The Mystery Six-Digit Number

Find a six-digit number containing no zeros and no repeated digits that satisfies the following conditions:

1. The first and fourth digits sum to the last digit, as do the third and fifth digits.
2. The first and second digits when read as a two-digit number equal one quarter the fourth and fifth digits.
3. The last digit is four times the third digit.

192768.

If you call the number ABCDEF, then you get the following equations.

1. A + D = F and C + E = F
2. AB = DE / 4
3. F = 4 × C

The only numbers that work for C and E are 2 and 6 or 4 and 8, and in order to make F a single-digit number, we can deduce that C = 2, E = 6 and F = 8.

So far, our number is AB2D68.

We know A + D = 8 so A and D are both odd numbers. The only odd number less than 8 that we can use for D to make one-quarter of two-digit number D6 also be a two-digit number is 7, so D = 7 and A is 1. This makes the two-digit number AB 19.

Posted in Brain Teasers

Not Want to Have But Not Want to Lose

What do you not want to have and not want to lose?

A lawsuit.

Posted in Riddles

A Harvest Sown and Reaped

A harvest sown and reaped on the same day
In an unplowed field,
Which increases without growing,
Remains whole though it is eaten
Within and without,
Is useless and yet
The staple of nations.

A war.

Posted in Riddles

Leave a Grieving Wife

If you throw me from the window,
I’ll leave a grieving wife.
Bring me back, but in the door and,
You’ll see something giving life.

What am I?

The answer is the letter ‘n’. Taking ‘n’ out of window makes widow. And putting ‘n’ back into door makes donor.

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The Long River

How many times does the letter S appear in the name of the longest river in the world?

Zero. The Nile is the longest river in the world. Some claim the Amazon as the longest, but that too has no “S”es (that looks weird but I don’t know how else to write the plural of “s”). The Mississippi is the 4th largest river in the world according to a href=”https://en.wikipedia.org/wiki/List_of_rivers_by_length”>Wikipedia.

Posted in Riddles

Part Of The Bird

The part of the bird
that is not in the sky,
which can swim in the ocean
and always stay dry.

What is it?

The bird’s shadow.

Posted in Riddles

What Does He Weigh?

The owner of the butcher shop is five foot ten inches tall, has brown hair and wears size 11 1/2 shoes. He is married and has two children, one boy and one girl. What does he weigh?

Meat. The rest of the details were merely distractions. Butchers weigh meat at a butcher shop.

Posted in Brain Teasers

Counting Your Presents

According the song “The Twelve Days of Christmas”, how many total gifts were received?

364. Here’s the explanation.

Posted in Brain Teasers

Sentca

Four words can be made from the letters below. What are the words?

S E N T C A

1. ENACTS
2. ASCENT
3. STANCE
4. SECANT

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Voiceless It Cries

Voiceless it cries, wingless flutters, toothless bites, mouth-less mutters. What is it?

The wind.

Posted in Riddles