Following the common explanation we can say that the data in all the statement I, II and III are necessary to answer the question.
Hence, the correct answer is option E.
Common explanation:
Reference:
Avanti is first in the class and she is standing two places ahead of Babli. Babli is not the last person in the queue.
Inference:
Using the above information we can say that, Babli is not at the 7^{th} position in the queue.
But we cannot answer the question using the above reference alone.
Thus, data in statement I alone is sufficient to answer the question.
Reference:
Geeta and Anita are standing adjacent to each other and their ranks are also numerically adjacent to each other.
Inference:
Here, we cannot answer the question using the above reference alone.
Thus, data statement in II alone is also not sufficient to answer the question.
Reference:
Kajol who got 3^{rd} rank in the class is standing behind only Abha.
Inference:
Using the above information we can say that Abha was at first position in the queue and immediately behind her was kajol who got third rank.
Here, we cannot answer the question using the above reference alone.
Thus, data statement in III alone is also not sufficient to answer the question.
Combining Statement I and statement II:
We cannot draw out the one who is standing in the middle of the queue.
Thus, data in statement I and II are not sufficient to answer the question.
Combining Statement II and statement III:
We cannot answer the question using these two statements.
Thus, data in statement II and III are not sufficient to answer the question.
Combining Statement I and statement III:
At this point there are two possible scenarios in which Statement I and III can be combined.
Case I:
Rank  Position in queue 
Abha  
3  Kajol 
1  Avanti 
Babli  
Case II:
Rank  Position in queue 
Abha  
3  Kajol 
1  Avanti 
Babli  
Here, either Avanti or anyone else can sit on the 4^{th} position in the queue.
Thus, data in statement I and III are not sufficient to answer the question.
Combining statement I, statement II and statement III:
After, combining statement I and III we get:
Case I:
Rank  Position in queue 
Abha  
3  Kajol 
1  Avanti 
Babli  
Case II:
Rank  Position in queue 
Abha  
3  Kajol 
1  Avanti 
Babli  
And, from statement II we get,
Geeta and Anita are standing adjacent to each other and their ranks are also numerically adjacent to each other.
At this point we cannot place Geeta and Anita at the adjacent position in case 2 so we can say that case 2 is an invalid case.
After using the above information in case 1 we get,
Case I:
Anubhi is placed at the only remaining spot i.e. at 4^{th} position.
Rank  Position in queue 
Abha  
3  Kajol 
1  Avanti 
Babli  
Geta/Anita  
Anita/Geeta 
Here, we can say that Anubhi is in the middle of the queue.
Thus, the data in all the statement I, II and III are necessary to answer the question.
Following the common explanation we can say that data in statement II and III are sufficient to answer the question, while the data in statement I is not sufficient to answer the question.
Hence, the correct answer is option C.
Common Explanation:
From Statement I:
Reference:
There is only one floor between the floors on which floor Sujata and Himansh are living. Shreya is living on an even numbered floor.
Inference:
Using the given information we can say that Sujata and Himansh are living at the gap of 1 floor and Shreya lives on one of the floors among 2, 4 and 6.
But, here we cannot surely say that who among them lives on the ground floor.
Here, data statement in I alone is not sufficient to answer the question.
From Statement II:
Reference:
Lata is not living on an even numbered floor. Himansh is living on an even numbered floor. Himansh is not living on the top floor.
Inference:
Using the given information we can say that Himansh is living on either floor 2 or 4 and Lata is living on one of the floors among 1, 3 and 5.
But, here we cannot surely say that who among them lives on the ground floor.
Here, data statement in II alone is also not sufficient to answer the question.
From Statement III:
Reference:
Suraj is living on an odd numbered floor. There are two floors between the floor on which Suraj and Shreya are living. Lata is living immediately above Sujata.
Inference:
Using the given information we can say that Suraj lives on one of the floors among 1, 3 and 5, there are two floors between Shreya and Suraj, and Lata lives immediately above Sujata.
But, here we cannot surely say that who among them lives on the ground floor.
Here, data statement in III alone is again not sufficient to answer the question.
From Statement I and II:
Reference:
There is only one floor between the floors on which floor Sujata and Himansh are living. Shreya is living on an even numbered floor.
Lata is not living on an even numbered floor. Himansh is living on an even numbered floor. Himansh is not living on the top floor.
Inference:
Using the information given in both statements I and II we can say that Himansh is living on either floor 2 or 4, Shreya lives on one of the floors among 2, 4 and 6, Lata is living on one of the floors among 1, 3 and 5 and Sujata and Himansh are living at the gap of 1 floor.
At this point there are three possible scenarios in which we can use the above hints accordingly.
Possibility 1  Possibility 2  Possibility 3  
Floor  Person  Person  Person 
6  Shreya  Shreya  Sujata 
5  
4  Sujata  Himansh  Himansh 
3  
2  Himansh  Sujata  Shreya 
1 
Floor  Person 
6  Shreya 
5  Lata 
4  Sujata 
3  Suraj 
2  Himansh 
1  Sudeep 
Possibility A  Possibility B  Possibility C  
Floor  Person  Person  Person 
6  Sudeep  Lata  Shreya 
5  Suraj  Sujata  Lata 
4  Lata  Shreya  Sujata 
3  Sujata  Himansh  Suraj 
2  Shreya  Sudeep  Himansh 
1  Himansh  Suraj  Sudeep 
Note: All statement are solved based on given information All comparisons are done based on given options. 

Statement I :  Statement II :  Statement III : 
Brief: P is the father of Q. Q is the sister of S. S is the brother of T. T is daughter of V. Note: No information regarding U. So Not sufficient to answer 
Brief: P is the father of Q. Q is mother of R. R is sister of S. S is the sister of W. U. So Not sufficient to answer 
Brief: T is the mother of R. R is the father of U. U is the sister of Y. Note: No information regarding Q. So Not sufficient to answer 
Statement I and Statement III
Note: Statements II and III can't be combined as in statement II R is a female where in statement III R is a male. 
Combining 1 & 3, 
sufficient to answer

Ans: Option A The data in statement I and III are sufficient to answer the question. 
Note: All statement are solved based on given information All comparisons are done based on given options. 

Statement I and Statement II
Two possibilities based on the above information. Hence it is not sufficient to answer the question.

By comparing statements I & II, Case: 1 
By comparing statements I & II, Case: 2 
Statement II and Statement III
Note: between F/H and G/E. Two possibilities based on the above information. Hence it is not sufficient to answer the question.

By comparing statements II & III, Case: 1 
By comparing statements II & III, Case: 2 
Statement III and Statement I
Note: In case1, If E sits on the immediate left of C, then H faces inside the circle. But any way, we doesn’t get the direction of G. Similar condition is applicable for Case2. Hence it is not sufficient to answer the question.

By comparing statements III & I, Case: 1 
By comparing statements III & I, Case: 2 
Statement I, Statement II and Statement III

Case: 1 Case: 1 gets eliminated. Immediate neighbors of E face the same direction. 
Case: 2
Direction of G is not known.
Hence it is not sufficient to answer the question. 
Option: D (All I, II, III statements are together not sufficient to answer the question) 