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Difficulty: MediumAnalytical Puzzles and Grouping

Four senior researchers—Amir, Bina, Caleb, and Divya—are assigned to four distinct laboratories: Genomics, Robotics, Photonics, and Quantum. Each researcher works in either the Morning shift or the Evening shift, such that exactly two researchers work in the Morning shift and two in the Evening shift. The assignments adhere to the following conditions:

1. Amir works in the Morning shift, but is assigned to neither the Genomics lab nor the Quantum lab.
2. Bina works in the Photonics lab.
3. Caleb works in the Evening shift.
4. The researcher assigned to the Genomics lab works in the Evening shift.
5. The researcher assigned to the Quantum lab works in the Morning shift.

Based on the information above, which of the following statements is definitely true?

  1. A
    Amir is assigned to the Quantum lab on the Morning shift.
  2. B
    Bina works on the Morning shift in the Photonics lab.
  3. Divya is assigned to the Quantum lab on the Morning shift.Answer
  4. D
    Caleb works in the Robotics lab on the Evening shift.

Answer

Divya is assigned to the Quantum lab on the Morning shift.
Through step-by-step logical elimination, the two Morning shift positions are filled by Amir in Robotics and the Quantum researcher. Since Amir, Bina (Photonics), and Caleb (Genomics, Evening) are accounted for, Divya is unambiguously assigned to the Quantum lab on the Morning shift.

Step-by-Step Solution

1
Analyze shift breakdown by lab.
Quantum lab is Morning shift (Condition 5). Genomics lab is Evening shift (Condition 4).
Establishing the shift associated with each laboratory simplifies researcher mapping.
2
Determine Amir's laboratory and shift.
Amir works Morning shift (Condition 1). Since he cannot be in Genomics or Quantum, and Bina is in Photonics (Condition 2), Amir must be in Robotics on the Morning shift.
Amir's morning shift constraint leaves Robotics as his only possible lab.
3
Identify all Morning shift positions.
The two Morning shift slots are filled by Amir (Robotics) and the Quantum researcher.
Exactly two researchers work the Morning shift.
4
Determine shifts for Bina and Caleb.
Since Bina (Photonics) is not in Morning shift, Bina works Evening shift. Caleb works Evening shift (Condition 3). Therefore, Caleb is in Genomics.
Genomics is an Evening shift lab, matching Caleb's Evening shift assignment.
5
Assign the remaining researcher, Divya.
Divya must be assigned to Quantum on the Morning shift.
Divya is the only researcher remaining for the Quantum (Morning) slot.

Key Concept

Analytical Grouping and Multi-Variable Deduction
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Topics

Analytical Puzzles and Grouping

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