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In which of the following statements is the OR inclusive?

$\begin {array} {1 1} (A)\;The\: sum\: of\: any\: 2 \: natural \: numbers \: is \: even\: or\: odd. \\ (B)\;Students\: can\: take\: science\: or\: arts\: as\: their\: combination. \\ (C)\;Sun\: rises\: or\: moon\: sets. \\ (D)\;\sqrt 7\: (square\:  root\:  of\:  7)\:  is\:  rational\:  or\:  irrational. \end {array}$

 

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Ans : (D)
A- This is called exclusive ‘or’ because it is not possible for sum of 2
natural numbers to be both even and odd.
B- This is called exclusive ‘or’ because a student cannot take both
arts and science combination at a time.
C- This is called exclusive ‘or’ because only one action takes place at time.
D- This is inclusive ‘or’ since $ \sqrt 7$ is irrational.

 

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