tmua.fyi Mock Paper 2 · Question 17

Community mocks

tmua.fyi Mock Paper 2 · Q17

Paper 2Logic & proofNumber & counting

Which of the following statements are true?

I: no integer of the form $4k+3$ is the sum of two perfect squares.

II: the product of two integers, each of the form $4k+1$ , is again of the form $4k+1$ .

III: every prime number is of the form $4k+1$ or $4k+3$ .

Anone of them

BI only

CII only

DIII only

EI and II only

FI and III only

GII and III only

HI, II and III

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