D.K. Ramesh Kumar and C. V. Jayanna Solutions for Chapter: Elements of Number Theory and Congruence, Exercise 1: Exercise 1

If $a$ and $b$ are two numbers such that $\frac{a}{b}$ and $\frac{b}{a}$ then

If $a, b, c$ are three integers such that $a|bc$ and $(a, b) = 1$ then,

If $a, b, c$ are integers such that $(ab,c)=1$ and $(a,c)=1$ then $(b,c)$ is

If $a,b,x,y$ are integers such that $ax+by=1$then $(a,b)=$

Which one of the following statements is true?

If $(a, 4)=2, (b, 4)=2$ then $(a+b, 4)=$

If$(a,b)=1$ then $(a+b,a-b)=$

If $-14\equiv 6(\mathrm{mod} x)$ then $x=$?