# Quantitative Aptitude: Data Sufficiency Questions Set 4

**Directions (1-5): In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.**

- What is the principal amount?

**Statement I:**The Simple Interest obtained on the principal after 2 years at 8% rate of interest is Rs 450 less than the compound interest obtained on the same principal after 2 years at 8% per annum.

**Statement****II**: The sum becomes double in 10 years at 6% per annum rate of simple interest.

**Statement III:**The compound interest obtained on the principal amount is Rs 4540 after 2 years at the rate of 8% compounded annually.

A) Only I

B) All I, II and III together

C) II and III together

D) Only I or III

E) I or II and III

- What is the speed of boat in still water?

**Statement I:**The boat can cover 12 km downstream distance in 2 hours.

**Statement II:**Speed of the stream is three-fourth the speed of boat in still water.

**Statement III:**The boat can cover 12 km upstream distance in 4 hours.

A) I and III together

B) Only II

C) I and II together

D) I and either II or III

E) Any combination of 2 statements can give the required result

- A person borrowed some money at compound interest for 2 years. What will be the amount required to return after 2 years?

**Statement I****:**If the amount was borrowed at simple interest, then after 5 years Rs 600 was required to pay as simple interest.

Statement II**:**The rate of interest is 6% per annum

**Statement III****:**The sum of money borrowed is 10 times the amount required to be paid as simple interest after 2 years.

A) II and I or III

B) Even all statements together cannot answer the question

C) II and III together

D) I and III together

E) All I , II and III

- Shopkeeper gained how much by selling his products in November 2016?

**Statement I****:**He earned 40% more profit in December 2016 as compared to October 2016.

Statement II**:**In December 2016 he earned 10% more profit than in November 2016.

**Statement III****:**The total profit earned in November 2016 and October 2016 was Rs 55,000.A) Only I and III

B) Only II and III

C) Only I and II

D) All I, II and III

E) Even all statements together cannot answer the question

- In how many days 6 men and 5 women can complete the work working together?

**Statement I****:**The ratio of efficiency of man to woman is 2 : 1

Statement II**:**9 Women can complete three-five of the work in 15 days.

**Statement III****:**6 Men and a child together can complete 1/4^{th}work in 12 days while 6 women and the child together can complete two-third of the work in 16 daysA) I and either II or III

B) Any combination of 2 statements can give the required result

C) Only I and II

D) All I, II and III

E) None of these

**Directions (6-10): 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 age of A in a group of 6 students – A, B, C, D, E and F who average age is 16 years?

**Statement I:**Total age of B and D is 30 years

**Statement II:**Total age of E and F is 31 years.

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 person lent Rs 5000. At what rate percent per annum he lent the money?

**Statement I****:**The difference between the simple interest and compound interest on same money is Rs 60.

Statement II**:**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 discount percent is offered on the article?

**Statement I****:**Profit earned by selling the article for Rs 230 after giving discount is Rs 30

Statement II**:**Had there been no discount the, 20% would be the profit.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 speed of the train?

**Statement I****:**The train another train running in the same direction in 12 minutes.

Statement II**:**The train crosses a signal in 8 minutes.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 sum of money is invested. What is the compound interest obtained after 2 years?

**Statement I****:**The different between the simple and compound interest on a sum of Rs 1200 is Rs 30 after 2 years

Statement II**:**The interest obtained after 1 year on Rs 1200 is Rs 100A) 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.