Math Problems
@MathQuizzes
Short math problems, mind training, science quizzes.
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I have 11 coins on a board, all tales up. In a step, I can turn exactly 5 coins. Can I have all heads up in 7 steps? And in 6 steps?
Can I cut up a symmetric octogon into parallelogramms of equal area?
If n+1<k<2n, can n number of lines divide a plane into k subplanes?
Given 2 ropes, known that both of them burn down exactly in 1 hr. How can you measure exactly 15 min by burning the ropes? (Don't fold them)
I have two bottles, a 3L and an 5L one. I have infinite water. How can I measure out exactly 4L water with these?
I've got n coins, one of them is heavier, others are the same. I have a balance. How many measures do I have to take to find the odd one?
How many 150-digit numbers are there, where all the digits are even numbers, and any digit differs by 2 from the previos and the next digit?
Spse I have a set that follows normal dist. with m = 6 and sigma = 12. Where are the inflection points of the prob. density function?
If A is an m × n matrix and B is n × p matrix, is the transpose operation distributable over their matrix multiplication? Is it commutative?
Let (ABC) and (CBA) be two decimal numbers, where A,B and C stand for different digits. Can it be that both of them is a multiple of seven?
Where exactly is the point inside a triangle, where the product of the distances from the sides is the largest?
@geek_ahm I admit the problem is a little hard. Do you need a hint?
If a and b are positive numbers, and (x, y) is a point on the curve ax^2 + by^2 = ab, what is the largest possible value of xy?
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