DISINI 2005PascalSolution
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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
We see that the units digit of 2 A + 2 (the two digits plus the carry) must equal 8.. Suppose that Anna guesses “cat” c times and guesses “dog” d times. 95 d are
The turtle begins in a corner square of the grid and enters each square exactly once, ending in the square where she started.. In terms of n, what is the largest positive integer k
The digits 1, 2, 3, 4 can be arranged to form twenty-four different four digit numbers. The number of zeros at the end of the resulting
(a) The largest possible difference comes when one of Amelie and Bob chooses the slips with the three largest numbers and the other choose the slips with the three smallest
For each choice of a tens digit, choosing the ones digit to be equal to that tens digit gives the only number that is a multiple of 11.. That is, for each possible choice of a
(For example, the digits 4 and 1 can be arranged as 4 1 or 1 4.) We then place the leftmost digit in such an arrangement as the leftmost digit of the n -digit integer (which must
When two integers are multiplied together, the final two digits (the tens digit and the units digits) of the product are determined by the final two digits of each of the two
