# Modulo - examples

1. Divisibility
Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
2. Clock
How many times a day hands on a clock overlap?
3. Trio
56 children lined up in groups of three. How many children did not create a trio?
4. Remainders
It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
5. Christmas
Exactly after 114 hours we sit down to Christmas Eve table. What day and what time it was when Dad said this sentence. The Christmas Eve table they sit down exactly on the 18-o'clock (6 PM).
6. 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.
7. Grandmother's clocks
Grandmother's clock is late every hour by half a minute. Grandmother it by set exactly at 8.00 am. How many hours will show after 24 hours.?
8. Date game
Let now is Wednesday. What day is after 248 days? Write the result as a number: 1=Monday, 2=Tuesday, 3=Wednesday, 4=Thursday, 5=Friday, 6=Saturday, 7=Sunday?
9. Sweets
Mom bought box of sweets for their children.Whole package of 100 sweets divided among 4 their children so that each child receives the most and for she remains the least sweets. How many sweets left for mom.
10. Big number
hat is the remainder when dividing number 10 to 47 - 111 by number 9?
11. Modulo
Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
12. Christmas
Father said: "exactly after 56 hours we will sit down to Christmas Eve table" How was and what time it was when Father said this sentence? The Christmas Eve table they sit down at exactly 6 PM hour.

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