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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:
A, B, C, D and E stand in a row for a photograph. Who is standing 4th from the left?
Statement I : E is the person standing in the middle.
Statement II : A and B are neighbors of E.

Options

  1. 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.
  2. 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.
  3. C
    If the data either in statement I alone or in statement II alone is sufficient to answer the question.
  4. D
    If 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

We have,

A, B, C, D and E stand in a row for a photograph. Who is standing 4th from the left?

Statement I: E is the person standing in the middle.

Statement II: A and B are neighbors of E.

Checking statement I alone:

Statement I: E is the person standing in the middle.

References:

E is the person standing in the middle.

Inferences:

In this statement, there is no information about all the persons standing for the photograph.

Clearly, data in statement I alone are not sufficient to reach the answer.

Checking statement II alone:

Statement II: A and B are neighbors of E.

References:

A and B are neighbors of E.

Inferences:

In this statement, there is no information about where C and D are standing.

Clearly, data in statement II alone are not sufficient to reach the answer.

Checking both statements I and II together:

Statement I: E is the person standing in the middle.

Statement II: A and B are neighbors of E.

References:

E is the person standing in the middle.
A and B are neighbors of E.


Inferences:

After using the above references, we have:

E is standing third from both left and right side. And, A and B are neighbors of E but definite positions of A and B is not known. So, we cannot answer the question.

Clearly, data in both statements I and II together are not sufficient to reach the answer.

Option D is hence the correct answer.
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