One Two Six Sequence

What is the next number in this series?

1, 2, 6, 42, 1806, ___

To get the next number, multiply the previous number in the series by itself plus one:

n × (n + 1).

For example, to get 6, multiply 2 × (2 + 1)
To get 42 multiply 6 × (6 + 1)

Thus, 1806 × 1807 = 3263442

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A Seemingly Simple Math Problem

What is the answer to this problem?

1 + 1 + 1 + 1 + 1
1 + 1 + 1 + 1 + 1
1 + 1 × 0 + 1 = ?

30.

There are two tricks to this one. The first is 1 × 0. But it’s mostly there as a distraction. Yes, 1 × 0 is 0, but that doesn’t affect anything else in the equation. The second, far trickier element is that the lines ending with 1 don’t have a + sign next to them. That means they should be combined with the following line.

Let’s put the equation all on one line, shall we?

1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1 × 0 + 1 = ?

And the answer to that equation is 30.

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Falling Window Cleaner

A window cleaner is cleaning a window on the 25th floor of a skyscraper when he slips and falls. He has no safety equipment and nothing to soften his fall, yet he is not hurt. How can this be?

He was cleaning the inside of the window.

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Two Eights and Two Threes to Make Twenty Four

Using one or more addition, subtraction, multiplication or division operations, what formula using the numbers 3, 3, 8 and 8 equals 24?

8 ÷ (3 – (8 ÷ 3)) = 24

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yyyy UR

yyyy U R, yyyy U B, I C U R y y 4 ?

What word belongs in place of the question mark?

Me.
Wise you are, wise you be, I see you are too wise for me.

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A Special-Sized Box

I have a box. The top has an area of 240 square inches, the side 300 square inches and the end 180 square inches. What are the dimensions of the box?

Length = 20
Width = 12
Depth = 15

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13579U

What does this represent?

13579U

The odds are against you. All of the odd single-digit numbers are lined up next to the letter u, representing the word you.

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A Black Dog Night

A completely black dog was strolling down main street during a total blackout affecting the entire town. Not a single streetlight had been on for hours. As the dog crosses the center of the road a Buick Skylark with two broken headlights speeds towards it, but manages to swerve out of the way just in time. How could the driver see the dog to swerve in time?

It was during the day.

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Rotating Coins Around Coins

You have two coins of equal size on a table, situated end to end vertically. If you roll the top coin around the bottom coin until it returns to its original position, how many times will it have rotated?

Twice. See this video for more details.

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A Leathery Snake

A leathery snake,
With a stinging bite,
I’ll stay coiled up,
Unless I must fight.

A whip.

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