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UGC NET Computer Science Paper 2 7Let Pmn be the statement m divides n where the Universe of discourse for both the variables is the set of positive integers Determine the truth values of the following propositions

(a) ∃m ∀n P(m,n) 
(b) ∀n P(1,n) 
(c) ∀m ∀n P(m,n)
 
(A) (a)-True; (b)-True; (c)-False 
(B) (a)-True; (b)-False; (c)-False 
(C) (a)-False; (b)-False; (c)-False 
(D) (a)-True; (b)-True; (c)-True 


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