DISINI 2008EuclidSolution
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Find a 3-digit integer less than 200 where each digit is odd and the sum of the cubes of the digits is the original number?. The rectangle has dimensions 67
regions are shown (shaded) in the figure.. Find the probability that the product of the three numbers rolled is divisible by 8.. For the first race, Doug lets Jack start 8
second number (odd numbers only) and therefore has 250 terms.. Did you know? The sum of the lengths of two sides of a triangle is always greater than the length of the
Now, if a number from group x is in the new sequence, then no number in group 11 − x is allowed to be in the sequence, otherwise the sum of two numbers in those groups will
We now claim that there is a colouring of the board such that the number of blue- dominated columns plus the number of red-dominated rows is m + n − 2; Colour the first column
So we only need to look at the number of ways of choosing four numbers so that their sum is a multiple of 3 (that is, we do not need to worry about looking at the order of the
In any of these cases, if an even number is placed in the empty space, the row or column will be complete and the sum will be even, giving Emilia a point.. If an odd number is placed
The diagram below shows six distinct positive integers in a ring and the sum of any two neighboring numbers is a perfect square. The below diagram is to be filled with six
