Four Weights To Thirty

What four weights can be used to balance from one to thirty pounds?

A = 1
B = 3
C = 9
D = 17

1 lb = A
2 lbs + A = B
3 lbs = B
4 lbs = A + B
5 lbs + A + B = C
6 lbs + B = C
7 lbs + B = A + C
8 lbs + A = C
9 lbs = C
10 lbs = A + C
11 lbs + A = B + C
12 lbs = B + C
13 lbs = A + B + C
14 lbs + B = D
15 lbs + B = A + D
16 lbs + A = D
17 lbs = D
18 lbs = A + D
19 lbs + A = B + D
20 lbs = B + D
21 lbs = A + B + D
22 lbs + A + B = C + D
23 lbs + B = C + D
24 lbs + B = A + C + D
25 lbs + A = C + D
26 lbs = C + D
27 lbs = A + C + D
28 lbs + A = B + C + D
29 lbs = B + C + D
30 lbs = A + B + C + D

Posted in Brain Teasers

Remove Four And I’m The Same

I am an English word with five letters. If you remove my last four I am still pronounced the same. What am I?

Queue.

Posted in Riddles

Something To Everybody And Nothing To Everyone Else

What is something to everybody and nothing to everyone else?

Your mind.

Posted in Riddles

Two Eights and Two Threes to Make Twenty Four

Using one or more addition, subtraction, multiplication or division operations, what formula using the numbers 3, 3, 8 and 8 equals 24?

8 ÷ (3 – (8 ÷ 3)) = 24

Posted in Brain Teasers

Hundreds of Letters

What seven-letter word has hundreds of letters in it?

Mailbox

Posted in Brain Teasers

Debbie’s Dragster

Debbie starts driving her dragster from rest and constantly accelerates to 60 mph in 10 seconds. How far does she travel in those 10 seconds?

1/12 mile

Ten seconds is 1/6 of a minute and 1 minute is 1/60 of an hour, so 10 seconds is 1/360 of an hour.

If you graph her trip with the speed on the y-axis and the time on the x-axis, you get a triangle with height of 60 mph and width of 1/360 of an hour. To calculate the area of the triangle, you multiply 1/2 × 1/360 × 60 = 1/12.

Posted in Brain Teasers

As Heavy As Man’s Golden Greed

A metal neither black nor red,
As heavy as man’s golden greed.
What you do to stay ahead,
With friend or foe or arrow and steed.

What am I?

Lead. Lead is a metallic gray, is very heavy and in order to stay ahead of someone, you need to be in the lead.

Posted in Riddles

In Your Body Free the First Two Times

What is in your body for free the first and the second time but the third time you have to buy yourself?

Your teeth. You get baby teeth and adult teeth as part of the life package, but once you lose those you get to pay for dentures (or scare small children with your sunken face).

Posted in Riddles

False Positive HIV Test

Imagine an HIV test that is 95% accurate (false positive rate of 5%) and around 2% of the tested population is infected with HIV. What is the probability that you actually have HIV when your test comes back positive?

29%

To read more about this, see the False Positive Paradox page on Wikipedia.

Posted in Brain Teasers

Eight Eights For A Thousand

How can you add 8 eights to equal 1,000?

888 + 88 + 8 + 8 + 8 = 1,000

Posted in Brain Teasers