Numbers Map

Arrange the numbers from 1 to 8 in the following sequence.

     a
  b  c  d
  e  f  g
     h

Each number must not be diagonally or directly adjacent to any number directly before or after it.

For example, 2 can only be placed in one spot.

     2
  x  x  x
  x  1  x
     x

Here are two solutions (there might be more).

    7
3   1   4
5   8   6
    2

    2
5   8   6
3   1   4
    7
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The Correct Name

Donald and Regan are married with four children, named Michael, Farley, Solomon and Larry. They just had a baby girl and are picking the name. It’s down to Olivia, Tiffany and Jasmine. Donald’s brother, a piano teacher, tells them only one of the names would be correct. Which name is it?

Tiffany. The rest of the family’s names start with solfège syllables: Do, Re, Mi, Fa, Sol, La. The last syllable is Ti, for Tiffany.

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4 5 6 6

What is the next digit that should appear in this list of numbers?

4 5 6 6 5 4 4 2 ?

7. The digits represent the number of letters in each word of the puzzle. “What” has four letters, “digit” has five letters, “should” has six letters, etc. The last word is “numbers” which has seven letters.

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AADFJJ

A A D F J J J M M N ?

What comes next in the series?

O S. The series contains the first letter of each month in alphabetical order (April, August, December, February, January, July, June, March, May, November). O and S represent the remaining 2 months, October and September.

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2 + 2 = 5

What is the similarity between “2 + 2 = 5” and your left hand?

Neither is right. Two plus two equals five isn’t right, or correct and your left hand is not your right hand.

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Even Seven

How can you make seven even?

Remove the letter “s”, turning it into the word “even”.

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Hold In Your Left Hand

What can you hold in your left hand and not in your right?

Your right elbow. You can try it yourself if you’re not convinced, but unless you have a broken arm or an incredibly flexible ulna, you won’t reach it.

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Blame the Couple

A married couple is traveling by bus on dangerous mountain roads. Midway through their journey the bus stops for snacks and a restroom break. The couple is enjoying the postcards in the store when the bus driver curtly tells them it’s past time to leave. Fifteen minutes after, the bus is hit by a mud slide and two people are killed. The couple blames themselves for the deaths. Why?

They blame themselves because they caused the bus to be late. If they had been on time, the bus would have already passed the location of the mud slide.

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5 25 325 4325

Given

1 = 5
2 = 25
3 = 325
4 = 4325

What does 5 equal?

54325. Rather than being a mathematical solution, the answer is derived by prepending (putting in front of) the value on the left side of the equation with the previous answer. So for 3 you take 25, the previous answer, and put 3 in front, giving you 325. Then you put 4 in front to get 4325 and lastly, put 5 in front to get 54325.

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Code in the Cold

Last winter I found myself locked out of my house because I couldn’t remember the 5-digit code to open the garage door. I used the following facts to get inside.

1. The second and third digits add up to 9.
2. The first digit is equal to the second digit cubed.
3. The sum of the third and fifth digits is the smallest number with exactly five divisors.
4. The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.

What was the code?

82709

If we label each digit a, b, c, d and e, we get the following equations.
1. b + c = 9
2. a = b3
3. c + e = 16 (since 16 is the smallest number with five divisors – 1, 2, 4, 8 and 16).
4. d = 6 * d (The fourth and second-to-last digits are the same number, meaning d must be zero to satisfy the equation)
5. b must be zero, one or two (b can’t be three because that makes a=27, which isn’t a single digit). Zero and one result in duplicate digits (00907 and 11808 respectively) so the only remaining value for b is 2, giving us 82709 and warmth.

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