Highlights
Task
Number System, Decimals and Fractions
1. What are the last two digits of the number 745? 2. How many pairs (a,b) of positive integers are there such that a ? b and ab = 42017? 3. If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is 4. N is an 80-digit positive integer (in the decimal scale). All digits except the 44th digit (from the left) are 2. If N is divisible by 13, find the 44th digit? 5.The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157 : 3, then the sum of the two numbers is?
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