# Quantitative Aptitude: Data Sufficiency Set 2

**Directions (1-10): In each of the following questions, a question is followed by two statements numbered I and II. Read both the statements and answer accordingly. **

- What is the average speed of truck?

**Statement I:**Average speed of car is twice that of average speed of truck. Average speed of bus is 60 km/hr.

**Statement II:**Average speed of bus is two-third of average speed of train. The car can travel same distance in 3 hrs as bus can travel in 2 hrs.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- In how much time can pipe C empty the tank?

**Statement I:**Pipes A and B can fill half the tank in 4 hrs 30 minutes.

**Statement II:**Together with emptying pipe C, pipes A and B can fill the tank in 22 1/2 hrs.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- A, B and C invested Rs 52000 in a business in ratio 6 : 3 : 4 respectively. What is the profit % earned by them after a year?

**Statement I:**C got Rs 8000 as his share of profit.

**Statement II:**The difference in profits earned by A and B is Rs 6000.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- How much money did Yami borrow?

**Statement I:**If borrowed for 6 years at 6% rate of interest per annum, she has to give double interest as earlier.

**Statement II:**If the rate of interest per annum increases from 6% to 8% then she could borrow 25% less to give same amount of interest.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- What is the time taken by train to go from point A to point B?

**Statement I:**If the train increases its speed by 10%, then it reaches 20 mins earlier.

**Statement II:**If the train decreases its speed by 20%, then it reaches 45 mins late.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- If the selling price of an article is Rs 12000, then what is the profit/loss% on it?

**Statement I:**The ratio of the selling and price and cost price of the article is 4 : 3.

**Statement II:**The difference between the cost price and selling price of the article is Rs 2000

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- What is the ratio of ages of A to B?

**Statement I:**A’s age will be twice B’ age after 5 years.

**Statement II:**A’ s present age is 5 more than twice B’ present age.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- There are 5 people in a group. Average age of the group decreases by 4 when two more people join the group. Find the average age of the new group.

**Statement I:**Average age of the two people who joined later is 36 yrs.

**Statement II:**Total of the ages of people originally was 160 yrs.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- What is the rate of interest per annum on a sum of money invested?

**Statement I:**The difference between the compound interest and simple interest at the end of 2 years at same rate of interest is Rs 80.

**Statement II:**A compound interest of Rs 4912 is obtained after 3 years of investment.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.

- What is the two digit number?

**Statement I:**The difference between the digits of the two digit number is 6.

**Statement II:**The number obtained by interchanging the digits of original number is 26 more than twice the original number.

A) If the data in statement I alone is sufficient to answer the question.

B) If the data in statement II alone is sufficient to answer the question.

C) If the data either in statement I alone or statement II alone are sufficient to answer the question.

D) If the data given in both I and II together are not sufficient to answer the question.

E) If the data in both the statements I and II together are necessary to answer the question.