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:
In a straight line of twentyfive persons facing north how many persons are sitting between Dev and Han?
Statement I :& Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han. Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Statement II :& Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Only six persons sit between Ram and Dev. Ram sits on the left of Dev. Han sits fourth to the left of Mia.
Statement I :& Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han. Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Statement II :& Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Only six persons sit between Ram and Dev. Ram sits on the left of Dev. Han sits fourth to the left of Mia.
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
B.
If 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.
Step-by-step solution
We have,
In a straight line of twentyfive persons facing north how many persons are sitting between Dev and Han?
Statement I:& Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han. Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Statement II:& Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Only six persons sit between Ram and Dev. Ram sits on the left of Dev. Han sits fourth to the left of Mia.
Checking Statement I:
Statement I:& Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han. Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Reference 1:
Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han.
Inference 1:
After using the above references, we have:
Order of persons in the row =& Ana& +& 6 persons& +& Han& +& 17 persons
Reference 2:
Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Inference 2:
Here, we have two possible scenarios in which the above references can be used.
Case 1:
Order of persons in the row =& Ana& +& 6 persons& +& Han& +& 10 persons& +& Pal& +& 4 persons& +& Dev& +& 1 person
Case 2:
Order of persons in the row =& Ana& +& 6 persons& +& Han& +& 5 persons& +& Dev& +& 4 persons& +& Pal& +& 6 persons
Here, we cannot surely say how many persons are sitting between Dev and Han.
Clearly, Statement I alone is not sufficient to answer the question.
Checking Statement II:
Statement II:& Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Only six persons sit between Ram and Dev. Ram sits on the left of Dev. Han sits fourth to the left of Mia.
Reference 1:
Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Han sits fourth to the left of Mia.
Inference 1:
After using the above references, we have:
Order of persons in the row =& 8 persons& +& Han& +& 3 persons& +& Mia& +& 3 persons& +& Ram& +& 8 persons
Reference 2:
Only six persons sit between Ram and Dev. Ram sits on the left of Dev.
Inference 2:
After using the above references, we have:
Order of persons in the row =& 8 persons& +& Han& +& 3 persons& +& Mia& +& 3 persons& +& Ram& +& 6 persons& +& Dev& +& 1 person
Here, we can say that 14 persons sit between Han and Dev
Clearly, Statement II alone is sufficient to answer the question.
Here, the data in Statement II alone is sufficient to answer the question.
Hence, the correct answer is option& B.
In a straight line of twentyfive persons facing north how many persons are sitting between Dev and Han?
Statement I:& Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han. Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Statement II:& Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Only six persons sit between Ram and Dev. Ram sits on the left of Dev. Han sits fourth to the left of Mia.
Checking Statement I:
Statement I:& Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han. Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Reference 1:
Ana sits at the extreme left end of the line. Only six persons sit between Ana and Han.
Inference 1:
After using the above references, we have:
Order of persons in the row =& Ana& +& 6 persons& +& Han& +& 17 persons
Reference 2:
Only ten persons sit between Han and Pal. Only four persons sit between Pal and Dev.
Inference 2:
Here, we have two possible scenarios in which the above references can be used.
Case 1:
Order of persons in the row =& Ana& +& 6 persons& +& Han& +& 10 persons& +& Pal& +& 4 persons& +& Dev& +& 1 person
Case 2:
Order of persons in the row =& Ana& +& 6 persons& +& Han& +& 5 persons& +& Dev& +& 4 persons& +& Pal& +& 6 persons
Here, we cannot surely say how many persons are sitting between Dev and Han.
Clearly, Statement I alone is not sufficient to answer the question.
Checking Statement II:
Statement II:& Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Only six persons sit between Ram and Dev. Ram sits on the left of Dev. Han sits fourth to the left of Mia.
Reference 1:
Mia sits exactly in the middle of the line. Only three persons sit between Ram and Mia. Han sits fourth to the left of Mia.
Inference 1:
After using the above references, we have:
Order of persons in the row =& 8 persons& +& Han& +& 3 persons& +& Mia& +& 3 persons& +& Ram& +& 8 persons
Reference 2:
Only six persons sit between Ram and Dev. Ram sits on the left of Dev.
Inference 2:
After using the above references, we have:
Order of persons in the row =& 8 persons& +& Han& +& 3 persons& +& Mia& +& 3 persons& +& Ram& +& 6 persons& +& Dev& +& 1 person
Here, we can say that 14 persons sit between Han and Dev
Clearly, Statement II alone is sufficient to answer the question.
Here, the data in Statement II alone is sufficient to answer the question.
Hence, the correct answer is option& B.