examday

tmua.me papers

tmua.me Tau Paper 1 · Q8

Paper 1Functions & graphsNumber & counting

A function ff maps the integers to the integers and satisfies

f(f(f(n)))=n+18,f(n+12)=f(n)+12f(f(f(n)))=n+18,\qquad f(n+12)=f(n)+12

for every integer nn. In addition,

f(0),f(1),f(2),f(3),f(4),f(5)>0.f(0),f(1),f(2),f(3),f(4),f(5)>0.

How many different functions ff satisfy all these conditions?

A51215121
B16811681
C27212721
D27202720
E44014401

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →