tmua 2021 Q4

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

Consider the following claim about positive integers $a , b$ and $c$ : if $a$ is a factor of $b c$, then $a$ is a factor of $b$ or $a$ is a factor of $c$
Which of the following provide(s) a counterexample to this claim? I $a = 5 , b = 10 , c = 20$ II $\quad a = 8 , b = 4 , c = 4$ III $a = 6 , b = 7 , c = 12$
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 claim about positive integers $a , b$ and $c$ :\\
if $a$ is a factor of $b c$, then $a$ is a factor of $b$ or $a$ is a factor of $c$

Which of the following provide(s) a counterexample to this claim?\\
I $a = 5 , b = 10 , c = 20$\\
II $\quad a = 8 , b = 4 , c = 4$\\
III $a = 6 , b = 7 , c = 12$

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