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Identify the type of Or used in the following statements and cheek whether the statements are true or false:(i) `sqrt(2)`is a rational number or an irrational number.(ii) To enter into a public library children need an identity card from the school authorities.(iii) A rectangle is a quadrilateral or a 5-sided polygon. |
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Answer» (i)`sqrt2`is a rational number or an irrational number. a)`sqrt2`is a rational number.` -> False` b) `sqrt2`is an irrational number.` -> True` Out of these two statements, only one statement can be true. So, type of this statement is `Exclusive` `OR`. As, one of the statement is true, so this statement is true. (ii) To enter into a public library children need an identity card from the school or a letter from school authorities. a) To enter into a public library children need an identity card from the school. b) To enter into a public library children need a letter from school authorities. Both of these satatements can be true. So, type of this statement is `Inclusive` `OR`. Also, both of these statements are false as to enter into a public library children do not need any permission from school. (iii) A rectangle is a quadrilateral or a 5-sided polygon. a)A rectangle is a quadrilateral. `->True`. b)A rectangle is a 5-sided polygon.`-> False` Out of these two statements, only one statement can be true. So, type of this statement is `Exclusive` `OR`. As, one of the statement is true, so this statement is true. |
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