Directions: Read the given information carefully and answer the related questions.
Seven persons—A, B, C, D, E, F and G—live on different floors of a seven-floor building, numbered one to seven from bottom to top.
Each person likes a different fruit—Apple, Guava, Litchi, Watermelon, Mango, Kiwi and Grapes, but not necessarily in the same order.
Four floors are there between the floor on which E and the one who likes Mango lives. E lives immediately below the one who likes Litchi. The one who likes Litchi lives two floors above D. The number of floors below the floor of D is one less than the number of floors above the floor of the one who likes Grapes. One floor is there between the floor of C and the one who likes Grapes. C lives above the one who likes Apple. D doesn’t like Apple. B lives two floors above G but doesn’t like Mango. A lives three floors above the floor of the one who likes Kiwi. The one who likes Guava lives below the floor of the one who likes Kiwi.
Which of the following statements is/are incorrect?
I. F likes Grapes.
II. C lives below the floor on which the one who likes Mango lives.
III. E lives immediately below D.
- AOption (a)
Only III
- BOption (b)
Only II
- COption (c)
Only I and III
- DOption (d)
Only I
- EOption (e)
Only I and II
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Correct answer
Only III
Why this answer is correct
Given: Seven persons—A, B, C, D, E, F and G—live on different floors of a seven-floor building, numbered one to seven from bottom to top.
Each person likes a different fruit—Apple, Guava, Litchi, Watermelon, Mango, Kiwi and Grapes, but not necessarily in the same order.
- Four floors are there between the floor on which E and the one who likes Mango lives.
- E lives immediately below the one who likes Litchi.
- The one who likes Litchi lives two floors above D.
Here, there are two cases, i.e. Case 1 and case 2.
| Floors | Case 1 | Case 2 |
|---|---|---|
| Persons – Fruits | Persons – Fruits | |
| 7 | Litchi | Mango |
| 6 | E | |
| 5 | D | |
| 4 | ||
| 3 | Litchi | |
| 2 | E | |
| 1 | Mango | D |
- The number of floors below the floor of D is one less than the number of floors above the floor of the one who likes Grapes.
- One floor is there between the floor of C and the one who likes Grapes.
- C lives above the one who likes Apple.
- D doesn’t like Apple.
| Floors | Case 1 | Case 2 |
|---|---|---|
| Persons – Fruits | Persons – Fruits | |
| 7 | Litchi | Mango |
| 6 | E | Grapes |
| 5 | D | |
| 4 | C | C |
| 3 | Apple | Litchi |
| 2 | Grapes | E - Apple |
| 1 | Mango | D |
- B lives two floors above G but doesn’t like Mango.
- A lives three floors above the floor of the one who likes Kiwi.
- The one who likes Guava lives below the floor of the one who likes Kiwi.
Case 1 gets eliminated because there is no place for Guava. So, the final arrangement:
| Floors | Case 2 |
|---|---|
| Persons – Fruits | |
| 7 | A - Mango |
| 6 | F - Grapes |
| 5 | B - Watermelon |
| 4 | C - Kiwi |
| 3 | G - Litchi |
| 2 | E - Apple |
| 1 | D - Guava |
I. F likes Grapes - True
II. C lives below the floor on which the one who likes Mango lives - True
III. E lives immediately below D - False
Hence, the correct answer is ‘Only III’.