Directions: Read the following information carefully and answer the question given below.
Seven project managers—J, K, L, M, N, P, and Q—sit in a single row facing north. Each manager oversees a different domain: Edtech, Cleantech, Fintech, Biotech, Robotics, Agritech, and Aerospace, though not necessarily in that order.
The manager overseeing Biotech sits fourth from the left end of the row. M oversees Biotech. Two managers sit between M and J, with J sitting to the left of M. J oversees Edtech. The manager overseeing Cleantech sits to the immediate right of J. K sits to the immediate left of L, who oversees Fintech. Q sits at the extreme right end of the row and oversees Aerospace. The manager overseeing Robotics sits second to the left of Q. N sits somewhere to the right of P.
How many managers sit to the left of the manager overseeing Agritech?
Correct Answer :
Two
Five
Solution :
The correct answer is Five (or Two, depending on the arrangement case).
Let us determine the positions of the seven project managers (J, K, L, M, N, P, and Q) and their corresponding domains across seven seats numbered 1 to 7 from left to right, facing north:
Positions: 1 | 2 | 3 | 4 | 5 | 6 | 7
Step 1: Direct Placements from Clues
1. "The manager overseeing Biotech sits fourth from the left end of the row. M oversees Biotech."
Position 4 = M (Biotech)
2. "Two managers sit between M and J, with J sitting to the left of M. J oversees Edtech."
Since M is at Position 4, J must be at Position 1.
Position 1 = J (Edtech)
3. "The manager overseeing Cleantech sits to the immediate right of J."
Position 2 = Cleantech
4. "Q sits at the extreme right end of the row and oversees Aerospace."
Position 7 = Q (Aerospace)
5. "The manager overseeing Robotics sits second to the left of Q."
Position 5 = Robotics
Current state of seating:
• Position 1: J (Edtech)
• Position 2: [Empty Manager] (Cleantech)
• Position 3: [Empty Manager] [Unassigned Domain]
• Position 4: M (Biotech)
• Position 5: [Empty Manager] (Robotics)
• Position 6: [Empty Manager] [Unassigned Domain]
• Position 7: Q (Aerospace)
Step 2: Placing K and L (Fintech)
Clue: "K sits to the immediate left of L, who oversees Fintech."
This requires two adjacent seats for [K, L], with L overseeing Fintech. There are two valid pairs of adjacent seats available:
Case 1: Placing K at Position 2 and L at Position 3
• Position 2 = K (Cleantech)
• Position 3 = L (Fintech)
• Remaining domain for Position 6 = Agritech
• Remaining managers for Positions 5 and 6: P and N.
Clue: "N sits somewhere to the right of P."
Thus, P sits at Position 5 (Robotics) and N sits at Position 6 (Agritech).
Final Seating for Case 1:
1: J (Edtech) | 2: K (Cleantech) | 3: L (Fintech) | 4: M (Biotech) | 5: P (Robotics) | 6: N (Agritech) | 7: Q (Aerospace)
In Case 1, the manager overseeing Agritech is at Position 6. The number of managers sitting to the left of Agritech is:
So, Five managers sit to the left of Agritech.
Case 2: Placing K at Position 5 and L at Position 6
• Position 5 = K (Robotics)
• Position 6 = L (Fintech)
• Remaining domain for Position 3 = Agritech
• Remaining managers for Positions 2 and 3: P and N.
Since N sits to the right of P, P sits at Position 2 (Cleantech) and N sits at Position 3 (Agritech).
Final Seating for Case 2:
1: J (Edtech) | 2: P (Cleantech) | 3: N (Agritech) | 4: M (Biotech) | 5: K (Robotics) | 6: L (Fintech) | 7: Q (Aerospace)
In Case 2, the manager overseeing Agritech is at Position 3. The number of managers sitting to the left of Agritech is:
So, Two managers sit to the left of Agritech.
Thus, depending on the seating arrangement, either Five or Two managers sit to the left of the manager overseeing Agritech.
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