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You have a 3-gallon jug and 5-gallon jug, how do you measure out exactly 4 gallons?

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# SHAKE HAND PROBLEM

If there are 8 people in a room and they must shake hands with each other once without missing anyone. How many shake hands will take place?

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There are three squares in the picture and it is overlapping and forms 2 more squares.

What is the greatest number of squares you can make by overlapping three squares of the same size?

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The Hilton Hotel reserves all its 101 rooms for travelers and each guest is assigned a room in advance. The first guest arrives but has forgotten his room number. The hotel clerk, who does not have access to the reservations book, randomly puts him in one of the rooms. As the rest of the guests arrive they are given their reserved room if available or if already taken, are given a random empty room. What is the chance that the 101st guest gets her

reserved room?

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How many times are the hands of a clock at a right angle in a day?Â

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if a 0.1mm paper is folded 100 times then what will be the thickness of it after 100 foldings?

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Jack and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, Jack asked everyone, including his own wife, how many hands they shook. To his surprise, Jack got nine different answers. How many hands did Jack's wife shake?

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in Analog Clock, It's exactly 3:00 Clock. What time would the Hour hand, and Min hand would overlap each other?

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