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 questions below consists of a question and...
Directions: Each of the questions below 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:
What is the distance between X and Y?
Statement I : Point X is 7 m north of point J. Point C is 10 m east of point E. Point O is 4 m west of point Y. Point E is 12 m north of point M. Point Y is 15 m south of point C. Point J is 9 m west of point M.
Statement II : Point X is 12 m west of point J. Point E is 11 m north of point C. Point O is 5 m north of point Y. Point M is 14 m north of point J and is also 8 m west of point E.
Statement I : Point X is 7 m north of point J. Point C is 10 m east of point E. Point O is 4 m west of point Y. Point E is 12 m north of point M. Point Y is 15 m south of point C. Point J is 9 m west of point M.
Statement II : Point X is 12 m west of point J. Point E is 11 m north of point C. Point O is 5 m north of point Y. Point M is 14 m north of point J and is also 8 m west of point E.
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
A.
If 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.
Step-by-step solution
We have,
What is the distance between X and Y?
Statement I: Point X is 7 m north of point J. Point C is 10 m east of point E. Point O is 4 m west of point Y. Point E is 12 m north of point M. Point Y is 15 m south of point C. Point J is 9 m west of point M.
Statement II: Point X is 12 m west of point J. Point E is 11 m north of point C. Point O is 5 m north of point Y. Point M is 14 m north of point J and is also 8 m west of point E.
Checking Statement I:
Statement I: Point X is 7 m north of point J. Point C is 10 m east of point E. Point O is 4 m west of point Y. Point E is 12 m north of point M. Point Y is 15 m south of point C. Point J is 9 m west of point M.
Reference:
Point X is 7 m north of point J.
Point J is 9 m west of point M.
Point E is 12 m north of point M.
Point C is 10 m east of point E.
Point Y is 15 m south of point C.
Point O is 4 m west of point Y.
Inference:
After using the above references, we can draw a following figure:
What is the distance between X and Y?
Statement I: Point X is 7 m north of point J. Point C is 10 m east of point E. Point O is 4 m west of point Y. Point E is 12 m north of point M. Point Y is 15 m south of point C. Point J is 9 m west of point M.
Statement II: Point X is 12 m west of point J. Point E is 11 m north of point C. Point O is 5 m north of point Y. Point M is 14 m north of point J and is also 8 m west of point E.
Checking Statement I:
Statement I: Point X is 7 m north of point J. Point C is 10 m east of point E. Point O is 4 m west of point Y. Point E is 12 m north of point M. Point Y is 15 m south of point C. Point J is 9 m west of point M.
Reference:
Point X is 7 m north of point J.
Point J is 9 m west of point M.
Point E is 12 m north of point M.
Point C is 10 m east of point E.
Point Y is 15 m south of point C.
Point O is 4 m west of point Y.
Inference:
After using the above references, we can draw a following figure:
Here, we can easily find the distance between X and Y (we don’t need to find the exact distance).
Clearly, Statement I alone is sufficient to answer the question.
Checking Statement II:
Statement II: Point X is 12 m west of point J. Point E is 11 m north of point C. Point O is 5 m north of point Y. Point M is 14 m north of point J and is also 8 m west of point E.
Reference:
Point X is 12 m west of point J.
Point E is 11 m north of point C.
Point O is 5 m north of point Y.
Point M is 14 m north of point J and is also 8 m west of point E.
Inference:
Here, we have no relation between point X and point Y. so, we cannot find the distance between points X and Y.
Clearly, Statement II alone is also not sufficient to answer the question.
Here, the data in Statement I alone is sufficient to answer the question.
Hence, the correct answer is option A.