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Direction: In the following question, a given questions is followed by information in two statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. Seven persons B, H, I, L, M, R and S live on seven floor building such that bottom floor is floor 1 and top floor is floor 7. Who among them lives on floor 2?

I. Only three persons sit between M and I who lives who lives below M. There is only one person live between B and L who lives three floors above I.

II. S lives on odd floor but neither on top nor on bottom floor. Two persons live between R and L. H doesn’t live above M. 

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  1. 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. 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
  4. If the data given in both statements I and II together are not sufficient to answer the question.
  5. If the data in both statements I and II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 5 : If the data in both statements I and II together are necessary to answer the question.
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Detailed Solution

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Here, given persons are B, H, I, L, M, R and S bottom floor is 1st and top floor is 7th.

From statement I, Only three persons sit between M and I who lives who lives below M. There is only one person live between B and L who lives three floors above I.

Floor

Case – 1

Case – 2

Case – 3

Case – 4

Case – 5

Persons

Persons

Persons

Persons

Persons

7

 

 

 

B

M

6

 

B

M

M

L

5

M

M

L

L

 

4

L

L

 

 

B

3

 

 

B

 

I

2

B

 

I

I

 

1

I

I

 

 

 

 

So, statement I alone is not sufficient.

From statement II, S lives on odd floor but neither on top nor on bottom floor. Two persons live between R and L. H doesn’t live above M. Since, this statement alone is not sufficient to answer the given question. Now, by combining both statements we get

Floor

Persons

7

R

6

B

5

M

4

L

3

S

2

H

1

I

 

Hence, the data in both statements I and II together are necessary to answer the question.

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