Tag: math & puzzles

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

You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C contains one white marble and one black marble. You pick a random bag and take out one marble. It is a white marble. What is the probability that the remaining marble from the same bag is also white?