Directions (86–90) The data below is about the staff — lab assistants and professors — in three colleges A, B and C.

Question

Directions (86–90):

The data below is about the staff — lab assistants and professors — in three colleges A, B and C.

College A: total staff (lab assistants + professors) = 82.

College B: total lab assistants = 4 more than the lab assistants in C.

College C: total lab assistants = 6 less than the professors.

Total professors in A = 44 less than the lab assistants in B.

Total staff in C = 24 more than the total staff in A.

Total professors across all three colleges = 102.

Q87. Find the ratio of total professors in B to total lab assistants in A.

1. A. 6:1
2. B. 6:7
3. C. 6:5
4. D. 1:2 (Correct answer)
5. E. 3:1

Correct Answer

Option D — 1:2

Detailed Solution & Explanation

The correct answer is 1 : 2.

Key Points

• Solving the given conditions gives the staff of each college:

• Total professors in B = 36; total lab assistants in A = 72.
• Ratio = 36 : 72 = 1 : 2 (dividing both by 36).