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Worked Examples · Example 7

Q.For each of the following statements, determine whether an inclusive “Or” or exclusive “Or” is used. Give reasons for your answer.

(i) To enter a country, you need a passport or a voter registration card.
(ii) The school is closed if it is a holiday or a Sunday.
(iii) Two lines intersect at a point or are parallel.
(iv) Students can take French or Sanskrit as their third language.
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✓ Free question

The "or" in a statement is inclusive when both possibilities can occur simultaneously, and exclusive when at most one of the possibilities can occur.

  1. "To enter a country, you need a passport or a voter registration card." A traveller may possess both documents — having both does not disqualify entry. So this Or is inclusive.
  2. "The school is closed if it is a holiday or a Sunday." A Sunday is itself often already a holiday, so both conditions can hold together on the same day without contradiction. So this Or is inclusive.
  3. "Two lines intersect at a point or are parallel." Two distinct lines in a plane cannot both intersect at a point and be parallel at the same time — these are mutually exclusive geometric possibilities. So this Or is exclusive.
  4. "Students can take French or Sanskrit as their third language." A student is normally permitted to choose exactly one third language, not both simultaneously. So this Or is exclusive.
    ✓Final answer

    (i) Inclusive (ii) Inclusive (iii) Exclusive (iv) Exclusive.

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