tmua 2020 Q4

tmua · Uk · paper2 1 marks Proof True/False Justification

Consider the following statement: Every positive integer $N$ that is greater than 6 can be written as the sum of two non-prime integers that are greater than 1 .
Which of the following is/are counterexample(s) to this statement? I $\quad N = 5$ II $\quad N = 7$ III $N = 9$
A none of them
B I only
C II only
D III only
E I and II only F I and III only G II and III only H I, II and III

..... 6

Consider the following statement:\\
Every positive integer $N$ that is greater than 6 can be written as the sum of two non-prime integers that are greater than 1 .

Which of the following is/are counterexample(s) to this statement?\\
I $\quad N = 5$\\
II $\quad N = 7$\\
III $N = 9$

A none of them\\
B I only\\
C II only\\
D III only\\
E I and II only\\
F I and III only\\
G II and III only\\
H I, II and III

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20