There are 900 students in a college, each belonging to one or more of the categories A, B, and C games. The ratio of students in only A, only B, and o...
Question
There are 900 students in a college, each belonging to one or more of the categories A, B, and C games. The ratio of students in only A, only B, and only C is 2 : 3 : 5 respectively. The number of students in all three categories is 50% of the number of students in only C. The sum of students who are in only B & C but not A and those who are in 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 belong to only one category?