Five Three Two

What is the answer to the last equation?

5 3 2 = 151012
9 2 4 = 183662
8 6 3 = 482466
5 4 5 = 202504
7 2 5 = ?

10000 × (x × y) + 100 × (x × z) + transpose_digits(x × y + y × z)

transpose_digits() just swaps the digits

Posted in Brain Teasers

A Bridge to Switzerland

During WWII, there was a bridge connecting Germany and Switzerland, and on the German side, there was a sentry tower with a guard in it. He would come out every three minutes to check on the bridge, and he had orders to turn back anyone who tried to get into Germany, and shoot anyone trying to escape without a pass. There was a woman who desperately needed to get into Switzerland, and she knew she didn’t have time to get a pass. It would take her at least six minutes to cross the bridge, but she managed to do it. How?

She walked on the bridge towards Switzerland for 3 minutes and just as the guard was about to come out, she turned around walking back to Germany. The guard saw her and asked for her pass but she didn’t have one and was sent back (or what the guard thought was back) to Switzerland. In her case it was the very country she wanted to go to.

Posted in Brain Teasers

Hot My Entire Life

I have been hot my entire life. Put me in water or in a freezer for days and I will still be hot. My red color should tell you but don’t be deceived, even when I’m green, I’m still hot. What am I?

A red or green laser. Red and green pepper also works.

Technically, the laser beam itself isn’t hot, but lasers can heat up what they’re shining on.

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Whoever makes it, tells it not.

Whoever makes it, tells it not.
Whoever takes it, knows it not.
Whoever knows it, wants it not

Counterfeit money or poison.

Posted in Riddles

Each Morning I Appear

Each morning I appear
To lie at your feet,
All day I will follow
No matter how fast you run,
Yet I nearly perish
In the midday sun.

Shadow.

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MT Rebus

MT

Empty.

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How Old Is Amir?

Amir has three children. One is the same age as the first number in his age, another is the same age as the second number in his age, and the third is the same age as the sum of the two numbers in his age. None of the children are the same age and the total of everyone’s ages is 45. How old is Amir?

27. His children are 2, 7, and 9.

Posted in Brain Teasers

Next in the Sequence

Here is a series of numbers. What is the next number in the sequence?

1
11
21
1211
111221
312211

13112221

The next number in the series counts the previous numbers. Thus the first number is 1, which is one 1, or 11. To describe 11, you have two 1’s, or 21. Now you have one 2 and one 1, so the next number is 1211. The solution is to continue describing the previous number using only numbers.

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Nine Matchbox Sticks To Ten

I have nine matchbox sticks and would like to make ten. How do I do it?

Arrange the nine matchbox sticks like so to make the shape of the number ten:

        _
    /| | |
     | |_|
Posted in Brain Teasers

You’ll Have Me At Night

You’ll have me at night and if you remove the first letter I denote the top, such as on a train

Supper. You eat supper at night, and removing the first letter leaves upper. Thanks to Dude for figuring it out.

Posted in Riddles