In a group of 105 students, 70 students passed Mathematics, 60 students passed History and 45 students passed Geography; 30 students passed Mathematics and History, 35 students passed History and Geography, 25 passed Mathematics and Geography, and 15 passed all three subjects.

Draw a Venn diagram to illustrate this information.
Find the number of students who
a) passed at least one subject
b) passed exactly two subject
c) passed Geography and failed Mathematics
d) passed all three subjects given that they passed two
e) failed Mathematics given that they passed History

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