# Data Sufficiency Quiz Set 013

### Question 1

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.

The sum of ages of M, N, and O is 50 years. What is N's age?

1. N is 10 years older than M.
2. O is 30 years old.
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

As given in the question, M + N + O =50 years. Combining statements I and II, we get N = 15 years, M = 5, and O = 30.

### Question 2

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.

How many students are there in the class?

1. Deepak is 10th from right and Jassi is 14th from left.
2. After interchanging their positions, Deepak becomes 27th from right.
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

On combining both the statements, total number of students in the class is calculated as 40.

### 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.

On which day in June did the school reopen?

1. Mohit correctly remembers that the school reopened after 12th June but before 16th June.
2. Mohit's classmate Ashok correctly remembers that the school reopened after 14th June but before 18th June.
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 and II, the school will reopen on 15th June.

### 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.

In a 5-term series 4, P, Q, R, 16 what is the value of R, all numbers being real?

1. 3rd term is twice 1st term.
2. 4th term is twice the 2nd term.
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

Even using both the statements I and II together, the value of R can't be determined.

### 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 children are there in the row of children facing North?

1. Veena who is fifth from the left end is eighth to the left of Anush who is twelfth from the right end.
2. Rohan is fifth to the left of Neeta who is seventh from the right end and eightieth from the left end.
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: c

Both the statements are individually sufficient to answer the question because the positions are given from both the ends.

Using statement I only.Position of Veena from right = position of Anush from right + 8 = 12 + 8 = 20. Total children = position of Veena from left + right -1 = 5 + 20 - 1 = 24.

Using statement II only. Total children = position of Neeta from left + right -1 = 18 + 7 -1 = 24. 