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ABHYAS PREP: REASONING PUZZLES · FLOOR PUZZLES

Floor puzzles (one person per floor)

Draw the floors from the bottom (1) to the top. Place top, bottom and fixed-floor clues first, then the “immediately above” and gap clues, and keep every branch until a clue removes it.

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Worked examples

Example 1 · level 1

5 friends (Tenzin, Rohan, Ayaan, Joseph, Harpreet) live in a 5-storey building in Ranchi, one on each floor. The bottom floor is floor 1 and the top floor is floor 5. • Tenzin lives somewhere above Rohan. • Joseph and Rohan do not live on adjacent floors. • Joseph lives immediately above Tenzin. • Ayaan lives on an odd-numbered floor. • Harpreet lives immediately above Rohan. • Joseph lives on floor 5. • Exactly one person lives between Rohan and Tenzin. On which floor does Joseph live?

  1. 1
  2. 2
  3. 4
  4. 5
Show solution
  1. The clues leave exactly one arrangement (floor 1 → 5): Ayaan, Rohan, Harpreet, Tenzin, Joseph.
  2. On which floor does Joseph live? → 5.

Answer: 5

Example 2 · level 2

6 friends (Diya, Fatima, Kabir, Joseph, Saanvi, Ananya) live in a 6-storey building in Patna, one on each floor. The bottom floor is floor 1 and the top floor is floor 6. • Ananya lives neither on the top floor nor on the bottom floor. • Exactly 3 people live between Fatima and Diya. • Ananya lives on an even-numbered floor. • Joseph lives somewhere above Diya. • Saanvi lives immediately above Diya. • Exactly 3 people live between Saanvi and Kabir. How many people live between Kabir and Ananya?

  1. 1
  2. 2
  3. 3
  4. 4
Show solution
  1. The clues leave exactly one arrangement (floor 1 → 6): Diya, Saanvi, Joseph, Ananya, Fatima, Kabir.
  2. How many people live between Kabir and Ananya? → 1.

Answer: 1

Example 3 · level 3

7 friends (Ananya, Vihaan, Ayaan, Diya, Arjun, Kabir, Tenzin) live in a 7-storey building in Surat, one on each floor. The bottom floor is floor 1 and the top floor is floor 7. • Exactly 2 people live between Ananya and Vihaan. • Arjun lives immediately above Tenzin. • Diya lives on the top floor. • Vihaan lives exactly two floors above Tenzin. • Exactly 2 people live between Tenzin and Ayaan. • Ayaan lives immediately above Vihaan. • Exactly 3 people live between Tenzin and Kabir. • Exactly 2 people live between Diya and Ayaan. How many people live between Diya and Kabir?

  1. 1
  2. 2
  3. 3
  4. 4
Show solution
  1. The clues leave exactly one arrangement (floor 1 → 7): Tenzin, Arjun, Vihaan, Ayaan, Kabir, Ananya, Diya.
  2. How many people live between Diya and Kabir? → 1.

Answer: 1

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