The Average of Three

There are three numbers. The first two are 2/3 and 3/4.

What does the third number have to be to make the average of all three be 2?

4 7/12

In order for the average of three numbers to be 2, they must all add up to 6. That gives you this equation:
2/3 + 3/4 + n = 6

Solve for n = 55/12, or 4 7/12.

Posted in Brain Teasers

Finding Rhymes in Categories

Find rhymes for each set of words so the first is a category and the rest are items in the category.

For example, LOYALTY: spring, clean, rinse → ROYALTY: king, queen, prince

1. LOIN: mortar, climb, pickle
2. SQUISH: famine, search, doubt
3. GILDING: radium, Bose, hassle
4. THYME: surgery, girder, scrutiny

1. COIN: quarter, dime, nickel
2. FISH: salmon, perch, trout
3. BUILDING: stadium, mosque, castle
4. CRIME: perjury, murder, mutiny

Posted in Brain Teasers

A Neck and No Head

What has a neck and no head, two arms but no hands?

A shirt (or sweater, jacket, etc).

Posted in Riddles

Guide and Scraping Along

Guided, I am scraping along,
leaving behind my snow white dust
against that which I am scraping,
for when I am scraping, I must.

Chalk

By Sef Daystrom

Posted in Riddles

Three Kinds of Apples

Three kinds of apples are mixed randomly in a box. How many apples must you take out to be sure of having at least two apples of one kind?

Four. If the apples are A, B, and C, it’s possible that you could take out one A, one B and one C with three apples, but the fourth apple must be one of the three kinds.

Posted in Brain Teasers

Cornelius and the Flat Tire

Cornelius got a flat tire on a miserable, rainy day. As he was changing it on the side of the road, he placed the four lug nuts in the overturned hub cap. As our dear friend was moving back to put on the spare, he accidentally bumped the hub cap. He watched helplessly as all four lug nuts rolled into a deep sewer and were whisked away. Then our friend had a brilliant solution and within minutes was driving safely away.

What was his solution?

He removed one lug nut from each of the other 3 tires and used them to secure the spare tire, then drove to a tire shop.

Posted in Brain Teasers

A NA A SA A

A NA A SA A A

What comes next in the series?

E. Each item is the first letter(s) of one of the seven continents:

1. Asia
2. North America
3. Africa
4. South America
5. Australia
6. Antarctica
7. Europe

Posted in Brain Teasers
Tagged with

JAJWUTH

JAJWUTH
TFAPOW
JFDABHC

What are the next five letters in this sequence?
Hint: Think back to childhood rhymes.

AJCTA. These are the first letters from the nursery rhyme, “Jack and Jill Went Up The Hill”. AJCTA represents, “and Jill came tumbling after”.

Posted in Brain Teasers

Useless Keys

What keys don’t unlock any doors?

Piano keys, keyboard keys, monkey, donkey, turkey, jockey, hockey, doohickey, malarkey and passkey. There may be others, but you get the drift.

Posted in Brain Teasers

Lots and Lots of Granola Bars

Marla needs snacks for the students on her field trip. She bought 9 boxes of granola bars containing a total of 88 bars. She wanted variety, so she bought 3 different flavors, which happened to come from 3 different companies.

The Coconut Almond bars were packaged 8 to a box.
The Chewy Chocolate Chip bars came 10 to a box.
The Oats ‘n Honey package contained 12 per box.

She bought the most boxes of Coconut Almond but had the most Oats ‘n Honey bars.

How many of each did she buy?

Coconut Almond: 4 boxes × 8 in a box = 32 bars
Chewy Chocolate Chip: 2 boxes × 10 in a box = 20 bars
Oats ‘n Honey: 3 boxes × 12 in a box = 36 bars

Posted in Brain Teasers