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 questions below consists of a question and...
Directions: Each of the questions below consists of a question and two or more statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
There are five floors in a building named from no 1 to 5 in such a way that lowermost floor is numbered as 1 and topmost floor is numbered as 5. Five members live at different floors of the building namely, Rama, Lina, Tina, Charu and Anita, but not necessarily in the same order. Also these five work in different companies namely, A, B, C, D and E. Tina stays on Floor no 2 and works in company D and Charu stays on floor no 5. Also the one who stays on floor no 1 is working in company A. Then who lives on floor no 3 and in which company does she/he work?
I. Neither Lina nor Anita works in company A.
II. One who lives on floor 3 works in company C.
III. Anita does not work in company C.
I. Neither Lina nor Anita works in company A.
II. One who lives on floor 3 works in company C.
III. Anita does not work in company C.
Options
- AStatement (I) and Statement (II) together are sufficient .
- BAny two statements together are sufficient.
- CEither statement (I) statement (II) together or statement (II) and statement (III) together is sufficient.
- DAll the statement (I), statement (II) and statement (III) together are sufficient.
Correct answer
D.
All the statement (I), statement (II) and statement (III) together are sufficient.
Step-by-step solution
Reference:&
Inference:
Statement 1: Neither Lina nor Anita works in company A
Inference: Only Rama is left who will work in company A.
Statement 2: One who lives on floor 3 works in company C.
This statement alone is not sufficient to answer the question.
Statement 3: Anita does not work in company C.
Inference: If Antia does not work in C, so either Lina or Rama will work in company C.
If we take statement 1 and 2 together, we will get the following table:
Taking statement 1 and 3 together, we get the following table:
Taking Statement 2 and 3 together, we get the following table:
Taking all three statements together, we get:
Hence to answer the question we need all three statements.
Hence, the correct answer is option D.
Tina stays on Floor no 2 and works in company D and Charu stays on floor no 5. Also the one who stays on floor no 1 is working in company A.
Inference:
| 5 | Charu | ||
| 4 | |||
| 3 | |||
| 2 | Tina | D | |
| 1 | A |
Statement 1: Neither Lina nor Anita works in company A
Inference: Only Rama is left who will work in company A.
Statement 2: One who lives on floor 3 works in company C.
This statement alone is not sufficient to answer the question.
Statement 3: Anita does not work in company C.
Inference: If Antia does not work in C, so either Lina or Rama will work in company C.
If we take statement 1 and 2 together, we will get the following table:
| 5 | Charu | ||
| 4 | |||
| 3 | C | ||
| 2 | Tina | D | |
| 1 | Rama | A |
Taking statement 1 and 3 together, we get the following table:
| 5 | Charu | ||
| 4 | |||
| 3 | Lina | ||
| 2 | Tina | D | |
| 1 | Rama | A |
Taking Statement 2 and 3 together, we get the following table:
| 5 | Charu | ||
| 4 | |||
| 3 | Lina/Rama | C | |
| 2 | Tina | D | |
| 1 | A |
Taking all three statements together, we get:
| 5 | Charu | ||
| 4 | |||
| 3 | Lina | C | |
| 2 | Tina | D | |
| 1 | Rama | A |
Hence to answer the question we need all three statements.
Hence, the correct answer is option D.