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# Mary says "The number I am thinking is divisible by 2 or it is divisible by 3". This statement is false if the number Mary is thinking of is

$\begin {array} {1 1} (A)\;6 & \quad (B)\;8 \\ (C)\;11 & \quad (D)\;15 \end {array}$

Can you answer this question?

Ans : (C)
This sentence contains the word "or" (disjunction).
A disjunction is only false if BOTH conditions are false.
The only number that is not divisble by 2 and is not divisible by 3 is 11.

answered Jan 18, 2014