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.

Q86. Find the total staff in college B.

1. A. 90 (Correct answer)
2. B. 80
3. C. 60
4. D. 65
5. E. 70

Correct Answer

Option A — 90

Detailed Solution & Explanation

The correct answer is 90.

Key Points

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

• Total staff in B = Lab assistants + Professors = 54 + 36 = 90.

Additional Information

• Total staff in C = 82 + 24 = 106, and Professors(C) = LA(C) + 6, so LA(C) = 50 and P(C) = 56.
• LA(B) = LA(C) + 4 = 54; P(A) = LA(B) − 44 = 10; LA(A) = 82 − 10 = 72; P(B) = 102 − P(A) − P(C) = 102 − 10 − 56 = 36.