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 questions.
Six cars from C1 to C6 participated in a race. Which car stood at first position?
Statement I:& C1 finished the race before two cars only. C3 was not the last one to finish the race. C4 finished the race just before C5.
Statement II:& No other car finished the race after C6, which finished the race just after C3. C2 finished the race before C3.
Statement I:& C1 finished the race before two cars only. C3 was not the last one to finish the race. C4 finished the race just before C5.
Statement II:& No other car finished the race after C6, which finished the race just after C3. C2 finished the race before C3.
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
D.
If the data in both statement I and II together are not sufficient to answer the question.
Step-by-step solution
Six cars from C1 to C6 participated in a race. Which car stood at first position?
Statement I:& C1 finished the race before two cars only. C3 was not the last one to finish the race. C4 finished the race just before C5.
Statement II:& No other car finished the race after C6, which finished the race just after C3. C2 finished the race before C3.
Checking statement I:
As per the given hints, following positions can be drawn.
> C1 > _ > _
Thus we cannot determine the car that stood at first position.
Hence data in statement I alone is not sufficient to answer the question.
Checking statement II:
Following position can be drawn with the hints given in statement II.
C3 > C6
Statement I:& C1 finished the race before two cars only. C3 was not the last one to finish the race. C4 finished the race just before C5.
Statement II:& No other car finished the race after C6, which finished the race just after C3. C2 finished the race before C3.
Checking statement I:
As per the given hints, following positions can be drawn.
> C1 > _ > _
Thus we cannot determine the car that stood at first position.
Hence data in statement I alone is not sufficient to answer the question.
Checking statement II:
Following position can be drawn with the hints given in statement II.
C3 > C6
Still, we cannot determine the car which stood first.
Hence data in statement II alone is not sufficient to answer the question.
Checking statements I and II:
C4> C5> C2> C1> C3 > C6 or
C2> C4> C5> C1> C3 > C6
Either C2 or C4 stood at first position.
Hence data in statement I and II together is not sufficient to answer the question.
Hence option D is correct.
Hence option D is correct.