There are 900 students in a college, categorized into games A, B, and C. The ratio of students in only A, only B, and only C is 2 : 3 : 5 2 : 3 : 5 2 ...

Question

There are 900 students in a college, categorized into games A, B, and C. The ratio of students in only A, only B, and only C is 2:3:52 : 3 : 5 respectively. The number of students in all three categories is 50% of the number of students in only C. The combined total of students in only B & C but not A and only A & C but not B is 155. The number of students in A & B but not C is 30 less than the number of students in only B.

What is the total number of students who are in at most two categories?

Options

A.

755

B.

765

C.

715

D.

775

E.

735

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