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.
How many persons live below the one who lives just above G?
- A.
Three
- B.
Four
- C.
Two
- D.
One
- E.
More than four
Show answer & explanation
Correct answer: B
Concept
In a linear floor-arrangement puzzle, a clue of the form “the number of persons above X equals the number of persons below Y” translates to the equation (9 − floor of X) = (floor of Y − 1), i.e. floor(X) + floor(Y) = 10. A clue “n persons live between X and Y” means |floor(X) − floor(Y)| = n + 1. Place the most constrained items first, then chain the remaining clues until a single consistent arrangement survives.
Application
Above A equals below H gives floor(A) + floor(H) = 10, so A and H are mirror floors about the middle. Because the Marathi speaker sits just above C and C is above the 4th floor, C cannot be on floor 9; testing the mirror pairs, only A on floor 8 with H on floor 2 leaves room for C with a floor above it and for F above I, so A = 8 and H = 2.
Above G equals below the Bengali speaker gives floor(G) + floor(Bengali) = 10, and three persons live between H (floor 2) and the Bengali speaker, so the Bengali speaker is on floor 6; hence floor(G) = 10 − 6 = 4.
Three persons live between A (floor 8) and the Malayalam speaker, placing Malayalam on floor 4 — so G, on floor 4, speaks Malayalam.
Above I equals below the Tamil speaker, the Marathi speaker sits just above C, Hindi sits just above Gujarati, and D speaks Telugu; chaining these with the language bans fills every remaining floor uniquely.
The fully solved building (top floor first):
Floor | Person | Language |
|---|---|---|
9 | F | Hindi |
8 | A | Gujarati |
7 | I | Marathi |
6 | C | Bengali |
5 | E | Punjabi |
4 | G | Malayalam |
3 | B | Tamil |
2 | H | Kannada |
1 | D | Telugu |
Answer
G lives on floor 4, so the person living just above G is on floor 5. The persons living below floor 5 occupy floors 4, 3, 2 and 1 — that is 4 persons.
Cross-check
Re-read every clue against the grid: D on floor 1 speaks Telugu; persons above A (1) equal persons below H (1); the Bengali speaker on floor 6 has G’s count satisfied (5 above G, 5 below Bengali); 3 persons sit between H and Bengali (floors 3,4,5); 2 persons between E and the Kannada speaker (floors 3,4); Hindi (9) is just above Gujarati (8); Marathi (7) just above C (6); Punjabi (5) is not on the bottom floor. Every condition holds, confirming 4 persons live below the floor just above G.