## Special Two Letter Combinations

What do these three letter combinations have in common?

DE

HI

MN

Hint: These combinations don’t have it in common.

AK

IN

WY

They are the only three US state abbreviations whose two letters are next to each other in the alphabet.

DE – Delaware

HI – Hawaii

MN – Minnesota

## What is the First Number of the Sequence?

If a number in a numeric sequence is 17 and the second number is 3, what is the first number?

I hesitated to add this because it’s poorly worded, ambiguous and the answer could be almost anything. I prefer teasers with a single answer, but there you go.

If you came up with a different answer and can explain how you did it, don’t think you’re wrong. It’s probably just as valid. Feel free to share yours in the comments.

My answer for the first number is 2.

Here’s how I got it.

The generic rule for a number in the sequence is: 2^{^(n – 1)} + 1, where n is the position in the sequence.

Note: The teaser doesn’t specify the position of 17. In this case, it’s fifth.

Position 1: (so n = 1) is 2^{^(1 – 1)} + 1 = 2

Position 2: 2^{^(2 – 1)} + 1 = 3

Position 3: 2^{^(3 – 1)} + 1 = 5

Position 4: 2^{^(4 – 1)} + 1 = 9

Position 5: 2^{^(5 – 1)} + 1 = 17

For the curious, the next 5 numbers of the sequence would be:

Position 6: 2^{^(6 – 1)} + 1 = 33

Position 7: 2^{^(7 – 1)} + 1 = 65

Position 8: 2^{^(8 – 1)} + 1 = 129

Position 9: 2^{^(9 – 1)} + 1 = 257

Position 10: 2^{^(10 – 1)} + 1 = 513

## The Answer Isn’t 6

What goes in place of the question mark?

1 3 5

2 4 ?

(It’s not 6)

R. It’s a representation of a stick shift, where 1-5 are gears and R represents reverse.

## Turd Station

At Coney Island (the amusement park in Ohio) over Memorial Day weekend I saw a changing station in the men’s bathroom. A clever fellow had scraped off some letters to make the changing station read, “Turd Station”. What was the original name of the changing station?

sTURDy Station2, by Rubbermaid.

Here’s a picture of one without the letters scratched out.

## Least Sleepy Month

In what month do people sleep the least?

February, because there are fewer days.

## What Are The Next Three Numbers in the Series?

What are the next three numbers in this series?

4

6

12

18

30

42

60

72

102

108

?

?

?

Each number is surrounded by a prime number.

4 – 3 and 5 are prime

6 – 5 and 7 are prime

etc.

The next three numbers after 108 that have primes before and after them are:

138, 150 and 180.

## A Game of Cards

In a game of cards, GEORGE partnered with MARY, while TED had to choose a partner. He could have chosen ANN, EDNA, JOAN or ANGELA. Whom did he choose and why?

ANN. If you give each letter a number according to its position in the alphabet:

TED = 20 + 5 + 4 = 29

ANN = 1 + 14 + 14 = 29

(George and Mary each add to 57)

## Kevin’s School Supplies

Kevin brings his school supplies to the counter. The cashier rings up his purchase for a total of $1.70. Kevin is puzzled, and says, “I bought 2 pencils at 2 cents each, 5 pencils at 4 cents each and 8 notebooks and 12 sheets of colored paper. I don’t remember the prices of the latter two, but the total can’t be $1.70.”

How did Kevin know?

Because 4 cents, 20 cents, 8 notebooks and 12 sheets of colored paper are all divisible by 4, but 170 cents isn’t.

## Fish Seal Word Ladder

Get from the word FISH to SEAL by changing one letter at a time and forming another English word in each step.

1. FISH

2. _ _ _ _

3. _ _ _ _

4. _ _ _ _

5. _ _ _ _

6. SEAL

1. FISH

2. FIST

3. FEST

4. FEAT

5. SEAT

6. SEAL

## Thin Barn Word Ladder

Get from the word THIN to BARN by changing one letter at a time and forming another English word in each step.

1. THIN

2. _ _ _ _

3. _ _ _ _

4. _ _ _ _

5. _ _ _ _

6. BARN

1. THIN

2. CHIN

3. COIN

4. CORN

5. BORN

6. BARN