Read the given data carefully and answer the questions. There are 900 students…
2022
Read the given data carefully and answer the questions. There are 900 students in a college and they are either from one or more categories i.e. A, B and C games. The ratio of total students in only A, only B and only C is 2 : 3 : 5 respectively. Total students in all three categories are 50% of total students in only C. The sum of total students who are in only B & C but not A and total students who are in only A & C but not B is 155. Total number of students who are in A & B but not C are 30 less than total number of students who are in only B.
Find the difference between total students in all three categories and the number of students in category A.
- A.
40
- B.
Cannot be determined
- C.
50
- D.
55
- E.
32
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Let only A, only B, and only C be 2x, 3x, and 5x. Students in all three categories are 50% of only C, so they are 2.5x. Also, A and B only is 30 less than only B, so it is 3x - 30. The sum of B and C only and A and C only is 155, but their individual values are not given. Therefore the total in category A depends on the unknown A and C only value, so the difference cannot be determined.