What is the Five Digit Number?

What 5-digit number satisfies the following requirements?

1. No zeroes
2. First two digits are the same
3. Fourth digit is twice the first
4. Last digit is twice the third
5. Sum of all digits is 18

33264.

There are several ways of solving this. One way is to represent each spot with a letter, A – E.

Then you have these equations:

A = B
D = 2 * A
E = 2 * C
A + B + C + D + E = 18

By simplifying, you get:

4 * A + 3 * C = 18

Plug in values for A and C to find that A = 3 C = 2.

Posted in Brain Teasers

I Make Men Crazy

I can make men crazy,
I shine when you retire.
I move water without a touch,
My colors may cause you ire.

The moon. The moon has a long association with being crazy (lunar being the basis for a lunatic). It shines at night, when you go to bed. The moon’s gravity creates the ocean tides and when the moon is different colors it can mean bad weather is on its way.

Posted in Riddles

Job Hopping Jeremy

Jeremy was making $10 an hour at his summer job, but he hated the work. He decided to take a 50% pay cut to work at an easier job. He liked his new job at first, then grew bored and found another job paying 50% more than he was currently making. What was his hourly pay at the third job?

$7.50. If you guessed $10, don’t feel bad. Percentages can be counter intuitive.

First job: $10/hour
Second job: $10/hour – ($10 &times .5) = $5/hour
Third job: $5/hour + ($5 × .5) = $7.50

Posted in Brain Teasers

The Correct Name

Donald and Regan are married with four children, named Michael, Farley, Solomon and Larry. They just had a baby girl and are picking the name. It’s down to Olivia, Tiffany and Jasmine. Donald’s brother, a piano teacher, tells them only one of the names would be correct. Which name is it?

Tiffany. The rest of the family’s names start with solfège syllables: Do, Re, Mi, Fa, Sol, La. The last syllable is Ti, for Tiffany.

Posted in Brain Teasers

Amber Knits and Fauna Worry

Find a single letter that replaces the first letter in the two words of each row to make two new words. What word is formed by combining the new letter of each row?

For example: PLANK _ BRISK

The new letter is F, making FLANK and FRISK. And F would be the first letter of the answer.

AMBER _ KNITS
FAUNA _ WORRY
WARNS _ AERIE
FEMUR _ GAILY

1. U – UMBER and UNITS
2. S – SAUNA and SORRY
3. E – EARNS and EERIE
4. D – DEMUR and DAILY

The new word is USED.

Posted in Brain Teasers

A C F H K ?

What is the next letter in this sequence and why? A C F H K _

M. Skip 1 letter then 2 letters, alternating.

Posted in Brain Teasers

Graphical Rebus Five

What does this rebus represent?

Rebus

I Feel the Earth Move

Posted in Riddles
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Midway Numbers

Select the number that is midway between the lowest number and the highest number.
Which number is midway between that number and the number that is nearest the highest number?

35  5 52 36 67
69  4 51 37 71
55 68  3 53 39

53.

37 is midway between 3 (the lowest number) and 71 (the highest number).
53 is midway between 37 and 69 (nearest to the highest number).

Posted in Brain Teasers

Born In December

Dustin was born on December 28th yet his birthday always falls in the summer. How is this possible?

Dustin is Australian, where the three hottest summer months are December, January and February.

Posted in Brain Teasers

Sleeping Killer

A man gets ready for bed at 9:45 pm. He makes himself a drink, then turns off the TV and the lights. The night was windy and there was a major storm. The next day he discovers he was the cause of seven deaths. How is this possible?

He lived in a lighthouse as lighthouse keeper. He turned off all the lights by accident, so a ship with 7 passengers couldn’t negotiate the rocky shores. One would think the light switches in a lighthouse would be more clearly marked.

Posted in Brain Teasers