Question

State whether the "Or" used in the following statements is "exclusive "or" inclusive. Give reasons for your answer. (i) Sun rises or Moon sets. (ii) To apply for a driving licence, you should have a ration card or a passport. (iii) All integers are positive or negative.

Answer 1

Given : (i) Sun rises or Moon sets. (ii) To apply for a driving licence, you should have a ration card or a passport. (iii) All integers are positive or negative.

To find : State whether the "Or" used in the following statements is "exclusive "or" inclusive

Solution:

Inclusive OR allows both possibilities as well as either of them

Exclusive OR only allows one possibility

(i) Sun rises or Moon sets.

This is inclusive

Sun can rise in morning , moon can set in morning also both can happen in morning

(ii) To apply for a driving licence, you should have a ration card or a passport.

This is inclusive

as you can have ration card , or passport  or both to apply

(iii) All integers are positive or negative.

This is exclusive

as Either integers can be + ve  or - ve   ( not both together)

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