Tag: general knowledge

Someone shows you two boxes and he tells you that one of these boxes contains two times as much as the other one, but he does not tell you which one this is. He lets you choose one of these boxes, and opens it. It turns out to be filled with \$10. Now he gives you the opportunity to choose the other box instead of the current one (and skip the \$10 of the first box), because the second box could contain twice as much (i.e. \$20). The Question: Should you choose the second box, or should you stick to your first choice to maximize the expected amount of money? A Hint : If you have \$10, and you could double this with a chance of 1/2, or half it with a chance of 1/2, one would expect an average of 1/2 * \$20 + 1/2 * \$5 = \$12.5 (so you would expect to gain $2.5)!...

In a city called Veldhoven the following facts are true: No two inhabitants have exactly the same number of hairs. No inhabitant has exactly 40360 hairs. There are more inhabitants than there are hairs on the head of any one inhabitant. What is the largest possible number of inhabitants of Veldhoven (knowing that the number of inhabitants is not infinite)?

Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses.

A.Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row.
B.Eliza and Anne are unwilling to stay besides any occupied cottage..
C.Karen is next to Peter and Jack.
D.Between Anne and Jackâs cottage there is just one vacant house.
E.None of the girls occupy adjacent cottages.
F.The house occupied by Tom is next to an end cottage.

Which of the above statements can be said to have been derived from two other statements ?

Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row. Eliza and Anne are unwilling to stay besides any occupied cottage.. Karen is next to Peter and Jack. Between Anne and Jack’s cottage there is just one vacant house. None of the girls occupy adjacent cottages. The house occupied by Tom is next to an end cottage. How many of them occupy cottages next to a vacant cottage ?

Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row. Eliza and Anne are unwilling to stay besides any occupied cottage.. Karen is next to Peter and Jack. Between Anne and Jack’s cottage there is just one vacant house. None of the girls occupy adjacent cottages. The house occupied by Tom is next to an end cottage. Which among these statement(s) are true ? 1. Anne is between Eliza and Jack. 2. At the most four persons can have occupied cottages on either side of them. . 3. Tom stays besides Peter