Question Details

Consider two Statements and a Question:


Statement-1: Priya is 4 ranks below Seema and is 31st from the bottom.

Statement-2: Ena is 2 ranks above Seema and is 37th from the bottom.

Question: What is Seema’s rank from the top in the class of 40 students?

Which one of the following is correct in respect of the Statement and the Question?

Options

A

Statement-I alone is not sufficient to answer the Question.

B

Statement-2 alone is not sufficient to answer the Question.

C

Either Statement-I alone or Satetement-2 alone is sufficient to answer the Question.

D

Both Statement-1 and Statement-2 are required to answer the Question.

Show Answer

Correct Answer :

Option C

Either Statement-I alone or Satetement-2 alone is sufficient to answer the Question.

Solution :

The correct answer is Either Statement-I alone or Satetement-2 alone is sufficient to answer the Question.


Let us analyze the problem step-by-step to determine if either statement alone or both statements together are sufficient to find Seema's rank from the top in a class of 40 students.


Total number of students in the class = 40.


Recall the general formula relating a person's rank from the top, rank from the bottom, and total number of students:

Rank from Top=Total Students-Rank from Bottom+1


Evaluating Statement-1:


Statement-1 says: "Priya is 4 ranks below Seema and is 31st from the bottom."


Being 4 ranks "below" Seema means Priya's rank from the bottom is 4 places less than Seema's rank from the bottom (i.e., closer to the bottom).


Therefore, Seema's rank from the bottom = Priya's rank from the bottom + 4


Seema's rank from the bottom = 31 + 4 = 35th from the bottom.


Now, using the total student strength of 40, we can calculate Seema's rank from the top:


Seema’s rank from the top=40-35+1=6


Thus, Statement-1 alone is sufficient to answer the question.


Evaluating Statement-2:


Statement-2 says: "Ena is 2 ranks above Seema and is 37th from the bottom."


Being 2 ranks "above" Seema means Ena's rank from the bottom is 2 places higher than Seema's rank from the bottom (i.e., further from the bottom).


Therefore, Seema's rank from the bottom = Ena's rank from the bottom - 2


Seema's rank from the bottom = 37 - 2 = 35th from the bottom.


Now, using the total student strength of 40, we can calculate Seema's rank from the top:


Seema’s rank from the top=40-35+1=6


Thus, Statement-2 alone is also sufficient to answer the question.


Conclusion:


Since each statement independently provides enough information to uniquely determine Seema's rank from the top, Either Statement-I alone or Satetement-2 alone is sufficient to answer the Question.

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