A bookworm eats from the first page of an encyclopedia to the last page in a straight line. The encyclopedia consists of ten 1000-page volumes and is sitting on a bookshelf in the usual order. Not counting covers, title pages, etc., how many pages does the bookworm eat through?
On a book shelf the first page of the first volume is on the “inside”, so the bookworm eats only through the cover of the first volume, then 8 times 1000 pages of Volumes 2 – 9, then through the cover to the 1st page of Vol 10 for a total of 8,000 pages.
Note: The question asks how many pages, not how many sheets of paper.
They are the only letters in the alphabet that are not found at the beginning of the name of a state in the United States of America. The rest of the letters in the alphabet, namely ACDFGHIKLMNOPRSTUVW, start the name of at least one state. Incidentally, eight different states each start with the letters M and N, tying them for the most states starting with a particular letter. The next highest is a three-way tie between A, I and W with four each.
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?
I am here, I am there
I am burned into the mind of none
I walk on fire and live on ice
My words are meaningless for I talk not
I hate everyone yet fear no one
I have lived for centuries
Yet I have never existed
What am I?
A word with horizontal symmetry is one whose letters are a mirror image of themselves. If you drew a horizontal line across the word and folded it over, it would overlap on itself. For example, EXCEEDED and ICEBOX have horizontal symmetry, but VERTICAL and SIMPLE do not.
What is the longest word with horizontal symmetry?