Data Sufficiency Quiz Set 009

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.

X borrowed Rs 1,000 from Y on simple interest. What is the rate of interest per annum?

1. After four years, X paid Rs 100 as interest.
2. After four years, X paid Rs 1,100 to settle the loan.
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 even in both the statements together are not sufficient to answer the question.

Soln.
Ans: c

From both the statements using individually, it is clear that interest for four years is 100 i.e., interest for one year will be 25. Hence, rate of interest is 25/1000 × 100 = 2.5%.

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.

What is total salary of Mr. X and his wife at present?

1. Salary of X and his wife together is 20% more than what they earned last month.
2. Last year salary of X was Rs 600 more than that of his wife.
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 even in both the statements together are not sufficient to answer the question.

Soln.
Ans: d

Since Salary of X's wife is not known for the last year. Hence, even a combination of both the statements will not be adequate for answering the question.

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.

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 4

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.

Has decline in infant mortality rate increased the life-span of human beings?

1. The average life-span of tribals is 85 years.
2. Woman outlive men in younger age-groups.
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: d

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.

What is 4th consecutive even number in a given series of even real numbers?

1. The sum of 1st two numbers is 18.
2. The sum of last two numbers is 26.
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

from statement I, x + (x + 2) = 18 i.e., x = 8, hence, 4th consecutive even number is (x + 6) = 14. In statement II, it is given that sum of last two number's sum together is 26. The second last be = x. Then x + (x + 2) = 26, which gives x = 12, so the last = 14.