Directions: Study the following information carefully and answer the questions given below:
Ten people— H, I, J, K, L, M, N, O, P, and Q —live in a building with five floors and two flats (Flat 1 and Flat 2) on each floor. The floors are numbered from 1 to 5 (1 being the lowermost floor and 5 being the topmost floor). Each floor has two flats viz., Flat-1 and Flat-2, where Flat 1 is to the west of Flat 2. Flat 1 of floor 2 is immediately above Flat 1 of floor 1 and immediately below Flat 1 of floor 3 and so on. Similarly Flat 2 of floor 2 is immediately above Flat 2 of floor 1 and immediately below Flat 2 of floor 3 and so on. The area of each flat is equal.
Only two persons live on each floor and only one person lives in each flat.
O lives on an even-numbered floor in Flat-1. K lives in Flat-2 of the topmost floor. M lives west of J. M lives on a floor immediately below the O’s floor. P and I live on the same named flat. P and O lives in a different named flat.
Only one floor is between P and L. P lives below L. H lives to the west of K. N lives immediately below L, but not in the same named flat. One floor between Q’s floor and O’s floor.
How many persons live between H and M in the same numbered flat?
- AOption (a)
None
- BOption (b)
One
- COption (c)
Four
- DOption (d)
Three
- EOption (e)
Two
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Correct answer
Three
Why this answer is correct
Given: Ten people— H, I, J, K, L, M, N, O, P, and Q —live in a building with five floors and two flats (Flat 1 and Flat 2) on each floor. The floors are numbered from 1 to 5 (1 being the lowermost floor and 5 being the topmost floor). Each floor has two flats viz., Flat-1 and Flat-2, where Flat 1 is to the west of Flat 2. Flat 1 of floor 2 is immediately above Flat 1 of floor 1 and immediately below Flat 1 of floor 3 and so on. Similarly Flat 2 of floor 2 is immediately above Flat 2 of floor 1 and immediately below Flat 2 of floor 3 and so on. The area of each flat is equal.
Only two persons live on each floor and only one person lives in each flat.
- H lives to the west of K.
- K lives in Flat-2 of the topmost floor.
- O lives on an even-numbered floor in Flat-1.
- M lives west of J.
- M lives on a floor immediately below the O’s floor. So, there are two cases here:
| Floors | Case 1 | Case 2 | ||
|---|---|---|---|---|
| Flat - 1 | Flat - 2 | Flat - 1 | Flat - 2 | |
| 5 | H | K | H | K |
| 4 | O | |||
| 3 | M | J | ||
| 2 | O | |||
| 1 | M | J |
- One floor between Q’s floor and O’s floor.
- P and I live on the same named flat.
- Only one floor is between P and L.
- P lives below L.
| Floors | Case 1 | Case 2 | ||
|---|---|---|---|---|
| Flat - 1 | Flat - 2 | Flat - 1 | Flat - 2 | |
| 5 | H | K | H | K |
| 4 | O | L | Q | L |
| 3 | M | J | ||
| 2 | Q | P | O | P |
| 1 | M | J |
- P and O lives in a different named flat.
- N lives immediately below L, but not in the same named flat.
Case 1 gets eliminated here because there is no space left for M. So, the final arrangement is:
| Floors | Flat - 1 | Flat - 2 |
|---|---|---|
| 5 | H | K |
| 4 | Q | L |
| 3 | N | I |
| 2 | O | P |
| 1 | M | J |
Three persons live between H and M in the same numbered flat.
Hence, the correct answer is ‘Three’.