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One Three Five

What word comes next?

one three five four ______

Four. Each word is the number of letters in the previous word. And since four has four letters, it would continue with four forever after.

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A Trapped Flock of Birds

A flock of birds are trapped in a delivery truck. When would the truck weigh the most?

a) When the birds are resting on the floor
b) When they’re all flying
c) The weight remains the same

c – The weight doesn’t change since it’s a closed system.

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Characters In The Correct Order

Put the characters C D M L X in the correct order (not alphabetical).

X (10), L (50), C (100), D (500), M (1000). They’re Roman numerals in order from smallest to largest.

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The Secret Lair

A secret lair has a code to only allow members to enter. The person wanting to enter says a random number, then is told a number in response. In order to enter they must say the correct third number. Here are sequences that allowed entrance.

1 3 5
27 11 6
9 4 4

What’s the third number of this series?

16 7 ?

Five because s-e-v-e-n has 5 letters. The first number can be anything, the second number is the number of letters in the first number, and the third number is the number of letters in the second number.

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Copying Cassette Tapes

Joe and Andrea want to copy three 60-minute cassette tapes. They have a 2-cassette recorder to copy the tapes, allowing them to copy two tapes at a time. Each side takes 30 minutes to be copied, so two tapes can be copied in an hour and the third will take another hour. Andrea bets Joe she can copy all three tapes in 90 minutes. Does she win the bet?

In the first 30 minutes Andrea copies the A sides of tape 1 and 2.
In the second 30 minutes, she copies tape 1 side B and tape 3 side A (finishing Tape 1).
In the last 30 minutes, she copies tape 2 side B and tape 3 side B.

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Paris to Roye

Hans made a meandering journey from Paris to Roye. On the first day, he went half of the distance. On the second day, he went one third of the remaining distance. On the third day he went three quarters of the remaining distance. The next day he traveled half of the remaining distance and was left with 5 kilometers to get to Roye. How far was the entire journey?

120 kilometers.

Hans’ trip went like this:

Day 1 – 60 km (60 km remaining)
Day 2 – 20 km (40 km remaining)
Day 3 – 30 km (10 km remaining)
Day 4 – 5 km (5 km remaining)
Day 5 – 5 km (arrives in Roye)

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Longest AIOTS word

What is the longest word you can find using only the letters AIOTS (each letter can be used any number of times)?

Tattooists, which has 10 letters.

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Dragon Lewis

Rearrange the letters in this phrase to make a single word.

DRAGON LEWIS

A SINGLE WORD. Tricky, eh? But you can’t complain, since I gave you the answer.

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Fewest Queens For Full Attack

What is the smallest number of queens required on a chess board to attack all squares?

5. To see where they need to be placed, check out the diagram on Wolfram’s Queens Problem page.

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$500 For Basketball

500 people attended a high school basketball game and raised $500 for the school.

The prices were as follows:
Mothers $3.00
Fathers: $2.00
Children $0.48

More mothers than fathers turned up. How many children were there?

375 children (70 mothers and 55 fathers)

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