# Data Sufficiency Questions

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.

18 18827
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.

8 18199
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.

17 17933
Q:

Manoj, Prabhakar, Mash and Kamal are four friends. Who among them is the heaviest ''

I. Prabhakar is heavier than Manoj and Kamal but lighter than Akash.

II.Manoj is lighter than Prabhakar and Mask but heavier than Kamal.

 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, P > M, P > K, A > P.

From II we have, M > K, P > M, A > P.

Combining the above two, we have : A > P > M > K.

Thus, Akash is the heaviest. So, both the statements are required.

18 17547
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.

11 17520
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. .

42 17150
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

13 17146
Q:

In a certain code '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code ?

I. '157' means 'stop bad habit'.

II. '839' means 'smoking is injurious'.

 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:

'59' means Injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So. '9' represents 'injurious'.Hence, I is sufficient.

Also, '59' means Injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.