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Exercise 19

The following function returns a list of the remainders of dividing the numbers in numbers by 5:

def remainders_5(numbers):
    return [number % 5 for number in numbers]

Use this function to determine which of the following lists do not contain any numbers that are divisible by 5:

numbers_1 = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
numbers_2 = [1, 2, 3, 4, 6, 7, 8, 9]
numbers_3 = [0, 5, 10]
numbers_4 = []

Note: when working with integers, a value of 0 is "falsy"; all other integers are "truthy".

Solution

print(all(remainders_5(numbers_1)))     # False
print(all(remainders_5(numbers_2)))     # True
print(all(remainders_5(numbers_3)))     # False
print(all(remainders_5(numbers_4)))     # True

remainders_5 is similar to remainders_3 in the previous exercise in that it returns a list of integers. In this list, a value of 0 means the corresponding number is divisible by 5, while a non-zero value means the number is not divisible by 5. Since 0 is falsy and the other integers are truthy, we can use all to determine whether all of the numbers are not divisible by 5.

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