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.
8 different letters − A,E,F,G,M,N,R and T are arranged to form an English word.& Find which letter is placed at fifth position?
Statement I : The word has only two letters placed between the vowels. The word starts with F. Only three letters are between R and E. One of the vowels is placed at an odd numbered position.
Statement II : The second last letter of the word is N. Only one letter is placed between M and N. F and A are placed at a gap of one letter. F and T are placed at extreme ends.
Statement I : The word has only two letters placed between the vowels. The word starts with F. Only three letters are between R and E. One of the vowels is placed at an odd numbered position.
Statement II : The second last letter of the word is N. Only one letter is placed between M and N. F and A are placed at a gap of one letter. F and T are placed at extreme ends.
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
8 different letters − A,E,F,G,M,N,R and T are arranged to form an English word.
Find which letter is placed at fifth position?
Statement I: The word has only two letters placed between the vowels. The word starts with F. Only three letters are between R and E. One of the vowels is placed at an odd numbered position.
Statement II: The second last letter of the word is N. Only one letter is placed between M and N. F and A are placed at a gap of one letter. F and T are placed at extreme ends.
Checking statement I:
As per the hints given in statement I, following arrangements can be prepared.
Case-1: When A is at odd numbered position i.e. third position
Case-2: When E is at odd numbered position i.e. third
Case-3: When A is at odd numbered position i.e. fifth
Case-3A: When A is at odd numbered position i.e. fifth
Case-4: When E is at odd numbered position i.e. seventh
But we cannot determine the fifth letter of the word as we are getting several different observations.
Hence data in statement I alone is not sufficient.
Checking statement II:
We can have following two cases.
In both the cases, M is clearly the fifth word.
Thus statement II is sufficient to answer the question.
Hence option B is correct.
Find which letter is placed at fifth position?
Statement I: The word has only two letters placed between the vowels. The word starts with F. Only three letters are between R and E. One of the vowels is placed at an odd numbered position.
Statement II: The second last letter of the word is N. Only one letter is placed between M and N. F and A are placed at a gap of one letter. F and T are placed at extreme ends.
Checking statement I:
As per the hints given in statement I, following arrangements can be prepared.
Case-1: When A is at odd numbered position i.e. third position
| F | R | A | E |
Case-2: When E is at odd numbered position i.e. third
| F | E | A | R |
| F | E | A | R |
Case-3A: When A is at odd numbered position i.e. fifth
| F | R | A | E |
Case-4: When E is at odd numbered position i.e. seventh
| F | R | A | E |
But we cannot determine the fifth letter of the word as we are getting several different observations.
Hence data in statement I alone is not sufficient.
Checking statement II:
We can have following two cases.
| T | M | A | N | F |
| F | A | M | N | T |
In both the cases, M is clearly the fifth word.
Thus statement II is sufficient to answer the question.
Hence option B is correct.