Modulo - practice problems - last page

Instructions: Solve each problem carefully and provide a detailed solution for every item.

Number of problems found: 27

Remainders
It is given a set of numbers { 200; 261; 331; 345; 487; 554 }. Divide these numbers by number 80 and determine a set of remainders. As a result, write the sum of these remainders.
Sweets
Mom bought a box of sweets for their children. The whole package of 102 sweets is divided among 3 their children so that each child receives the most and she remains the least sweets. How many sweets are left for Mom?
Clock
How many times a day do hands on a clock overlap?
RWY
Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one-tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
Divisibility
Is the number 728267 exactly divisible by 8? (i.e., does the division give an integer result with zero remainder?)
Date game
Let now is Tuesday. What day is after 229 days? Write the result as a number: 1=Monday, 2=Tuesday, 3=Wednesday, 4=Thursday, 5=Friday, 6=Saturday, 7=Sunday.
Trio
58 children lined up in groups of three. How many children did not create a trio?

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