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Check validity of following statement ...

Check validity of following statement
(i) r : Sky is blue and water is colourless
(ii) s : 102 is multiple of 2 and 51
(iii) t : 2 is even and compositive mnumber

Text Solution

Verified by Experts

(i) Component statements are
p : Sky is Blue . (True)
q : Water is colourless . (True)
Both p and q are true , so compound statement r is true
(ii) Component statements are
p : 102 is multiple of 2. (True)
q : 102 is a multiple of 51. (True)
Both p and q are true , so compound statement r is true
(iii) Component statements are
p : 2 is an even number . (True)
q : 2 is a composite number . (True)
q : 2 is a composite number . (False)
p is true and q is false i.e., both p and q are not true , so compound statement is false
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