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In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (iii) How many took exactly one of the three subjects.

In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (ii) How many took Maths but not Chemistry.

Among 60 students, 12 like only algebra, 13 like only geometry, 10 like only trigonometry, 5 like both algebra and trigonometry, 8 like only physics, 5 like both physics and geometry and the remaining like both algebra and physics. How many students like more than one subject?

These questions are based on the following diagram: In the above figure, the Triangle represents the students who passed in Physics, the Rectangle represents the students who passed in Chemistry and the Circle represents the students who passed in Mathematics in a class. How many students passed in Mathematics only ? 1)3 2) 5 3) 4 4) 11 5)23