# Data Sufficiency Questions

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. .

38 8102
Q:

When is Manohar's birthday this year ?

I. It is between January 13 and 15, January 13 being Wednesday.

II. It is not on Friday.

 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: A) If the data in statement I alone are sufficient to answer the question

Explanation:

From statement I, we conclude that Manohar's birthday is on January 14. which is Thursday. this year.

So, only I is needed.

11 7977
Q:

Is Arun taller than Sachin ?

I. Dinesh is of the same height as Arun and Sachin.

II. Sachin is not shorter than Dinesh.

 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: A) If the data in statement I alone are sufficient to answer the question

Explanation:

From statement I, we can conclude that Dinesh. Arun and Sachin are of the same height So. Arun is not taller than Sachin. Thus, only statement I is sufficient to answer the question. .

11 7858
Q:

Vipin's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vipin's salary ?

I. Javed's salary is 75% that of Vipin's salary.

II. Javed's salary is Rs 4500.

 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 I is merely an interpretation of the information contained in the question

However, Vipin's salary can be determined from statement II as follows

Let Vipin's and Javed's salaries be 4x and ax respectively.

Then, 3x = 4500 or x = 1500 Vipin's salary = 4x = Rs 6000.

Thus, II alone is sufficient.

10 7569
Q:

How many visitors saw the exhibition yesterday ?

I. Each entry pass holder can take up to three persons with him/her.

II. In all, 243 passes were sold yesterday

 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 the two statements, we find that maximum (243 x 3)  i.e, 729 visitors saw the exhibition, But the exact number cannot be determined

10 7099
Q:

How is D related to A?

I. B is the brother of A.

II. B is D's son.

 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 D is the father of B and B is the brother of A. So,

D is the father of A.

Thus, both the given statements are needed.

9 7046
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.

5 6807
Q:

Rohit, 'Kajal, Tanmay and Suman are four friends. Who is the oldest among them ?

I. The total age of Kajol and Tanmay together is more than that of Suman.

II. The total age of Rohit and Kajol together is less than that of Suntan.

 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 given statements, we find that K + T > S and R - K <S.

Thus. who is oldest is not known