Q.State whether the “Or” used in the following statements is “exclusive” or “inclusive”. Give reasons for your answer.

The word "Or" is used in two distinct senses in ordinary English, and mathematics needs both distinguished before a compound "Or" statement can be evaluated. Exclusive "Or" permits exactly one of the two alternatives, never both together — as in "an ice cream or a pepsi is available with a Thali", where a person chooses one, not both. Inclusive "Or" permits either alternative, or both together — as in "a student who has taken biology or chemistry can apply for the M.Sc. microbiology programme", which clearly also admits a student who took both subjects. Whichever sense is intended, the truth rule for a compound "Or" statement is the same: it is true whenever at least one component statemen …