Data Sufficiency Questions

Q:

What is Gagan's age ? 

I. Gagan, Vimal and Kunal are all of the siime age. 

II. Total age of Vimal, Kunal and Anil is 32 and Anil is as old as Vimal and Kunal together. 

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:

As given in statements I and II, we have G = V = K, V + K + A = 32 and A = V + K.

Putting V + K = A in second. we get 2A = 32 or A = 16.

Thus, V + K = 16 and V = K. So, V = K = 8. Thus, R = 8

Hence, both the statements are needed. 

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6 17698
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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3 17532
Q:

On which day in January, Subhas left for Germany ? 

I. Subhas has so far spent 10 years in Germany. 

II. Subhas friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhass arrival. 

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 from both the given statements, we cannot conclude the exact date of Subhas leaving for Germany. . 

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42 17242
Q:

Who is C's partner in a game of cards involving four players A. B, C and D ? 

I. D is sitting opposite to A. 

II. B is sitting right of A and left of D. 

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:

Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C. 

 

 

 

 

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6 16733
Q:

How many new year's greeting cards were sold this year in your shop ? 

I. Last year 2935 cards were sold. 

II. The number of cards sold this year was 1.2 times that of last year

A) If the data in statement I alone are sufficient to answer the question i 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 the number of cards sold this year (2935 x 1.2) = 3522.

S0. both I and II together are required. 

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8 16501
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 16323
Q:

How many sons does D have ?  

I. A's father has three children. 

II. B is A's brother and son of D. 

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 both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both the statements together are also not sufficient to answer the question. 

 

 

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8 16231
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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