English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Data Sufficiency
English and Logical Reasoning Prep Guide · Logical Reasoning · Data Sufficiency
Directions: The below mentioned question is to be answered using...
Directions: The below mentioned question is to be answered using the statements I and II given below. You have to determine the statement(s) which is/are sufficient to answer the question and mark the option accordingly.
In a 7 storey building where the bottomost floor is numbered as 1 and the topmost floor is numbered as 7, no one lives at floor number 5. Only one person among A,B,C,D,E and F lives at one floor. What is the floor number of D and difference between the floor numbers of D and B?
Statement I : D lives at a gap of two floors from C. B and E live on adjacent floors where E is above B. Only A lives above F, who is at an even numbered floor.
Statement II : E lives two floors below the vacant floor. Only one floor is between the floors of D and B. A lives above just above F. B is adjacent to E.
Options
- AIf the data in statement I alone is sufficient to answer the question
- BIf the data in statement II alone is sufficient to answer the question
- CIf the data in statements I and II is necessary to answer the question
- DIf the data in statements I and II is not sufficient to answer the question
Correct answer
C.
If the data in statements I and II is necessary to answer the question
Step-by-step solution
Checking statement I:
Statement I:& D lives at a gap of two floors from C. B and E live on adjacent floors where E is above B. Only A lives above F, who is at an even numbered floor.
Statement I:& D lives at a gap of two floors from C. B and E live on adjacent floors where E is above B. Only A lives above F, who is at an even numbered floor.
| Floor number | Persons |
| 7 | A |
| 6 | F |
| 5 | Vacant |
| 4 | D/C |
| 3 | E |
| 2 | B |
| 1 | C/D |
Here we cannot determine the floor number of D, thus the required difference cannot be found out.
Hence data in statement I is not sufficient.
Checking statement II:
Statement II:& E lives two floors below the vacant floor. Only one floor is between the floors of D and B. A lives above just above F. B is adjacent to E.
Following three cases are possible with the given hints.
| Floor number | Case-1 | Case-2 | Case-3 |
| Persons | Persons | Persons | |
| 7 | A | A | |
| 6 | F | D | F |
| 5 | Vacant | Vacant | Vacant |
| 4 | D | B | B |
| 3 | E | E | E |
| 2 | B | A | D |
| 1 | F |
Hence data in statement II is not sufficient.
Checking statements I and II:
Statement I:& D lives at a gap of two floors from C. B and E live on adjacent floors where E is above B. Only A lives above F, who is at an even numbered floor.
Statement II:& E lives two floors below the vacant floor. Only one floor is between the floors of D and B. A lives above just above F. B is adjacent to E.
| Floor number | Persons |
| 7 | A |
| 6 | F |
| 5 | Vacant |
| 4 | D |
| 3 | E |
| 2 | B |
| 1 | C |
Thus the difference between the floor numbers of B and D is 2.
Hence data in both the statements is necessary to answer the question.
Hence option C is correct.