Data Sufficiency Questions

Q:

At what time did Sonali leave her home for office?  

I. Sonali received a phone call at 9:15  a.m. at her home. 

II. Sonali's car reached office at 10:15 a.m.  45 minutes after she left her residence. 

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:

From statement II, we conclude that Sonali left her home 45 minutes before 10.15 a.m.  i.e, 9.30 a.m.

Thus, only Ills needed 

 

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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:

What time did the train leave today ? 

I. The train normally leaves on time. 

II. The scheduled departure is at 14 : 30. 

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, even both the statements together do not reveal the exact time of departure of the train today.  

 

 

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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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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:

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:

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:

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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