Largest Product

Using all the digits from 1 to 7, what two numbers have the largest product? For example, 1234 x 567 = 699678 but you can do much better than that.

742 x 6531 = 4,846,002.

A similar problem can be found in L.A. Graham’s Ingenious Mathematical Problems and Methods with a range of 1 to 9, but the principle remains the same – the numbers with the smallest difference produce the largest product. You start out with the highest two digits, 7 and 6, then attach 5 and 4, putting the smaller of the two digits with the larger number, giving you 74 and 65. The next two highest digits are 3 and 2, giving you 742 and 653. Finally, you add the 1 to the lower number. Page 80 has the details of that solution.

Posted in Brain Teasers

A Sunday Morning Murder

A man was killed on Sunday morning. His wife found the body and called the police. The police arrived and questioned the chef, maid, butler, and gardener. Their alibis were:

Chef – making breakfast
Maid – getting mail
Butler – setting table
Gardener – watering plants

The police immediately arrested the criminal. Who was it and how did they know?

The maid. Mail isn’t delivered on Sunday.

Posted in Brain Teasers

On My Own I’m Twenty-Fourth

On my own I’m 24th,
Two of us and I’m 20,
Three of us and I’m 18.

What am I?

The letter X. It is the 24th letter of the alphabet, two Xs in Roman numerals equals twenty and triple x represents adult content, and adulthood is eighteen by law in most countries.

Posted in Riddles

Short Black Dress

In the day I stand tall in a white petticoat. By evening I’m in my short black dress. What am I?

The wick of a candle.

Posted in Riddles

To Frighten a Thief

What four letters frighten a thief?

OICU (Oh I see you!)

Posted in Riddles

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

Posted in Brain Teasers

Animals On the Ark

How many of each animal did Moses take on the ark?

None. Moses didn’t have an ark, Noah did (and yes, he took 2 of each animal).

Posted in Brain Teasers

The Tail of a Dragon

What animal can be created from the head of a lamb, the body of a pig, the hind quarters of a buffalo and the tail of a dragon?

A lion.

Head of a lamb = L
Body of a pig = I
Hind quarters of a buffalo = O
Tail of a dragon = N

Posted in Brain Teasers

I Turn Polar Bears White

I turn polar bears white
and I will make you cry.
I make guys have to pee
and girls comb their hair.
I make celebrities look stupid
and normal people look like celebrities.
I turn pancakes brown
and make your champagne bubble.
If you squeeze me, I’ll pop.
If you look at me, you’ll pop.
Can you guess the riddle?

The answer to this admittedly lame riddle is, “No.” The reason is that the question at the very end asks if you can guess the riddle and there is nothing that satisfies all of the riddles’ requirements.

Some say that pressure is the answer, but they can’t explain how it turns polar bears white or pancakes brown. Nothing turns polar bears white, any more than something turns a snowflake white and heat makes pancakes brown, not pressure.

Posted in Riddles

Liquid Splashes But None Seeps Through

When liquid splashes me, none seeps through,
When I’m moved a lot, liquid I spew,
When I am hit, color I change,
And colors I come in, quite a range,
What I cover is quite complex,
Yet I am very easy to flex.

What am I?

Skin

Posted in Riddles
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