CMAT Set Theory questions

Given below is the diagram which represents various sports played by the students. Based on the diagram find the number of girls who neither play hockey nor football

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.

If 'All sweet things are fluids' and 'Some fluids are coloured things', then it implies -
A. Some sweet things are coloured things
B. Some sweet things are fluids
C. All fluids are sweet things
D. Some fluids are sweet things
Choose the most appropriate answer from the options given below:

Out of 400 students who attended a seminar, 240 opted for written exam, 200 opted for presentations, 160 opted for assignments and 20 did not opt for giving any of the three methods of test. 200 students had exactly one of the three methods of test.

How many students opted for exactly two of the three testing methods?