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.

Q90. Find the average of total lab assistants in A and C.

1. A. 61 (Correct answer)
2. B. 62
3. C. 63
4. D. 64
5. E. 65

Correct Answer

Option A — 61

Detailed Solution & Explanation

The correct answer is 61.

Key Points

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

• Lab assistants in A = 72; lab assistants in C = 50.
• Average = (72 + 50) / 2 = 122 / 2 = 61.