Can You Solve These Logic Problems?

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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!

1 of 34

What is strange about this sentence? "Was it a car or a cat I saw?"

2 of 34

Tina is two years old, Shirley is also two years old, and Andrea is three years old. How old is Anastasia?

3 of 34

What is the next letter in the sequence: NWHOIIE_?

4 of 34

So what about this sequence, what is the next letter? EGBD_?

5 of 34

Two mothers and two daughters went hiking in a forest and found three orchids. They were able to divide the orchids evenly between themselves, each receiving an orchid. How?

6 of 34

A yacht is at anchor, and over the side of it is an eight-foot-high ladder with rungs one foot apart. The tide rolls in at 18 inches per hour. In how many hours will the yacht be overcome by the tide?

7 of 34

In any calm body of water, you can paddle your kayak at six miles an hour. You're in a stream that flows at two miles an hour. As soon as you paddle upstream, someone loses their hat 18 miles ahead. How long will it take for you to get to the hat?

8 of 34

"That Jim is a rich guy!" says Frank. "In fact, he owns 1,000 cows or more." Jack interjects, "Now hold on. I know that he owns fewer than 1,000 cows." Sarah pipes up and says "That's not what I heard. Jim owns at least one cow." Only one of these statements can be correct, so how many cows does Jim own?

9 of 34

A person is trapped in an empty room with only two possible exits. Through door #1 is a room made with magnifying glass. Anything or anyone who enters that room is immediately burned up by the sun's magnified rays. Through door #2 is a room that immediately fills up with poisoned gas, killing anyone upon entry. How does this person escape?

10 of 34

Darla has 12 green earrings and 12 red earrings in her jewelry box. In total darkness and without looking, how many earrings must Darla take to be sure that she can get a matching pair?

11 of 34

There are three boxes of berries, but they have all been mislabeled. The first box is labeled "Strawberries," the second box is labeled "Blueberries" and the third box is labeled "Strawberries & Blueberries." You can only pick one berry from one box to help you label these boxes correctly. Which box will you choose?

12 of 34

Donna and Debbie were identical twins born in Oklahoma City in 1992. Debbie was born before Donna, but on their birth certificates, it shows Donna is older than Debbie. What's the explanation?

13 of 34

A slug is at the bottom of a 33-foot well. During the day, it slithers up three feet, but at night as it sleeps, it slides down two feet. How many days will it take for the slug to finally reach the top of the well and slither to freedom?

14 of 34

A woman looks at a photo of someone, and her friend asks her who that person is. The woman responds, "I don't have any siblings. But that woman's mother is my mother's daughter." So who is she looking at?

15 of 34

A dealer buys a car for $500, sells it for $600, buys it back for $700 and sells it for $800. How much was his profit?

16 of 34

You're trapped in a room with two doors. One door will lead to your freedom while the other will lead to a lifetime of imprisonment. Two androids are by these doors and will let you choose one door, but you must go through it after you ask your decision. You can only ask one android one question, but one android always lies and the other always tells the truth. You don't know who is honest and who is the liar. So what question would you ask?

17 of 34

Two friends plan to get together and start riding their scooters toward each other, riding at a speed of five miles per hour and living 30 miles apart. One of them has a pet dragon that flies at a rate of 15 mph, back and forth until they meet. How many total miles does the dragon fly?

18 of 34

You randomly ask people if they have two children and if one was a girl born on a Friday. After some searching, you find someone who can answer yes to both questions. What is the probability that this person has two girls? You can assume there's a 50/50 chance of giving birth to either sex and that there's an equal probability for giving birth on any day of the week.

19 of 34

You have two candles of varying lengths and thickness, but each burns in exactly two hours. But you don't know what the burn rate is. How can you start to measure 90 minutes without a watch or clock and only matches and candles?

20 of 34

Katherine walks through a meadow and finds a frog and a grasshopper. The frog lies on Mondays, Tuesdays and Wednesdays, but tells the truth during the other days of the week. The grasshopper lies on Thursdays, Fridays and Saturdays, but tells the truth during on the other four days. The frog tells Katherine, "Yesterday, I was lying." The grasshopper adds, "So was I." On what day were these things said?

21 of 34

Dave asks his friend Sheila when her birthday is. Shelia replies, "I was 40 the day before yesterday, and next year, I will be 43." When is Sheila's birthday?

22 of 34

A nature photographer walks out their front door, walks a mile south, walks a mile east, sees a bear and tries to take its picture. The bear gets up on its hind legs and roars. The photographer runs a mile north and ends up in front of their home. What color is the bear?

23 of 34

A boutique ran a promotion giving away a free pair of khakis. All you had to do was you had to try on a pair and put your right hand in the left pocket and your left hand in the right pocket, with both hands reaching the bottom of both pockets at the same time. People in the store found this impossible until someone walked in and was able to do it. Which of the following answers best describes how they got their free pair of khakis?

24 of 34

You've moved in a new town and you need to get a manicure. There are only two manicurists in town. The first manicurist has a messy shop and ugly nails. The other manicurist has a clean store and has beautiful nails. So which one would you choose and why?

25 of 34

You go with your partner, who is a bus driver, to a party for bus drivers and truck drivers. From living with your partner, you've learned that bus drivers always tell the truth about everything, but truck drivers are always lying about something. Two people, Shawn and Dylan, come to your table. Shawn says, "I'm a truck driver, but Dylan is a bus driver." So based on what you know, what the actual professions of both people?

26 of 34

You're watching the 11 p.m. news and the meteorologist gives a forecast, saying that it's currently raining and will continue to rain for the next day. But in 48 hours, it'll be sunny and bright out. You know this is wrong, but why?

27 of 34

The tortoise returned from a race where they competed with a hare, a snail and a snake. The tortoise tells you that the hare finished two places ahead of them, the snail was neither first nor last, and the hare was not second. Can you figure out which animals finished in which place?

28 of 34

You, your brother, his son and his daughter are playing badminton. Your brother is directly across the net from his son. His daughter is diagonally across from the sibling of the best player. The worst player and the best player are on the same side of the net. So who is the worst player?

29 of 34

What is the closest familial relationship you can have with your mother's brother's brother-in-law?

30 of 34

You're at a football watching party and Michigan and Ohio State are playing. Your friend introduces you to one Michigan alum and one Ohio State alum. A man shakes your hand saying, "Hi, I went to Michigan." A woman waves and smiles saying, "Hi, I attended Ohio State." Your friend whispers in your ear that at least one of them is lying. Neither of them are wearing any school paraphernalia, so which one is the liar?

31 of 34

The Davidsons are a musical family with several kids. Five kids play piano, four kids play guitar and three kids play the violin. Each child plays only two instruments. What is the least number of kids in the Davidson family?

32 of 34

Let's pretend you've never seen a parrot before. You're in a tropical rainforest with two friends. One shows you a hummingbird and tells you it's a parrot. The other friend shows you a toucan and tells you it's a parrot. Which friend is telling you the truth?

33 of 34

You've been prescribed this obnoxious prescription where you have to take two pills every 15 minutes for three hours. Within the first hour, how many pills will you have taken?

34 of 34

Zoe Abelson consistently has the worst grades in her algebra class. Everyone recently took a test, but when the grades were posted, Zoe's grades were at the top of the list. What's the reason?

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