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How to Escape?

A man is trapped in a room with only two possible exits. Through the first door is a room with an enormous magnifying glass causing the blazing hot sun to instantly burn anything that enters. Through the second door there is a fire-breathing dragon. How does the man escape?

Leave through the first door at night when the sun is down.

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Twice As Many Women As Children

At a party of thirty-five people there are twice as many women as children and twice as many children as men. How many of each are there?

20 women, 10 children and 5 men.

To figure it out, let m be the number of men and you get this equation:

4m + 2m + m = 35
7m = 35
m = 35 ÷ 7
m = 5

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What Number Comes Next 6 1 3 1 4

What number comes next?

6 1 3 1 4 _

5. The numbers are the alphabetical positions of the letters in the word FACADE.

F – 6th
A – 1st
C – 3rd
A – still 1st
D – 4th
E – 5th

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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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Progressive Countdown

If you’re given a number, subtract 1, then 2 from the result, then 3 from that result and so on until you reach 0 or a negative number.

For example, if you’re given 15:

15 – 1 = 14
14 – 2 = 12
12 – 3 = 9
9 – 4 = 5
5 – 5 = 0

Which of these numbers will finish exactly at zero?

102 103 104 105 106

105

105 – 1 = 104
104 – 2 = 102
102 – 3 = 99
99 – 4 = 95
95 – 5 = 90
90 – 6 = 84
84 – 7 = 77
77 – 8 = 69
69 – 9 = 60
60 – 10 = 50
50 – 11 = 39
39 – 12 = 27
27 – 13 = 14
14 – 14 = 0

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Make This Addition Problem Correct

This math problem is currently wrong.

11 + 66 + 88 + 96 = 294

How can you make it actually equal 294?

Flip the numbers upside down:

11 + 99 + 88 + 96 = 294

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Choose Your Own Death

A prisoner was brought before the King to be executed. The King was in a peppy mood and asked the prisoner how he would like to die. The prisoner told him and the King laughed heartily. The prisoner was released and sent on his way, alive.

What did the prisoner say?

He asked to die of old age.

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The Old Man’s Book

Milton shuffled slowly along the shelves browsing books. He finally walked up to the counter and handed the girl a book. She looked at the inside cover and told him it would be $3.75. Milton handed her the money and walked away without the book. The girl watched him leave empty-handed but didn’t try to stop him. Why?

Milton was a forgetful and naughty fellow. He was summoning his courage to approach the counter to return his overdue book. The kindly lass at the counter saw the book was 15 days overdue and had accrued the egregious late fee of $3.75 (25 cents a day). Lesson learned, Milton never returned a book late again.

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Abraham Encoding

The name ABRAHAM can be changed into a word for a primitive musical instrument by replacing each letter with a different letter. The repeated letters (A is this case) must be replaced with the same replacement letter in the new word.

What is the musical instrument?

PANPIPE

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The Mystery Six-Digit Number

Find a six-digit number containing no zeros and no repeated digits that satisfies the following conditions:

1. The first and fourth digits sum to the last digit, as do the third and fifth digits.
2. The first and second digits when read as a two-digit number equal one quarter the fourth and fifth digits.
3. The last digit is four times the third digit.

192768.

If you call the number ABCDEF, then you get the following equations.

1. A + D = F and C + E = F
2. AB = DE / 4
3. F = 4 × C

The only numbers that work for C and E are 2 and 6 or 4 and 8, and in order to make F a single-digit number, we can deduce that C = 2, E = 6 and F = 8.

So far, our number is AB2D68.

We know A + D = 8 so A and D are both odd numbers. The only odd number less than 8 that we can use for D to make one-quarter of two-digit number D6 also be a two-digit number is 7, so D = 7 and A is 1. This makes the two-digit number AB 19.

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