Daniel J Smith Custom TMUA Set A Paper 2 · Question 1

For each positive integer $n$ , define

E_n=n^4+4

For which one of the following statements is $n=3$ a counterexample?

AFor all positive integers

n

E_n

is divisible by

n^2-2n+2

BFor all positive integers

n

E_n

is divisible by

n^2+2n+2

CFor all positive integers

n

E_n

is not divisible by

17

DFor all positive integers

n

E_n

is not divisible by

3

EFor all positive integers

n

E_n

is divisible by

5

FFor all positive integers

n

E_n

has remainder

1

when divided by

4

examday