# Data Sufficiency Quiz Set 019

### 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.

How much did a man earn in 1960?

1. He earned Rs. 6,500 in 1963 which is 12.5% more than he earned in 1960.
2. His wife (who earned half the amount he earned) and he earned Rs 8,666.62 together in 1960.
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: d

Man's earning in the year 1960 can be calculated with the help of either of the statements.

### 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

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 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.

What will be the age of Sanju after 5 years from now?

1. Sanju is 30 years younger than his father.
2. His father was 50 years old 5 years ago.
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

From statement II, it is clear that Sanju's father is 55 years now. Now using statement I, it is clear that Sanju will be 25 years old now.

### Question 5

The problem below consists of a question and three statement I, II and III given below it. Read all the statements carefully and see all possible combinations which could be sufficient for answering the question. A single statement or statements with least combinations which could be sufficient for answering the question would be your answer.

In which year was Rajinder born?

1. Rajinder is six years older than Kanta.
2. Kanta's brother was born in 1982.
3. Rajinder's brother is two years younger than Kanta's brother who was eight years younger than her.
A

I and III only.

B

II and III only.

C

All I, II and III.

D

I and II only.

Soln.
Ans: c

From statements II and III, it is clear that Kanta's brother was born in 1982, Rajinder's brother was born in 1984 and Kanta was born in 1974. Now from statement I, it is given that Rajinder is six years older than Kanta, hence we know that Rajinder was born in 1968. 