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: Each of the following consists of a question and two...
Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
Five persons − Anuj, Vijay, Dhanush, Sumit and Bhanu live on five different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered five. How many persons live between Anuj and Bhanu?
Statement I :& Anuj lives on floor numbered three. Only one person lives between Anuj and Sumit. Vijay lives on an odd numbered floor immediately above Bhanu.
Statement II :& Dhanush lives on an even numbered floor immediately below Anuj. Only one person lives between Dhanush and Bhanu. Vijay lives on the topmost floor.
Statement I :& Anuj lives on floor numbered three. Only one person lives between Anuj and Sumit. Vijay lives on an odd numbered floor immediately above Bhanu.
Statement II :& Dhanush lives on an even numbered floor immediately below Anuj. Only one person lives between Dhanush and Bhanu. Vijay lives on the topmost floor.
Options
- AIf the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
- BIf the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
- CIf the data either in statement I alone or in statement II alone is sufficient to answer the question.
- DIf the data in both statement I and II together are not sufficient to answer the question.
Correct answer
C.
If the data either in statement I alone or in statement II alone is sufficient to answer the question.
Step-by-step solution
We have,
Five persons − Anuj, Vijay, Dhanush, Sumit and Bhanu live on five different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered five. How many persons live between Anuj and Bhanu?
Statement I: Anuj lives on floor numbered three. Only one person lives between Anuj and Sumit. Vijay lives on an odd numbered floor immediately above Bhanu.
Statement II: Dhanush lives on an even numbered floor immediately below Anuj. Only one person lives between Dhanush and Bhanu. Vijay lives on the topmost floor.
Checking Statement I:
Statement I: Anuj lives on floor numbered three. Only one person lives between Anuj and Sumit. Vijay lives on an odd numbered floor immediately above Bhanu.
Reference:
Anuj lives on floor numbered three.
Vijay lives on an odd numbered floor immediately above Bhanu.
Only one person lives between Anuj and Sumit.
Inference:
After using the above references, we have:
Five persons − Anuj, Vijay, Dhanush, Sumit and Bhanu live on five different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered five. How many persons live between Anuj and Bhanu?
Statement I: Anuj lives on floor numbered three. Only one person lives between Anuj and Sumit. Vijay lives on an odd numbered floor immediately above Bhanu.
Statement II: Dhanush lives on an even numbered floor immediately below Anuj. Only one person lives between Dhanush and Bhanu. Vijay lives on the topmost floor.
Checking Statement I:
Statement I: Anuj lives on floor numbered three. Only one person lives between Anuj and Sumit. Vijay lives on an odd numbered floor immediately above Bhanu.
Reference:
Anuj lives on floor numbered three.
Vijay lives on an odd numbered floor immediately above Bhanu.
Only one person lives between Anuj and Sumit.
Inference:
After using the above references, we have:
| Floor | Person |
| 5 | Vijay |
| 4 | Bhanu |
| 3 | Anuj |
| 2 | |
| 1 | Sumit |
Here, we can say that no one lives between Anuj and Bhanu.
Clearly, Statement I alone is sufficient to answer the question.
Checking Statement II:
Statement II: Dhanush lives on an even numbered floor immediately below Anuj. Only one person lives between Dhanush and Bhanu. Vijay lives on the topmost floor.
Reference:
Vijay lives on the topmost floor.
Dhanush lives on an even numbered floor immediately below Anuj.
Only one person lives between Dhanush and Bhanu.
Inference:
After using the above references, we have:
Statement II: Dhanush lives on an even numbered floor immediately below Anuj. Only one person lives between Dhanush and Bhanu. Vijay lives on the topmost floor.
Reference:
Vijay lives on the topmost floor.
Dhanush lives on an even numbered floor immediately below Anuj.
Only one person lives between Dhanush and Bhanu.
Inference:
After using the above references, we have:
| Floor | Person |
| 5 | Vijay |
| 4 | Bhanu |
| 3 | Anuj |
| 2 | Dhanush |
| 1 |
Here, we can say that no one lives between Anuj and Bhanu.
Clearly, Statement II alone is sufficient to answer the question.
Here, the data in either Statement I or II alone is sufficient to answer the question.
Hence, the correct answer is option C.
Clearly, Statement II alone is sufficient to answer the question.
Here, the data in either Statement I or II alone is sufficient to answer the question.
Hence, the correct answer is option C.