Question

Identify the type of “Or” used in the following statements and check
whether the statements are true or false:
(i)
2
is a rational number or an irrational number.
(ii) To
enter into a public library children need an identity card from the school
or a letter from the school authorities.
(iii) A
rectangle is a quadrilateral or a 5-sided polygon.

Answer 1

for (i), a number cannot both be rational and irrational, so it should be XOR
for (ii), I'm on a hunch, but I'm thinking it is possible to have an identity card and a letter from the school authorities, so it's just OR
for (iii), quadrilateral or 5-sided polygon? only one of these can be true, so XOR

Answer 2

LAST ANSWER

Here “Or” is exclusive. When we look at the component statements, we get that
the statement is true.

is it ok ?

Answer 3

Last answer (iii) ?
Yes, the "or" is exclusive. Also, the statement is true because one of the components (and only one!) is true
<that a rectangle is a quadrilateral>

So yes.