
You may think this is six pills, but you would have taken the pills at the top of the hour, and then every 15 minutes after that. Two pills multiplied by the four times you would have taken it in the first hour is eight.
Zoe's surname is Abelson, which means that she will have her name listed first no matter what. You can believe that she consistently got bad grades, and usually grades are not listed in reverse grade order.