Given below are two statements :

Statement I: If 'some students are intelligent' is true, then 'some students are not intelligent' is also true.
Statement II: If 'all logicians are mathematician' is true, then 'some non-mathematicians are not logicians' will be true.
In the light of the above statements, choose the correct answer from the options given below.

Statement I is false because some students are intelligent implies two cases: 1. all the students are intelligent. 2. some students are not intelligent.

Any of these can be correct. Hence, statement 1 is also false.

Statement II is true since all the logicians are mathematicians, which implies that all the non-mathematicians can't be logicians, which implies some non-mathematicians are not logicians.

The correct option is D.