7 Professor 7 Subject Floor Stay Reasoning Puzzle

7 professors teach seven different subjects and live on seven separate floors numbered 1 to 7 with ground floor as 1. Answer five questions from 12 Clues.

7 Professor 7 Subject Floor Stay Reasoning Puzzle (SBI PO)

Description

A building has seven floors numbered one to seven, in such a manner that the ground floor is numbered one, the floor above it, numbered two and so on such that the topmost floor is numbered seven. One of the seven professors, namely, A, B, C, D, E, F, and G lives on each floor, but not necessarily in the same order.

Each one of the professors teaches a different subject among the seven subjects: Maths, Psychology, History, Astronomy, Physics, Innovation and Genetics but not necessarily in the same order.

Clues:

1. Only one person lives between A and the one teaching Maths.
2. F lives immediately below the one teaching Innovation.
3. The one teaching Innovation lives on an even-numbered floor.
4. Only three people live between the ones teaching Maths and Astronomy.
5. Only three people live above the floor on which A lives.
6. E lives immediately above C.
7. E does not teach Astronomy.
8. Only two people live between B and the one teaching Genetics.
9. The one teaching Genetics lives below the floor on which B lives.
10. The one teaching History does not live immediately above B or immediately below B.
11. D does not live immediately above or immediately below A.
12. G does not teach Psychology.

Questions:

Question 1. How many people live between the floors of D and the one teaching Innovation?

1. Three
2. Two
3. One
4. More than 4
5. Four

Question 2. Who lives on the floor immediately above E?

1. The one teaching Innovation
2. The one teaching Psychology
3. The one teaching Physics
4. The one teaching Genetics
5. The one teaching History

Question 3. Which of the following subjects does D teach?

1. Astronomy
2. Psychology
3. Genetics
4. History
5. Maths

Question 4. Four of the following are alike in a certain way and so form a group. Which is the one that does not belong to that group?

1. G
2. F
3. D
4. C
5. A

Question 5. Which of the following is true with respect to G as per the given information?

1. The one who lives immediately below G teaches Innovation
2. G lives on the lowermost floor
3. G lives on floor numbered 6
4. G lives immediately below E
5. G teaches Maths

Hints:

• Design a convenient assignment table with 7 by 2 grid to accommodate 14 unknown values of seven Professor-Subject pairs for 7 floors.
• Evaluate the Clues for identifying first the Clues to place or assign a Professor to a Floor and anchor the grid.
• Use the Clues with Professors or Subjects separated by Floors to resolve exact Floor in which to assign the values.

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Solution to the 7 Professor 7 Subject Floor Stay Reasoning Puzzle (SBI PO)

Showing Placement of Unknown Values to Floors: Assignment Table

The assignment table to show which Professor teaches which subjects and stays on which Floor:

By analyzing the Clues, the name of the Professor and the Subject he teaches will be assigned to the Floor # on which the Professor lives.

Horizontal representation of the abstract form of 7 floors is more convenient for analyzing the assigned values against the Clues for breakthroughs. Floor is the Primary object and Professor and Subject are its properties.

Values of objects:

• Floor: 1 to 7.
• Professor: A, B, C, D, E, F, G.
• Subject: Maths, Psychology, History, Astronomy, Physics, Innovation, Genetics.

Scan the Clues to have the idea of types of Clues and their potentials.

Stage 1: First Assignment by Indirect Positional Hint

Clue 5. Only three people live above the floor on which A lives → A on 4.

Stage 2: Assignments by Horizontal Bond Constraints (of positionally related pair of values of same property) and Link Reference to A

Clue 1. Only one person lives between A and the one teaching Maths.

• Maths/A-Floor-A/Maths → Maths on 2 or 6.

Clue 4. Only three people live between the ones teaching Maths and Astronomy.

• Maths/Astronomy-Floor-Floor-Floor-Astronomy/Maths → Both Maths and Astronomy may occupy either 2 or 6 → Two-position Block of 2 and 6.

Clue 3. The one teaching Innovation lives on an even-numbered floor.

• A/Innovation on 4, the only even-numbered Floor free.

Clue 2. F lives immediately below the one teaching Innovation.

• F on 3.

Stage 3: Critical Breakthrough by Elimination of Floor Positions: Horizontal bonds Constraints

Clue 8. Only two people live between B and the one teaching Genetics.

• B/Genetics-Floor-Floor-Genetics/B → Probables: B on 2, Genetics on 5, B on 6, Genetics on 3.

Clue 9. The one teaching Genetics lives below the floor on which B lives.

• Resolves Floors of B and Genetics → Genetics on 3, the only Floor free below the Floor of B and B on 6.

Clue 6. E lives immediately above C.

• C-E, positions not yet known.

Clue 7. E does not teach Astronomy.

• C-E/not Astronomy → C on 1, E/Maths on 2, B/Astronomy on 6.
• The Horizontal Bond C-E could occupy only 1 and 2 by the constraint of E not teaching Astronomy.

Clue 10. The one teaching History does not live immediately above B or immediately below B → History not adjacent to B.

• History on 1 (Floors 5 and 7 eliminated for History).

Clue 11. D does not live immediately above or immediately below A → D not adjacent to A.

• D on 7 (Floor 5 eliminated for D) → the only unassigned G on only free Floor 5 by default.

Clue 12. G does not teach Psychology.

• D/Psychology on 7 by elimination, G/Physics on 5 by default.

Key Deductions:

1. Clue 5: "Only three above A" → A on Floor 4.
2. Clues 1 + 4: One between A and Maths + Three between Maths and Astronomy → Two-position Block: Maths (Floor 2 or 6), Astronomy (Floor 6 or 2).
3. Clues 3 + 2: Innovation on even floor → A teaches Innovation (Floor 4) → F on Floor 3 (below Innovation).
4. Clues 8 + 9: Two between B and Genetics + Genetics below B → Genetics on 3 (F), B on 6.
5. Clues 6 + 7: E above C, E ≠ Astronomy → C on 1, E on 2 (Maths), Astronomy on 6 (B).
6. Clue 10: History not adjacent to B → History on 1 (C).
7. Clue 11: D not adjacent to A → D on 7, G on 5, the only one free.
8. Clue 12: G ≠ Psychology → Psychology on 7 (D), Physics on 5 (G), the only Subject and Professor remaining.

Answers

1. Q1. Option 2: Two (D on 7, Innovation on 4 → Floors 5,6 in between).
2. Q2. Option 4: The one teaching Genetics (F on 3, E on 2 → F is above E teaching Genetics).
3. Q3. Option 2: Psychology (D teaches Psychology).
4. Q4. Option 5: A (only even-floor professor in options).
5. Q5. Option 1: The one who lives immediately below G teaches Innovation (G on 5, A/Innovation on 4 → A is immediately below G teaching Innovation).

Comments

The important strategies and use patterns inherent in the Clues that ensured a seamless efficient solutions:

• Anchor First Assignment: Indirect logic analysis of Clue 5: A on 4.
• Two-position Block: Horizontal Bonds in Clues 1 + 4: Maths/Astronomy blocking 2 and 6.
• Elimination by Value Conflict: Even numbered Floor condition for Innovation in Clue 3 forced elimination of Floors 2 and 6 by Two-position Block: A/Innovation on 4.
• Horizontal Bond critical breakthrough: Clues 8 + 9: Genetics on 3, B on 6.
• Breakthrough by Horizontal Bond positional constraint: Clues 6 + 7: C-E/not Astronomy → C on 1, E/Maths on 2, B/Astronomy on 6.

The medium hard Floor stay reasoning puzzle is from an SBI PO recruitment exam for selecting quick and young minds.

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Terse Clue Roadmap for Quick Reference:

1. Anchor A on Floor 4 (Clue 5).
2. Maths on 2 or 6, Astronomy on 6 or 2 (Clues 1 + 4).
3. A teaches Innovation on 4 (Clue 3) → F on 3 (Clue 2).
4. Genetics on 3 (F), B on 6 (Clues 8 + 9).
5. C on 1, E/Maths on 2 (Clues 6 + 7), B/Astronomy on 6.
6. History on 1 (C) (Clue 10).
7. D on 7, G on 5 (Clue 11).
8. D/Psychology on 7, G/Physics on 5 (Clue 12).

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