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

Three Digits in a Row

On a regular 12-hour digital clock how many times would the same three digits in a row be displayed (e.g. 1:11, 11:12, 12:22) in one day?

34 times. These 17 instances will be visible twice in a 24 hour period.

1:11
2:22
3:33
4:44
5:55
10:00
11:10
11:11
11:12
11:13
11:14
11:15
11:16
11:17
11:18
11:19
12:22

Posted in Brain Teasers

CASE Rebus

CA   SE
CASE

Open and closed case.

Posted in Riddles
Tagged with

How Old is Lilly?

Two days ago Lilly was 7 years old. Next year she will turn 10. How can this be?

Her birthday is December 31st. Today is January 1st so she was 7 two days ago, and turned 7 last year. Now she’s 8 and will turn 9 this year. And next year she’ll turn 10.

For example, if today is 01 Jan 2015:

30 Dec 2014 = age 7 (two days ago)
01 Jan 2015 = age 8 (today, she turned 8 on 31 Dec 2014, which was last year)
31 Dec 2015 = age 9 (her birthday this year)
31 Dec 2016 = age 10 (her birthday next year)

Posted in Brain Teasers

Kings And Lords And Christians Raised Them

Kings and lords and christians raised them
Since they stand for higher powers
Yet few of them would stand, I’m certain,
If women ruled this world of ours.

A tower.

Posted in Riddles

Singular When Adding an S

There are many English words that you can add an “s” to make it plural. But far fewer words become singular when you add an “s”. What are two examples of these much rarer words?

Cares -> Caress
Princes -> Princess

Posted in Brain Teasers

A Precious Thing to Most

A precious thing to most,
In order to take it,
You must already have it.

What is it?

Life.

By Sef Daystrom

Posted in Riddles

Find The Country Names

How many country names can you find in the following statements?

Don’t reach in a crack in the rocks, there might be snakes in there.
While I was on the highway called the Alcan, a daily occurrence was car breakdowns.
The top social class, as defined by many, is the upper-upper.

Three.

1. China (reaCH IN A)
2. Canada (alCAN A DAily)
3. Peru (upPER-Upper)

Posted in Brain Teasers

What Toby Likes

Toby likes indigo but not red. He likes onions but not turnips. He likes forms but not shapes.

According to the same rule, does he like tomatoes or avocados?

Toby only likes words that start with prepositions, like his name. Thus he likes tomatoes, not avocados.

Posted in Brain Teasers

Loses Its Head Every Morning

What loses its head every morning only to get it back every night?

A pillow.

Posted in Riddles