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Rearrange My Letters To Be Clean

Rearrange these letters into something you can clean with.

boas

soap (by flipping the b upside down, similar to how IHOP became IHOb)

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Rebellious Randall

You’re waiting to board your flight at the airport with 99 other passengers, each with an assigned seat. All but one of the passengers will gladly sit in their designated seat. The only exception is Randall, a scoundrel who refuses to follow the rules. When he boards, he will choose a random, unoccupied seat.

If a rule-following passenger finds someone in their spot, they will choose another one at a random from the remaining unoccupied seats.

What is the probability that the last person to board the plane will sit in their proper seat?

The randomness stops as soon as someone else sits in Randall’s assigned seat. The chances of this happening range from 1 out of 99 to 1 out of 1 (when only one seat remains).

Thus, the probability of the last person sitting in their own seat can be calculated as 1/99 plus the sum of 2 to 98 of the formula 1 / n × (n + 1), which works out to 0.5, or 50%.

So there’s a 50% chance the last passenger will sit in their own seat thanks to Randall for screwing up order and procedure when boarding an aircraft.

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Spell Eighty

How can you spell eighty with only two letters?

A-T (pronounced eighty).

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A Square and a Cube

What two-digit number is the square of one number and the cube of another?

64

82 = 64
43 = 64

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From Standard to Sequence

Starting with the word STANDARD, how can you take away two letters and add three digits to make a logical sequence?

Remove the two A’s, leaving: ST ND RD
Add 1, 2, 3 to produce: 1st, 2nd, 3rd.

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How Can Four Be Half of Five?

How can the number 4 be half of FIVE?

Beginning with FIVE, take away the F and E (half of the letters), leaving IV, which is the Roman numeral for four.

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Penny, Cork and A Bottle

Given a corked bottle with only a penny inside, how can you remove the penny without pulling out the cork, breaking the bottle and leaving the cork intact?

Push the cork into the bottle, then shake the penny out.

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Snakes and Mice

On a remote (imaginary) island, there are 11 snakes and a single mouse. As you’d expect, snakes eat the mice. But contrary to what you’d expect, when a snake eats a mouse, it turns into one.

The snakes live by only two rules:

1. Don’t get eaten.
2. Eat mice as long as rule #1 isn’t violated.

How many snakes and mice will there be left on the island?

10 snakes, 1 mouse.

If there were only a single snake and mouse, the snake could eat the mouse, then turn into one, leaving a single mouse.

If there were two snakes and a single mouse, rule 2 would keep either of the snakes from eating the mouse to avoid being eaten themselves.

With three snakes and one mouse, one of the snakes could eat a mouse and be safe as a mouse thanks to rule 2.

This pattern continues. With an even number of snakes, nothing happens. With an odd number of snakes, one snake can eat the mouse.

Thus, with 11 snakes, one snake would eat the mouse, turn into one and leave 10 snakes and 1 mouse.

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4 Is Cosmic

1 is 3,
3 is 5,
5 is 4,
4 is cosmic.

What is 6? And what is meant by cosmic?

6 is 3 of course. Because six has three letters.

One = three letters
Three = five letters
Five = four letters
Four = four letters

Cosmic is a number that has the same number of letters as the value. Four is the only number I’m aware of that has this property.

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The Roast with the Most

How do you spell roast?
How do you spell most?
How do you spell coast?
How do you spell post?

What do you put into a toaster?

Bread. (It turns into toast when it’s done toasting).

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