What is the value of the variable X in the equation as shown in the figure?
Showing posts with label Mathematics Puzzle. Show all posts
Showing posts with label Mathematics Puzzle. Show all posts
Friday, March 26, 2010
Divide by Parts
Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?
Thursday, March 4, 2010
Folded sheet of paper
A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?
Painted cubes
Twenty-seven identical white cubes are assembled into a single cube, the outside of which is painted black. The cube is then disassembled and the smaller cubes thoroughly shuffled in a bag. A blindfolded man (who cannot feel the paint) reassembles the pieces into a cube. What is the probability that the outside of this cube is completely black?
Three simultaneous equations
Find all positive real solutions of the simultaneous equations:
- x + y2 + z3 = 3
- y + z2 + x3 = 3
- z + x2 + y3 = 3
Fermatt's squares
By Fermat's Little Theorem, the number x = (2p−1 − 1)/p is always an integer if p is an odd prime. For what values of p is x a perfect square?
Compute this series?
Compute the infinite product
[sin(x) cos(x/2)]1/2 · [sin(x/2) cos(x/4)]1/4 · [sin(x/4) cos(x/8)]1/8 · ... ,
where 0 
