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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:
How is Isha definitely related to Vidhi?
Statement I : Isha's mother is sister of Vidhi's father.
Statement II : Vidhi is the daughter of Isha's grand-father's only son.

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

Checking Statement I:
Statement I:& Isha's mother is sister of Vidhi's father.
Reference:
Isha's mother is sister of Vidhi's father.
Inference:
Here, we can observe that a direct relationship between Isha and Vidhi can't be established as Isha's gender is not known.

Clearly, Statement I alone is not sufficient to answer the question.
Checking Statement II:
Statement II:& Vidhi is the daughter of Isha's grand-father's only son.
Reference:
Vidhi is the daughter of Isha's grand-father's only son.
Inference:
Here, a direct relationship between Idha and Vidhi can't be established as it's not given as in Isha's paternal or maternal grand-father is being referred to here. Because of this the statment stays ambiguous.&
Clearly, Statement II alone is not sufficient to answer the question.
Combining Statement I and II:
Statement I:& Isha's mother is sister of Vidhi's father.
Statement II:& Vidhi is the daughter of Isha's grand-father's only son.
Inference:
Even if we combine the two statements above, we do not get the gender of Isha and therefore the statements I and II together are not sufficient to reach the answer.
Option D is hence the correct answer.
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