Others Maths Puzzle

Two people are flipping coins. Each time, they bet $1 apiece. At the end, one person won $3 and the other one won three times. How many games did they play?

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Others Other Question

A man had a clock with an hour hand and a minute hand of the same length and indistinguishable. If the clock was set going at noon, what would be the first time that it would be impossible, by reason of the similarity of the hands, to be sure of the correct time? In grappling with this little problem, you may assume that it is possible to indicate fractions of a second. On this assumption, an exact answer can be given. An island comprises entirely of Liars and Truthers..

Truthers always tell the truth but Liars will always speak falsely.



Precisely 45 people attended a dinner in the island. Each one of them sat at a big round table.

After the dinner was over, each of the attendees was asked about their neighbours, and each stated that they were seated between one Liar and one Truther.

It transpired later that precisely two of the Truthers were mistaken in their statements.

Determine the number of Liars And Truthers attending the dinner.