Explanation for the Analytical Reasoning Quiz 02

This is the detailed explanation for the Analytical Reasoning Quiz 02 .

Deducing the Office Arrangement

The goal is to place six employees (Mrs. Ruby, Mr. Mujahid, Mr. Zahid, Mrs. Fauzia, Mr. Abid, and Mr. Shahid) in six offices (A through F) based on the given constraints.

1. Mrs. Fauzia’s Office: Mrs. Fauzia (Fauzia) must be in office E. This is a fixed position.
2. Mujahid and Zahid: Mr. Mujahid (Mujahid) and Mr. Zahid (Zahid) need adjacent offices. This means they will occupy a block like (A,B), (B,C), (C,D), or (D,E), or (E,F). Let’s call this the (M, Z) block.
3. Mr. Abid’s Office: Mr. Abid (Abid) requires silence in the offices next to his. This means his neighbors must be silent, and the staff members are generally silent unless specified otherwise. We know Mrs. Ruby (Ruby) uses the phone often.
4. Mrs. Fauzia’s Neighbors: Mrs. Fauzia requires non-smoker neighbors. The smokers are Mujahid, Abid, and Shahid. This is a critical constraint. Since Fauzia is in office E, her neighbors are in offices D and F. Therefore, the occupants of offices D and F must be non-smokers.
5. Placement of Smokers: The three smokers (Mujahid, Abid, and Shahid) cannot be in offices D and F. They must occupy a combination of offices A, B, C, and E.
6. Combining Constraints:
   • We know the (M, Z) block must be adjacent.
   • We know Mujahid is a smoker.
   • The neighbors of office E (Fauzia’s office) must be non-smokers. Offices D and F must contain non-smokers.
   • Since Mujahid is a smoker, he cannot be in office D or F.
   • Therefore, the (M, Z) block cannot be (C, D), (D, E), (E, F), or (F, G). The only remaining adjacent office options for the (M, Z) block are (A, B) or (B, C).
   • We know Abid is a smoker. He cannot be in office D or F.
   • Let’s consider the possible arrangements for the smokers (M, A, S).
   • If the (M, Z) block is (A, B), then Mujahid is in A or B. Since Mujahid is a smoker, his office is either A or B. The remaining smokers, Abid and Shahid, must occupy the other available offices (C and D or C and F). This doesn’t seem to work, as Abid cannot be next to Ruby, and Ruby needs to be somewhere. Let’s start with the smokers and non-smokers first.

Let’s restart the deduction with a more logical flow:

• Fauzia (non-smoker) is in E.
• Neighbors of E (offices D and F) must be non-smokers.
• Non-smokers: Ruby, Zahid, Fauzia.
• Smokers: Mujahid, Abid, Shahid.
• Offices D and F must contain non-smokers. This leaves Ruby and Zahid as candidates for D and F.
• Mujahid and Zahid are adjacent. The only way this works is if Zahid is in either D or F, and Mujahid (a smoker) is in a non-D/F office next to him.
  • If Zahid is in D, then Mujahid must be in C or E. Mujahid can’t be in E (Fauzia is there). So, Mujahid must be in C. This gives us the block C(Mujahid)-D(Zahid).
  • If Zahid is in F, then Mujahid must be in E or G. Mujahid can’t be in E (Fauzia is there), and there is no G. So, Zahid must be in D.
• Conclusion: The arrangement C(Mujahid)-D(Zahid) is confirmed.
• Fauzia is in E.
• The remaining people are Ruby, Abid, and Shahid.
• The remaining offices are A, B, and F.
• The non-smoker Ruby must go into an office. She cannot be in office F, as F must be a non-smoker, but then where would Abid and Shahid go? Let’s check the non-smoker rule again. Offices D and F are non-smokers. Zahid is a non-smoker, so he is in D. Ruby is a non-smoker, so she is in F.
• Final Deduction:
  • E: Fauzia (non-smoker)
  • D: Zahid (non-smoker)
  • F: Ruby (non-smoker)
• The remaining offices are A, B, and C. The remaining people are the three smokers: Abid, Mujahid, and Shahid.
• We already confirmed Mujahid is in C.
• The remaining two smokers, Abid and Shahid, must occupy offices A and B.
• There’s one more constraint: Abid requires silence in the offices next to his. The only person who is not silent is Mrs. Ruby. She is in office F. If Abid is in office A or B, his neighbors are B/C or A/C. Ruby is not next to him. This condition doesn’t provide a unique position for Abid between A and B, but it doesn’t contradict the placement.

The final, confirmed arrangement is:

• A: Shahid or Abid
• B: Shahid or Abid
• C: Mujahid
• D: Zahid
• E: Fauzia
• F: Ruby

Answering the Questions

1. The ideal candidate to occupy the office farthest from Mr. Zahid would be:
   • Mr. Zahid is in office D.
   • The offices are A-B-C-D-E-F.
   • The office farthest from D is A.
   • The occupants of office A could be either Mr. Abid or Mr. Shahid.
   • The option lists Mr. Abid. Therefore, the ideal candidate would be Mr. Abid.
2. The three employees who are smokers should be seated in the offices:
   • We confirmed the smokers are Mr. Mujahid, Mr. Shahid, and Mr. Abid.
   • Mr. Mujahid is in office C.
   • Mr. Shahid and Mr. Abid are in offices A and B.
   • The offices occupied by the smokers are A, B, and C.
   • Therefore, the smokers are seated in offices A, B and C.
3. The ideal office for Mr. Mujahid would be:
   • From our deduction, Mr. Mujahid must be in office C to satisfy the adjacent office requirement with Mr. Zahid, while also adhering to Mrs. Fauzia’s non-smoker neighbor rule.
   • The ideal office for Mr. Mujahid is C.