All Puzzles
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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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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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An analog clock showing 3:15. What is the angle between the minute hand and hour hand?
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If, 9999 = 4, 8888 = 8, 1816 = 6, 1212 = 0, then 1919 = ?
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Haretown and Tortoiseville are 72 miles apart. A hare travels at 9 miles per hour from Haretown to Tortoiseville, while a tortoise travels 3 miles per hour from Tortoiseville to Haretown. If both set out at the same time, how many miles will the hare have to travel to meet the tortoise en route
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Jacob and John were busily emptying their book shelves from one room to another.
Jacob on his own could have cleared the room in 18 hours.
John also would take 18 hours.
Unfortunately, James was moving the books back into the first room from the second.
He could fill the first room in 36 hours.
How long will it take the three of them to complete the task?
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The temperature rose by the same amount each day.
The average temperature was 2°C and I know it froze on two occasions.
I also know the product of the temperatures was over 500 but below 2,000 and each temperature was an integer.
What were the last 5 temperatures?
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