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.
Seven cars namely A to G is parked in a row, but not necessarily in the same order and the distance between adjacent cars is equal. Consider all cars parked towards north direction. Which among the following car is parked in the middle of the row?
Statement I : Car C is parked to the immediate left of Car G. Only one car is parked between Car F and Car C. Three cars are parked between Car F and Car A, which is not parked at any of the extreme ends.
Statement II : Car A is parked second to the right of Car C. Two cars are parked between Car A and Car B, which is not parked at any of the extreme ends. Four cars are parked between Car B and Car E. Car D is parked second to the right of Car G.
Options
- AThe data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- BThe data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- CThe data either in statement I alone or in statement II alone are sufficient to answer the question.
- DThe data given in both statements I and II together are not sufficient to answer the question.
Correct answer
B.
The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Step-by-step solution
Statement I:
Car C is parked to the immediate left of Car G. Only one car is parked between Car F and Car C. Three cars are parked between Car F and Car A, which is not parked at any of the extreme ends.
North Direction
Car C is parked to the immediate left of Car G. Only one car is parked between Car F and Car C. Three cars are parked between Car F and Car A, which is not parked at any of the extreme ends.
North Direction
| Case-1 | F | C | G | A |
| Case-2 | F | C | G | A |
| Case-3 | A | C | G | F |
| Case-4 | A | C | G | F |
Based on given statements, there are 4 cases are possible. Hence Statement-I is not sufficient
Statement II:
Four cars are parked between Car B and Car E.
Two cars are parked between Car A and Car B, which is not parked at any of the extreme ends.
Car A is parked second to the right of Car C.
North Direction
| Case-1 | B | C | A | E |
| Case-2 | E | A | B |
Case-2 gets eliminated as there is no place for Car C
Car D is parked second to the right of Car G.
| Case-1 | F | B | C | G | A | D | E |
Finally Car F is parked at left end.
Car G is parked in middle of the row. Hence Statement-II is sufficient.
The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
Hence, option B is correct.