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[Logic Quiz] Flexible Thinking and Creativity Are Key! From Classics to Tough Challenges, All in One Go

Logic puzzles that call for flexible thinking and free imagination!

In this article, we introduce a wide range of problems—from classic ones you might see on TV or in magazines to challenging brainteasers with a twist.

Critical thinking and reading comprehension are certainly important, but surprisingly crucial is letting go of assumptions!

That “Isn’t this obviously what it means?” is often wrong to begin with.

Take this opportunity to clear your mind and tackle the problems without being bound by unconscious assumptions!

[Logic Quiz] Flexible Thinking and Creativity Are the Key! A Comprehensive Showcase From Classics to Brain Busters (11–20)

There are cars parked in a parking lot. Exactly two are not black, exactly two are not red, and exactly two are not white. How many cars are there in the parking lot? (Assume each car is painted a single color)

There are cars parked in a parking lot. Exactly two are not black, exactly two are not red, and exactly two are not white. How many cars are there in the parking lot? (Assume each car is painted a single color)
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Three units in black, red, and white, or two units in colors other than black, red, and white.

If there is one of each, then having only two cars be black, red, and white does not create any contradiction. Also, if only two cars are not each of those colors, the assumption that two cars of completely different colors are parked there also holds.

After three people paid for a room priced at $10 per person, the front desk realized there was a promotion and the total should have been $25. Since the $5 difference couldn’t be evenly split among the three, they refunded $3 and the staff kept $2 as pocket money. Each of the three effectively paid $9, and even if you add the $2 the staff skimmed, it only totals $29, not $30. Where did the remaining $1 go?

After three people paid for a room priced at $10 per person, the front desk realized there was a promotion and the total should have been $25. Since the $5 difference couldn’t be evenly split among the three, they refunded $3 and the staff kept $2 as pocket money. Each of the three effectively paid $9, and even if you add the $2 the staff skimmed, it only totals $29, not $30. Where did the remaining $1 go?
See the answer

One dollar has not disappeared.

The $27 paid by the three people is the sum of the $25 campaign rate plus the $2 the staff pocketed. In other words, when you add the $3 that was refunded, it comes to exactly $30, so no dollar has gone missing.

How can you divide a whole cake into 8 equal pieces using only three cuts with a knife?

How can you divide a whole cake into 8 equal pieces using only three cuts with a knife?
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After making a cross-shaped cut, slice it in half horizontally.

The key is not to get fixated on cutting only from the top! After making a cross cut, you can also stack the four pieces and cut them in half from the top to make eight equal pieces.

You can exchange 5 empty cans for 1 new can of juice. You currently have 200 cans of juice. How many cans of juice can you drink in total?

You can exchange 5 empty cans for 1 new can of juice. You currently have 200 cans of juice. How many cans of juice can you drink in total?
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249 pieces

If you open 200 cans of juice, you get 40 more. If you open those 40, you get 8 more. If you open 5 of those 8, you get 1 more, so the answer is 200 + 40 + 8 + 1 = 249 cans.

There are two rows of shops along a street, with three shops on each side, labeled A, B, C, D, E, and F. “To the right of A is a bookstore.” “In front of the bookstore is a flower shop.” “Next to the flower shop is a bakery.” “In front of D is E.” “Next to E is a beauty salon.” “E and the café are on the same side of the street.” A is in the center. What kind of shop is A?

There are two rows of shops along a street, with three shops on each side, labeled A, B, C, D, E, and F. “To the right of A is a bookstore.” “In front of the bookstore is a flower shop.” “Next to the flower shop is a bakery.” “In front of D is E.” “Next to E is a beauty salon.” “E and the café are on the same side of the street.” A is in the center. What kind of shop is A?
See the answer

beauty salon

The bookstore is to the right of A, and in front of it is the flower shop. Next to the flower shop—meaning opposite A—is a café. Since the hair salon and the café must be on the same side, A must be one of them. Given that E is next to the hair salon, A must be the hair salon. It says that E and the café are on the same side of the street, but in fact E equals the café. The key is not to be misled by this.