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.
6 persons from A to F live in a 7-floored building such that the bottomost floor is numbered as 1 and the topmost floor is numbered as 7, nobody lives at floor number 5. Only one person lives at one floor. How many persons live below B?
Statement I : F lives at an odd numbered floor. D lives at a gap of two floors from F. B and C live on adjacent floors where C is above B. Only A lives above E.
Statement II : C lives two floors below the vacant floor. Only one floor is between the floors of D and B. A lives just above E. B is adjacent to C.
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
A. If the data in statement I alone is sufficient to answer the question
Step-by-step solution
Checking statement I:
Statement I:& F lives at an odd numbered floor.& D& lives& at a gap of two& floors from& F. B and& C& live on adjacent& floors where& C& is above B. Only A& lives& above E.
Statement I:& F lives at an odd numbered floor.& D& lives& at a gap of two& floors from& F. B and& C& live on adjacent& floors where& C& is above B. Only A& lives& above E.
| Floor number | Persons |
| 7 | A |
| 6 | E |
| 5 | Vacant |
| 4 | D |
| 3 | C |
| 2 | B |
| 1 | F |
Clearly, one person lives below B.
Hence data in statement I is sufficient.
Checking statement II:
Statement II:& C& lives& two& floors below the vacant& floor. Only one& floor& is between the& floors of& D& and B.& A& lives& just above& E. B is adjacent to& C.
Following three cases are possible with the given hints.
| Floor& number | Case-1 | Case-2 |
| Persons | Persons | |
| 7 | A | A |
| 6 | E | E |
| 5 | Vacant | Vacant |
| 4 | B | D |
| 3 | C | C |
| 2 | D | B |
| 1 |
Here we cannot determine whether 1 or 3 persons live below B.
Hence data in statement II is not sufficient.
Hence option A is correct.