# Data Sufficiency Quiz Set 003

### Question 1

You have to decide whether the data provided in the statements are sufficient to answer the question. Read the statements and give your answer.

Is B positive?

1. A + B is positive.
2. A - B is positive.
A

if statement I alone is sufficient but statement II alone is not sufficient.

B

if statement II alone is sufficient but statement I alone is not sufficient.

C

if both statements I and II together are sufficient but neither of statements alone is sufficient.

D

if statements I and II together are not sufficient.

Soln.
Ans: d

B can be positive as well as negative using statements I and II individually. Statements I and II can't be used together. A = 10, B = -5 is one set that satisfies the two conditions, and A = 10, B = +5 also satisfies, so nothing can be said about B.

### Question 2

You have to decide whether the data provided in the statements are sufficient to answer the question. Read the statements and give your answer.

The average marks of three students A, B and C in Mathematics are 180, what are the marks of each of the student?

1. B and C together obtained 85 marks.
2. A and C together obtained 70 marks.
A

if statement I alone is sufficient but statement II alone is not sufficient.

B

if statement II alone is sufficient but statement I alone is not sufficient.

C

if both statements I and II together are sufficient but neither of statements alone is sufficient.

D

if each statement alone is sufficient.

Soln.
Ans: c

Using the information given in the question A + B + C = 540 and that of given in statement I and II together we can find the marks of each of the student.

### Question 3

The following question consists of a question followed by two statements labeled I and II. You have to decide whether the data given in the statement (s) is /are sufficient for answering the question.

Who among A, B, C, D and E is the smallest?

1. B is taller than E and D is taller than A but smaller than E.
2. D is not the tallest and C is not the smallest.
A

if data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question.

B

if data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

if data either in statement I alone or in the statement II alone are sufficient to answer the question.

D

if data in both the statements I and II together are needed to answer the question.

Soln.
Ans: d

Statements I and II individually are not sufficient to answer the question. However, on combining both the statements, we know that A is the smallest and C is the tallest.

### Question 4

You have to decide whether the data provided in the statements are sufficient to answer the question. Read the statements and give your answer.

Among P, Q, T, V, and Z, who is 3rd from the top when arranged in descending order of the heights?

1. V is taller than P and Q and is shorter than T who is not the tallest.
2. T is taller than only Z.
A

if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

if the both in the statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.

C

if the data either in statement I alone or in statement II alone are sufficient to answer the question.

D

if the data given in both the statements I and II together are not sufficient to answer the question.

Soln.
Ans: d

The question can't be solved even with the help of both the statements.

### Question 5

You have to decide whether the data provided in the statements are sufficient to answer the question. Read the statements and give your answer.

Who among T, R and S is (are) to the East of P?

1. R, who is to the West of P, is not as near to S as P is, S is in the farthest East.
2. P is not as far away from S as T is.
A

if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

if the data in the statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.

C

if the data either in statement I alone or in statement II alone are sufficient to answer the question.

D

if the data given in both the statements I and II together are not sufficient to answer the question.

Soln.
Ans: a

From I, it is clear that S is in the East of P. This contains the answer - "S is in the farthest East."