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 A, B, C, D and E participated in sprint competition where they were ranked from 1st to 5th. They all were of different heights. It is known that the tallest person did not come 5th and the shortest person did not come 1st. Who was the third shortest person and what was his rank?
Statement I:& A was taller than D, who came 5th. C was just taller than B. B’s rank was just higher than E, who was shorter than D.
Statement II:& C was taller than E, who came 4th. D was just shorter than C, who came 2nd. A was taller than B, who was taller than the one who came 2nd.
Statement I:& A was taller than D, who came 5th. C was just taller than B. B’s rank was just higher than E, who was shorter than D.
Statement II:& C was taller than E, who came 4th. D was just shorter than C, who came 2nd. A was taller than B, who was taller than the one who came 2nd.
Options
- AIf the data in statement I is sufficient to answer the question.
- BIf the data in statement II is sufficient to answer the question.
- CIf the data in either statement I or statement II is sufficient to answer the question.
- DIf the data in both statement I and statement II are necessary to answer the question.
Correct answer
B. If the data in statement II is sufficient to answer the question.
Step-by-step solution
Five persons A,B,C,D and E participated in sprint competition where they were ranked from 1st to 5th. They all were of different heights. It is known that the tallest person did not come 5th& and the shortest person did not come 1st.
Who was the third shortest person and what was his rank?
Statement I:& A was taller than D, who came 5th. C was just taller than B. B’s rank was just higher than E, who was shorter than D.
Statement II:& C was taller than E, who came 4th. D was just shorter than C, who came 2nd. A was taller than B, who was taller than the one who came 2nd.
Checking statement I:
Order of Height : A > D > C > B , D > E
(Tallest to Shortest)
Who was the third shortest person and what was his rank?
Statement I:& A was taller than D, who came 5th. C was just taller than B. B’s rank was just higher than E, who was shorter than D.
Statement II:& C was taller than E, who came 4th. D was just shorter than C, who came 2nd. A was taller than B, who was taller than the one who came 2nd.
Checking statement I:
Order of Height : A > D > C > B , D > E
(Tallest to Shortest)
| Ranks | Persons |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | & D |
Thus we cannot determine the third shortest person and his rank.
Hence data in statement I is not sufficient.
Checking statement II:
Order of Height : A > B > C > D > E
(Tallest to Shortest)
| Ranks | Persons |
| 1 | |
| 2 | C |
| 3 | |
| 4 | E |
| 5 | & D |
Thus C is third shortest person and ranked 2nd.
Hence data in statement II is sufficient.
Hence option B is correct.