GATE | GATE CS 2012 | Question 65

What is the correct translation of the following statement into mathematical logic?

“Some real numbers are rational”

gatecs2012logic
(A) A
(B) B
(C) C
(D) D


Answer: (C)

Explanation:



(A) "There exist some numbers which are either real OR rational"

(B) "All real numbers are rational"

(C) "There exist some numbers which are both real AND rational"

(D) "There exist some numbers for which rational implies real" 
(See Propositional Logic for details)

Clearly answer C is correct among all


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