Axioms are assumed

Euclid belongs to the country:

Which of the following statements are true and which are false? Give reasons for your answers.
$(i)$ Only one line can pass through a single point.
$(ii)$ There are an infinite number of lines which pass through two distinct points.
$(iii)$ $A$ terminated line can be produced indefinitely on both the sides.
$(iv)$ If two circles are equal,then their radii are equal.
$(v)$ In the figure,if $AB = PQ$ and $PQ = XY,$ then $AB = XY$.

One dimension in each step in the sequence of solids $-$ surfaces $-$ lines $-$ points is........ going on.

Solve the equation $a-15=25$ and state which axiom do you use here.

The number of dimensions a solid has is: