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Is it true that everyone hates math?
You know, a lot of people tell me they hate math and were bad at it. But I think there must be millions of people who are good at math and probably love it. ...
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0.9999....1?
Try to solve 0.999…=1? before you read the solution! There are actually many ways to prove that the equality is true, of course. 1. 910^ -1+...
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How to plant 4 trees at equal distances from each other?
A man wanted to plant 4 trees, but all 4 had to be equal distances from each other. How did he do it? Try and post the solution if you know the answer…
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A function
f(z)=az^2+bz+c f(z) is real if z is real and f(z) is imaginary when z is imaginary.Prove that a=0
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Try thinking your brain out by this
Let me first outline the situation. There is a man, a garden full of flowers, a lake which doubles the number of flowers which are dipped in it and three tem...
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Unique Number
There is a number that is 9 times the sum of its digits. What is this number?
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Lines drawn at a tangent
Consider 32 lines drawn at a tangent to an ellipse. The lines break up the plane into several regions, some bounded (i.e., enclosed) and others unbounded. Ho...
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Semicircle in a square
Find the area of the largest semicircle that can be inscribed in the unit square.
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Zero power
Generally, Any number to the zero power is 1, and zero to any power is 0. That is, x ^ 0 = 1 and 0 ^ x = 0 (where x is any number). But if that is the ...
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IS infinity a VERY VERY LARGE ENTITY ?
How do we define INFINITY?
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What is the largest number you can write with just three digits?
What is the largest number you can write with just three digits? No symbols and characters allowed. (Here’s a hint: it’s not 999)
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probability
Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter , she prepared an envelope with its correct address. If the 4 letters...
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1000 Lockers
There are 1000 closed lockers. There are 1000 students. The first student comes in and opens every locker. The second student REVERSES every second lo...
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Missing Square
Can you fill in the missing square with the number that logically belongs there? 2 2 2 2 2 6 10 14 2 10 ...
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Number Series...
In each of the following questions, one number series is given. In each series one number is wrong. After searching the wrong number find out the correct ...
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Probability
What is the probability of getting at least one six in a single throw of three unbiased dice?
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Geometry
A circle of maximum possible size is cut from a square sheet of board. Subsequently, a square of maximum possible size is cut from the resultant circle. ...
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Meaning of Bayes theorem in Probability
I want the Meaning of Bayes theorem in Probability Don’t give the proof of the statement Give me an example which reflects the meaning of the statement
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probability
A screening test is carried out to detect a certain disease.It is found that 12% of positive reports and 15%of the negative reports are incorrect.Assuming th...
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algebra
solve x3=i , where i2=-1
