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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:
What is Vinita's rank from the top in the class of 50 students?
Statement I : Vinni is 4 ranks below Vinita and is thirty second from the the bottom.
Statement II : Vikas is three ranks above Vinita and thirty seventh from the bottom.&

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

C.

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

Step-by-step solution

Checking Statement I:
Statement I:& Vinni is 4 ranks below Vinita and is thirty second from the the bottom.
Reference:
Vinni is 4 ranks below Vinita and is thirty second from the the bottom.
Inference:
Here, we just need to assess whether the rank asked can be found using the data or not. We need not find the actual position of Vinita.

Using the info given in the question statement and statement 1, we can easily find the rank of Vinni and thus we can also find the rank of Vinita from the top.
Clearly, Statement I alone is sufficient to answer the question.
Checking Statement II:
Statement II:& Vikas is three ranks above Vinita and thirty seventh from the bottom.&
Reference:
Vikas is three ranks above Vinita and thirty seventh from the bottom.&
Inference:
Here, once again we have got the data of Vikas whose rank can easily be found out and as his rank is given with respect to Vinita's, we can find Vinita's rank too.&
Clearly, Statement II alone is sufficient to answer the question as well.
Clearly, either statement I or statement II is sufficient to answer the question.
Hence, the correct answer is option C.&
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