# Data Sufficiency Quiz Set 011

### 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.

If 'x' is an integer, is x/2 an even integer?

1. x is a multiple of 2.
2. x is a multiple of 4.
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: b

From statement I, if x is a multiple of 2, then x/2 is even as well as odd. From statement II, if x is a multiple of 4, then x/2 is even.

Hence, statement II alone is sufficient to answer the question.

### Question 2

The following question contains a question and two statements giving certain information. Decide whether the information given in statements are sufficient for answering the question.

How many rooms does your cottage have?

1. The number of rooms is the same as in our cottage.
2. The number is sufficient to accommodate our family members.
A

if the statement I alone sufficient to answer.

B

if statement II alone is needed.

C

if both statements I and II are needed.

D

if both statements I and II are not sufficient to answer the question.

Soln.
Ans: a

From the statement I alone, the question can be answered.

### 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.

Who is tallest among the five boys Sanju, Raman, Rakesh, Karan, and Veeru?

1. Rakesh is taller than Karan and Raman, but not as tall as Sanju.
2. Sanju is not the tallest.
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 in both the statements I and II together are necessary to answer the question.

Soln.
Ans: d

From I, Sanju > Rakesh > (Karan, Raman).

From II, Veeru > Sanju.

∴ From I and II, Veeru 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.

How much more per kg does tea cost than sugar?

1. 7 kg sugar and 1 kg tea cost Rs 80.
2. 4 kg of sugar and 2 kg of tea cost Rs 200.
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

If we suppose price per kg of sugar and tea be Rs x and Rs y, respectively. Then as per statement I 7x + y = 80 and from statement II 4x + 2y = 200. Both the equations can't be solved for the positive values of x and y.

### 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.

How many students did secure 1st class in a class of 48 students?

1. Double the number of 1st class students secured 2nd class and all the remaining failed.
2. Number of students failed was thrice the number of 1st class students in the class.
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 in both the statements I and II together are necessary to answer the question.

Soln.
Ans: d

Let x students score first class. Then by statement I, failed = 48 - 3x. And, by statement II, 48 - 3x = 3x, which gives x = 8.

Hence, I and II together are necessary to answer the question. 