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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 questions.
Seven friends− Richa, Riya, Rani, Roma, Rashi, Ridhi and Ruby went for a picnic on seven days of a week such that only one person went on one day. Who went in the last?

Statement I :& Only two persons went after Riya, who went just after Rashi. Ruby went immediately before Ridhi. Richa was not the first one to go for picnic.

Statement II :& Nobody went before Rani. Ridhi went just just after Ruby, who went after but not immediately after Rashi. Richa went just after Rani but immediately before Rashi.

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

Seven friends− Richa, Riya, Rani, Roma, Rashi, Ridhi and Ruby went for a picnic on seven days of a week such that only one person went on one day.

Who went in the last?

Statement I:& Only two persons went after Riya, who went just after Rashi. Ruby went immediately before Ridhi. Richa was not the first one to go for picnic.

Statement II:& Nobody went before Rani. Ridhi went just just after Ruby, who went after but not immediately after Rashi. Richa went just after Rani but immediately before Rashi.

Checking statement I:

We can have the following arrangement:

Rashi > Riya > _ > _
Ruby > Ridhi
But we cannot determine the one who went in the last..
Hence data in statement I alone is not sufficient.

Checking statement II:

We can have the following two possible arrangements:

Rani > Richa >& Rashi& > _ > Ruby > Ridhi > _ or

Rani > Richa >& Rashi& > _ > _ >& Ruby > Ridhi

Thus we cannot surely determine that Ridhi went in the last.

Hence data in statement II alone is not sufficient.

Checking Both statements I and II:

We cannot make a definite arrangement with both the statements as the information that Only two persons went after Riya, who went just after Rashi clashes with the other mentioned hints.
Hence data in both statement I and II together is not sufficient to answer the question.

Hence option D is correct.
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