Hard Puzzles

Every Year, five couples make their annual trek up a mountain and have a picnic lunch together at the top. Each couple consists of one man (Craig, Bob, Harold, Larry, or Pete) and one woman (Eileen, Phyllis, Victoria, Sally, or Lisa) Each couple brought one item to share (potato salad, hamburgers, pasta salad, dinner rolls, or hot dogs). Using the clues, determine who is a couple and who brought what item.
1. Phyllis and her husband brought the hamburgers
2. Harold and his wife are vegetarians
3. Craig asked Victoria for her pasta salad recipe
4. Both Harold and Craig were guests at Eileen’s wedding
5. Bob and Lisa have been happily married for 25 years
6. Larry and his wife brought the rolls
7. Sally brought hot dogs
8. Phyllis and her husband were guests at Craig’s weddingSubmit Solution 249 views
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Two robots are placed at different points on a straight line of infinite length. When they are first placed down, they each spray out some oil to mark their starting points.
You must program each robot to ensure that the robots will eventually crash into each other. A program can consist of the following four instructions:
 Go left one space
 Go right one space
 Skip the next instruction if there is oil in my current spot
 Go to a label
[Note that a “label” is a name that refers to a line of your code. For example, you could label the third line of your program “surveying”. Then, the instruction “goto surveying” would jump to line 3 and start executing from there on the next cycle.]
A robot will carry out one instruction per second. Both robots need not have the same program. Note that you won’t know ahead of time which robot is on the left and which is on the right.
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Ring City has 100 houses arranged in a circle. Alice starts at her own house, and every day she randomly moves to one of the two adjacent houses, each with 50% probability.She repeats this until she has visited all of the houses.
Which house(s) is/are the most likely to be visited last?
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Two women were selling marbles in the market place
– One at three for a paisa and
– Other at two for a paisa.One day both of them were obliged to return home when each had thirty marbles unsold. They put together the two lots of marbles and handing them over to a friend asked her to sell them at five tot 2 paise. According to their calculation, after all. 3 for one paisa and 2 for one paisa was exactly the same as 5 for 2 paise. Now they were expecting to get 25 paise tor the marbles, as they would have got. if sold separately But much to their surprise they got only 24 paise tor the entire lot.
Now where did the one paisa go? Can you explain the mystery?
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Andrew is shuffling a pack of 54 cards in total and after some time, he takes out a joker card.
Now,
He splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order?Submit Solution 702 views
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