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These blades are white on one side and black on the other. They are placed in a glass chamber filled with gas at very low pressure.
Why does the lightbulb make the blades rotate?
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There are two cards—one with the letter "C" and the other blank.
You want to check if the following statement is true for the two cards:
If a card has a number on one side, then it is blank on the other.
Which card(s) must you flip?
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If you reverse all the digits of a positive integer, is it ever possible for the resulting number to be twice the original number?
Hint: You can approach this like a cryptogram puzzle; with three digits you would solve ABC+ABC=CBA where each letter represents a digit.
Note: The problem is done in base 10.
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I cut a pizza in the shape of a circular arc such that there are 2 pieces of equal area.
Is it possible that these 2 pieces have the same amount of crust on the circumference?
Assume the crust is 1-dimensional, i.e. it's just the circumference of the pizza with no area.
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Take the product of all positive divisors of 100: 1×2×4×5×⋯×100.
This product is divisible by some 2m, where m is an integer. What is the largest possible value of m?
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