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

Twice in Eternity

I occur twice in eternity,
And I’m always within sight.

What am I?

The letter ‘t’.

Posted in Riddles
Tagged with

First In Flower and In Rose

My first is in FLOWER and in ROSE
My second is in FORK and well as HOSE
My third is in CROCUS but not in GNOME
My fourth is in RAKE never in HOME
My fifth is in HOE and also in WEEDS
My sixth is in SHEARS though not in SEEDS
My seventh is in LADYBIRD not in CREATURE

What am I?

Rockery

Posted in Riddles

What Can Lift Objects

What can lift objects
or hopelessly try,
but only when filled,
or, lifeless, it lies?

A glove.

By Sef Daystrom

Posted in Riddles

English and Afrikaans

What is a six-word sentence that has the same meaning and spelling in both English and Afrikaans?

My pen is in my hand. It’s not all that meaningful of a sentence, but it’s the same in English and Afrikaans.

Posted in Brain Teasers

Look at My Face

If you look at my face you won’t see 13 in any place. What am I?

A clock face. It only has the numbers 1 through 12.

Posted in Riddles
Tagged with

Captain Mark

Captain Mark is the captain of the ship. The captain of the ship is Captain Mark. The ship has plenty of space.

What is the name of the ship?

The Space Shuttle Endeavour, captained by Mark Kelly.

I received this by email from someone who didn’t know the answer. Thanks to Devon for helping with this answer.

Posted in Riddles

What Work is Never Finished?

What work can one never finish?

An autobiography. Unless you’re writing it in your death bed I suppose, but even then, how will you be able to record the time of death?

Posted in Riddles

Asks No Questions

What asks no questions but receives lots of answers?

A phone or doorbell.

Posted in Riddles

Nearly A Victory, Quickly I Pass

Nearly a victory,
Quickly I pass,
A request of the chair,
I’m silver, not brass.

What am I?

Second. Second place is next to winning. Seconds, the measure of time, pass quickly. Seconding a motion is requested by the chair of the body in Parliament. And the second place finisher in many sporting events such as the Olympics is awarded the silver medal.

And as for why the unit of time is called a second, it goes back to the days of Ptolemy. A second of time is the second small part, or pars minuta secunda, of an hour. (Thanks to Tim J for researching it).

Posted in Riddles