Data Sufficiency Questions

Q:

Is D brother of F ?  

I. B has two sons of which F is one. 

II. D's mother is married to B. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From I, we conclude that F is the son of B.

From II, we conclude that B's wife is D's mother.

This means that D and F are the sons of B and D is the brother of F.

So, both I and II are required. 

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4 14843
Q:

Who is the father of M ? 

I. A and B are brothers. 

II. Ws wife is sister of M's wife. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

From II, we conclude that B is the brother-in law of M. So, even from both the statements, we can't find out who is the father of M 

 

 

 

 

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Q:

 Among four friends A, B, C and D. who is the heaviest ? 

 I. B is heavier than A. but lighter than D. 

 II. C is lighter than B. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From I. we have A <B< D.

From II. we have C < B

Combining( I) and (II), we can conclude that D is the heaviest

So. both the statements are needed 

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Q:

Gaurav ranks eighteenth in a class. What is his rank from the last ? 

I. There are 47 students in the class. 

II. Jatin who ranks 10th in the same class, ranks 38th from the last. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: C) If the data either in I or II alone are sufficient to answer the question;

Explanation:

To find the rank from other end, we need to know the total number of students in the class. So. I is sufficient. Also: from II, we can conclude that there are (10 + 38- 1 = 47) students in the class.

So. II alone is also sufficient. 

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Q:

In which year was Sanjay born ? 

I. Sanjay is six years older than Gopal.

II. Gopal's brother was born in 1982.

III. Sanjay's brother as two years younger than Gopal's brother who was eight years younger than Gopal. 

A) I and II together B) II and III together
C) I and III together D) I, II and III together
 
Answer & Explanation Answer: D) I, II and III together

Explanation:

From II, we know that Copal's brother was born in 1982. From III, we find that Gopal's brother was 8 years younger to him i.e. Copal was born in 1974. From I, we find that Sanjay is 6 years older than Gopal Thus. Sanjay was born in 1968. So. all the three statements are required. 

 

 

 

 

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4 14343
Q:

How is Rakesh related to Keshav ? 

I. Tapan's wife Nisha is paternal aunt of Keshav. 

II.Rakesh is the brother of a friend of Nisha. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

Clearly, both the statements together are not sufficient to answer the question. 

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Q:

How is B related to A ? 

I. A is B's sister. 

II. is the father of A and B. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: D) If the data even in both the statements together are not sufficient to answer the question

Explanation:

From statements I and II together, we can conclude only that either B is the sister or brother of A.

So, even from both the statements, the exact relation cannot be known. 

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Q:

Which day of the last week did Satish meet Kapil at Kapil's residence ? 

I. Kapil was out of town from Monday to Wednesday. lie returned on Thursday morning. 

II. On Friday night Satish telephoned his friend to inform that only yesterday he had got approval of Kapil after personally explaining to him all the details 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

Statement II reveals that Satish met his friend Kapil on the day prior to Friday  i.e, Thursday.

Thus, only II is needed. 

 

 

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