NTSE Stage 2 MAT 2014 Question Paper

In the following diagram, there are four inter locked figure of a circle, a square, a triangle and a rectangle representing number of students passing in English, Maths, Science and Hindi, respectively. Different regions of the diagrams are also lettered from A through Q.

Now consider the following statements :
Statements :
I. There is no letter that represents a student who passed in all the four subjects
II. There are only two letters that represents a student who passed on three subject only
Which of the above statements is/are correct ?