Directions : Study the following information carefully to answer the given…
2022
Directions : Study the following information carefully to answer the given questions:
Nine persons - A, B, C, D, E, F, G, H and I live on different floors of nine storey building. Ground floor is numbered as 1st floor and just above the ground floor is numbered as 2nd floor and so on till the topmost floor is numbered as 9th floor. They speak different languages i.e., Marathi, Hindi, Gujrati, Tamil, Malayalam, Telugu, Kannad, Punjabi and Bengali. All the data is not necessarily in the same order.
D speaks Telugu. Three persons live between A and the one who speaks Malayalam. The number of persons live above A is same as the number of persons live below H.A does not speak Kannad. Three persons live between H and the one who speaks Bengali. The number of persons live above G is same as the number of persons live below the one who speaks Bengali. Two persons live between E and the one who speaks Kannad. E does not speak Bengali. The one who speaks Hindi lives just above the one who speaks Gujrati. Neither A nor E speaks Hindi. C lives just below the one who speaks Marathi but lives above the 4th floor. The number of persons live above I is same as the number of persons live below the one who speaks Tamil. F lives above I’s floor. The one who speaks Punjabi doesn’t live on the bottommost floor.
If all the persons are arranged in alphabetical order from top to bottom then the position of how many persons remains unchanged?
- A.
One
- B.
Four
- C.
Two
- D.
Three
- E.
None
Show answer & explanation
Correct answer: C
Concept
This is a single-column floor-arrangement puzzle. The method is to convert every clue into a numeric position relation on floors 1 (bottom) to 9 (top), then chain the fixed relations: "persons above X = persons below Y" becomes posX + posY = 10; "k persons live between X and Y" becomes |posX - posY| = k+1; "P lives just above Q" becomes posP = posQ + 1. You first lock the language grid and person grid into one unique seating, and only then answer the asked sub-question.
Application — building the unique seating
Anchor the symmetric pairs. "Persons above A = persons below H" gives A + H = 10; "above G = below Bengali" gives G + Bengali = 10; "above I = below Tamil" gives I + Tamil = 10.
Place the language ladder. "Hindi just above Gujrati" fixes Hindi = Gujrati + 1; "C just below Marathi, with C above the 4th floor" forces C ≥ 5 and Marathi = C + 1.
Apply the gaps. "Three between A and Malayalam" → |A − Malayalam| = 4; "three between H and Bengali" → |H − Bengali| = 4; "two between E and Kannad" → |E − Kannad| = 3. With D = Telugu, F above I, and Punjabi not on floor 1, only one assignment survives.
The unique arrangement (Floor 9 → 1):
Floor | Person | Language |
|---|---|---|
9 | F | Hindi |
8 | A | Gujrati |
7 | I | Marathi |
6 | C | Bengali |
5 | E | Punjabi |
4 | G | Malayalam |
3 | B | Tamil |
2 | H | Kannad |
1 | D | Telugu |
Answering the sub-question
Re-seat everyone in alphabetical order top-to-bottom: A on floor 9, B on 8, C on 7, D on 6, E on 5, F on 4, G on 3, H on 2, I on 1. Now compare each person's original floor with the alphabetical floor and count only those that coincide.
Person | Original floor | Alphabetical floor | Same? |
|---|---|---|---|
A | 8 | 9 | No |
B | 3 | 8 | No |
C | 6 | 7 | No |
D | 1 | 6 | No |
E | 5 | 5 | Yes |
F | 9 | 4 | No |
G | 4 | 3 | No |
H | 2 | 2 | Yes |
I | 7 | 1 | No |
Cross-check
Exactly the two persons sitting on the mirror-centre floors of the original seating — floor 5 (E) and floor 2 (H) — land back on the same floor after the alphabetical re-seating; every other person moves. So precisely two positions remain unchanged.