Brain Teasers & Puzzles
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The overly feminist rulers of a country decide that there are too many baby boys being born. The rulers decide to enforce a new law concerning child birth on their overly prosperous subjects. Each family is permitted to have as many children as they want, provided that they only produce baby girls. Once a baby boy enters the family, the family is no longer permitted to have children. Assuming each law abiding family wants to have as many children as possible, what will happen to the ratio of boys to girls, and why?
the ratio of boys to girls will go up.
the ratio of boys to girls will stay the same.
the ratio of boys to girls will go down.View SolutionSubmit Solution- 1,120.8K views
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Jacob, his daughter, and the evil Joju lived in a city. Jacob was in debt to Joju, and Joju had his eye on Jacob’s daughter. Joju made a proposition: he would place a black stone and a white stone in a bag, and Jacob’s daughter would pick one out in front of the People of city. If she drew the white stone, Joju would forgive Jacob’s debt. If she drew the black stone, Joju would marry Jacob’s daughter. Jacob had no choice but to agree. Jacob’s daughter has no reason to trust Joju, and believes that he will place two black stones in the bag. How can she get out of marrying Joju?
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A jar contains one hundred marbles, each of which may be white or black. You pull out 100 marbles with replacement, and they are all white. What is the probability that all one hundred marbles are white?
(Note: “With replacement” means you take out a random marble, look at its colour, then put that marble back. Then repeat.)
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There is a car with a flat roof, on a plain level road. There is a helium balloon in the car, barely scraping the roof – any slight force will move it. You start the car and accelerate forward very fast. Does the balloon move with respect to the car? If so, how ? (No any trick and no any air from window)
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What is the least number of links you can cut in a chain of 21 links to be able to give someone all possible number of links up to 21?
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There are two cylindrical rods of iron, identical in size and shape. One is a permanent magnet. The other is just non-magnetised iron — attractable by magnets, but not permanently magnetic itself. Without any instrument, how can you determine which is Magnetic ?
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A boat of mass M1 is floating in a lake of water. The volume of the lake is V. The water surface is initially at height h, as measured relative to the lake’s floor. There is an anchor of mass M2 sitting on the boat’s deck. A person standing on deck picks up the anchor and throws it overboard. The anchor then sinks to the bottom of the lake, and the water surface height becomes h’.
Which of the following qualitative relationships is correct? What assumptions are you making about the values of M1, M2, h, and V?
h’ h
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A specialist Gardener asked by a Mathematics professor to plant four trees that are all equidistant from each other. How do he place the trees?
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Jacob and John are competing for the same girl. After years of battling, both decide to settle it by tossing a coin.
John produces a coin, but Jacob doesn’t happen to have one on him. Jacob is sure that the coin John has produced is loaded, i.e. it will come up with heads more than 50% of the time on average.
How do Jacob arrange a fair contest, based purely on chance and not skill, by flipping this coin?
Variation: (COIN BIASING) Jacob and John are competing for the same girl, and decide to settle it with a coin toss. John has known the girl longer than Jacob have, so Jacob agree that it is fair for him to have a chance of winning equal to P, where P > 0.5. However, Jacob only have a fair coin. How can you conduct this contest such that the biased probability is manifested? What is the average number of coin flips needed to determine a winner?
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Pairs of primes numbers separated by a single number are called prime pairs like 17 and 19. Prove that the number between a prime pair is always divisible by 6 (assuming both numbers in the pair are greater than 6).
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A snail is at the bottom of a well that is 20 meters in depth. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. How many days must elapse till the snail reaches the top of the well?
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On a circular path two person are walking in anti direction. How many times they will cross each other in one full round ?
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An analog clock showing 3:15. What is the angle between the minute hand and hour hand?
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Jacob is hanging out on a heavily forested island that is really narrow: it is a narrow strip of land that is Eight miles long. One End of the strip is A, and the other end B. A fire has started at A and the fire is moving toward B at the rate of 1 mph. at the same time, there is a 2 mph wind blowing in the direction from A toward B. what can Jacob do to save himself. Assume that Jacob can’t swim and there are no boats, jet-copters, teleportation devices, etc.. (if he does nothing, Jacob will be toast after at most 8 hours, since 8 miles / 1 mph = 8 hours)
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