Data Sufficiency Questions

Q:

It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur ? 

I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m. 

II. Fifteen minutes ago, one bus has left for Ramnagar.  

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:

II reveals that the previous bus had left al 7.45 p.m

As given in I, the next has would leave after 30 minutes i.e, at 8.15 p.m. 

 

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Q:

What is the total monthly salary of Vasu ? 

I. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company. 

II. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.

III. Rajan's basic salary is Rs 1550 per month. 

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

Explanation:

From III, we have : Rajan's basic salary = Rs 1550.

From I,   we have : Vasu's basic salary = Rs (1550 + 100) =  Rs 1650.

From II.  we have : Rajan's other allowances = RS 2000

             and Vasu's other allowances = Rs 2050.

Vasu's monthly salary is (1650 + 2050) = Rs 3700.

Thus, all the three statements are required. 

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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:

How many brothers does Tarun have ? 

I. Tarun's father has three children. 

II. Tarun has two sisters. 

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 both the statements together, we find that Tarun's father has three children — Tarun and his two sisters This means that Tarun has no brother.

So, both I and II are needed. 

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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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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:

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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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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