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For each of the following statements, determine whether an inclusive 'or' or exclusive 'or' is used. Give reasons for your anser. (i) For identification you need a passport or an Adhar Card. (ii) The school is closed if it is a holiday or a Sunday. (iii) sqrt(3) is a rational number or an irrational number. (iv) Two lines intersect at a point or are parallel. (v) Students can take Sanskrit or French as their third language. |
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Answer» Solution :(i) Here 'or' is inclusive since a person can have both a PASSPORT and an Adhar Card of identification. (ii) Here 'or' is inclusive since the SCHOOL is closed on holiday as well as on Sunday. (III) LET p: `sqrt(3)` is a rational number And q: `sqrt(3)` is an irrational number Clearly, p is false and q is true. `therefore` (p or q) is true and 'or' is EXCLUSIVE. (iv) Here 'or' is exclusive because it is not possible for two lines to intersect and be parallel together. (v) Here 'or' is exclusive because a student cannot take both Sanskrit and French. |
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