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.

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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)

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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.

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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

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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

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Asleep, Parts, Ideals Trianagrams

Rearrange the letters of the first word to form a new one, then rearrange the letters of the new word to form a third.

ASLEEP _ _ _ _ _ _ _ _ _ _ _ _
PARTS _ _ _ _ _ _ _ _ _ _
IDEALS _ _ _ _ _ _ _ _ _ _ _ _

1. ASLEEP, PLEASE, ELAPSE
2. PARTS, TRAPS, STRAP (TARPS or SPRAT also work)
3. IDEALS, SAILED, LADIES

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Not in Any State

Which letter of the alphabet is the only one that does not appear in any of the names of the 50 United States?

The letter Q.

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Fall Crop

What three or four-letter word belongs between the word on the left and the word on the right so that the first and second, and second and third words form a compound word or phrase?

For example: FOOT _ _ _ _ PARK would be BALL, or FOOTBALL and BALL PARK.

1. FALL _ _ _ CROP
2. KNEE _ _ _ SIZE
3. BOARD _ _ _ _ WAY

1. OUT – FALLOUT, OUTCROP
2. CAP – KNEECAP, CAPSIZE
3. WALK – BOARDWALK, WALKWAY

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A Corny Question

A merchant has 21 sacks of grain: 7 full, 7 half-full and 7 empty. He wants to divide them equally among his three sons. How can he do this, without transferring any grain between sacks, so each son has the same quantity of grain and number of sacks?

We know each son must end up with 7 sacks and 3.5 sacks of grain, since (7 sacks + 7 half sacks) / 3 = 3.5 sacks each.
There are two solutions.

Solution 1
Son 1: 3 full, 1 half-full and 3 empty.
Son 2: 3 full, 1 half-full and 3 empty.
Son 3: 1 full, 5 half-full and 1 empty.

Solution 2
Son 1: 2 full, 3 half-full and 2 empty.
Son 2: 2 full, 3 half-full and 2 empty.
Son 3: 3 full, 1 half-full and 3 empty.

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Rhyming Anagrams

There are four pairs of words below. Rearrange one of the words in the pair to form a word that rhymes with the other word. For example, if you had the following pair of words:

FRINGE LINGER

You would rearrange FRINGE into FINGER, which rhymes with LINGER. You can rearrange the letters of either word.

1. MOPIER PERIOD
2. GHOULS SCRUFF
3. JAILED LEVIED
4. WEIGHT ARTIST

1. DOPIER
2. SLOUGH
3. VEILED
4. STRAIT

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