DISINI 2015CTMCSoln
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Since the sum of the digits does not depend on the order of the digits, then rearranging the digits of a positive integer that is divisible by 3 produces another positive integer
Part marks will be awarded only if relevant work is shown in the space provided in the answer booklet.. Let A, B and C be non-zero digits, so that BC is a two-digit positive
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
The smallest possible height of the pyramid will occur when the four side faces are just touching the circumference of the end faces of the cylinder.. To see this, consider
To get the largest possible number by using the digits 1, 2, 5, 6, and 9 exactly once, we must choose the largest digit to be the first digit, the next largest for the next digit,
Since the digits in the decimal expansion repeat with period 6, then the integer consists of 16 copies of the digits 714285 followed by 714... This is 69 digits
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
A nine-digit number contains each of the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 exactly once, and every two adjacent digits of this nine-digit number form a two-digit number which is
