Exercise 3A Write functions to perform the following tasks. Keep your function names the same as in the template file (and as stated at the start of each question). (i) greatestgcd: Takes three integers a, b, c and returns the greatest of gcd(a, b), gcd(b, c), gcd(a, c) (ii) evenodd: Takes an integer and returns True if it is even, and False if odd (note that the function should return the Boolean True, not the string 'True'). (iii) listelements: Takes a list of integers and returns a list containing the first, second, penultimate and last items in the input list (in that order). To avoid an error, your function should return False if the input list is shorter than four items. (iv) double: Takes a list of integers and returns a list whose entries are all double those of the input list (so, if the input is [1, 3, 7], the list [2,6,14] should be returned.) (v) isprime: Takes an integer n and performs trial division to return True if n is prime and False if n is composite.

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Exercise 3A
Write functions to perform the following tasks. Keep your function names the same as in the template file
(and as stated at the start of each question).
(1) greatestgcd: Takes three integers a, b, c and returns the greatest of gcd(a, b), gcd(b, c), gcd(a, c)
(ii) evenodd: Takes an integer and returns True if it is even, and False if odd (note that the function
should return the Boolean True, not the string 'True').
(iii) listelements: Takes a list of integers and returns a list containing the first, second, penultimate and
last items in the input list (in that order). To avoid an error, your function should return False if the input list
is shorter than four items.
(iv) double: Takes a list of integers and returns a list whose entries are all double those of the input list (so,
if the input is [1,3,7], the list [2,6,14] should be returned.)
(v) isprime: Takes an integer n and performs trial division to return True if n is prime and False if n is
composite.
Transcribed Image Text:Exercise 3A Write functions to perform the following tasks. Keep your function names the same as in the template file (and as stated at the start of each question). (1) greatestgcd: Takes three integers a, b, c and returns the greatest of gcd(a, b), gcd(b, c), gcd(a, c) (ii) evenodd: Takes an integer and returns True if it is even, and False if odd (note that the function should return the Boolean True, not the string 'True'). (iii) listelements: Takes a list of integers and returns a list containing the first, second, penultimate and last items in the input list (in that order). To avoid an error, your function should return False if the input list is shorter than four items. (iv) double: Takes a list of integers and returns a list whose entries are all double those of the input list (so, if the input is [1,3,7], the list [2,6,14] should be returned.) (v) isprime: Takes an integer n and performs trial division to return True if n is prime and False if n is composite.
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