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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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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5 14148
Q:

What is the monthly salary of Praveen ? 

I. Praveen gets 15% more than Sumit while Sumit gets 10% less than Lokesh.

II. Lokesh's monthly salary is Its 2500. 

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 given statements, we find that : Praveen's salary s 115% of (90% of Rs 2500) = Rs 2587.50

So, both I and II are required. 

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3 13899
Q:

How many sons does X have ? 

I. Q and U are brothers of T. 

II. R is sister of P and U. 

III. R and T are daughters of X. 

A) I and 11 only B) I, II and III together
C) II and III together D) I, II and III together are not sufficient
 
Answer & Explanation Answer: D) I, II and III together are not sufficient

Explanation:

The information given in the three statements together is also not sufficient to answer the given question. 

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6 13634
Q:

Buses are always punctual in city X. How long, at the most, will Mr. Roy have to wait for the bus ?

I. Mr. Roy has come to the bus stand at 9 A.M. 

II. There is a bus at 10 A.M. and possibly another bus even earlier. 

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 given statements, we find that Mr. Roy reached the bus stand at 9 AM and a bus is sure to arrive at 10 AM. So. Mr. Roy has to wait for at the most one hour. 

 

 

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Q:

On which day in April is Gautam's birthday ?  

I. Gautam was born exactly 28 years after his mother was born. 

II. His mother will be 55 years 4 months and 5 days on August 18 this year. 

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:

Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I. Thus, both the statements are required. 

 

 

 

 

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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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6 12954
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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