# Quantitative Aptitude: Data Sufficiency Set 1

**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 probability of getting two black socks from a drawer containing only black and red socks?

Statement I: There are total 36 socks in the drawer.

Statement II: The probability of the first sock being black is 1/6.

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 a concert in school, amount gathered by selling the tickets was Rs 60000 when all were of equal value. Each student got 1 ticket. What was the cost of 1 such ticket?

Statement I: If the price of each ticket had been Rs 50 less, the total amount gathered would have been 15000 less.

Statement II: If the price of each ticket had been Rs 50 more, the total amount gathered would have increased by 25%.

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 long did it take Priyanka to drive to her home?

Statement I: If she had driven twice as fast she would have taken 15 minutes.

Statement II: Her average speed was 40 km per hour.

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 man in still water?

Statement I: The speed of man in still water is three times the speed of the stream.

Statement II: In 20 minutes, the man can swim twice as far with the stream as he can against the stream.

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 was the profit earned by selling an article?

Statement I: The article was sold for Rs 950 after getting a discount of 5% on the labelled price.

Statement II: A profit of 2% is made on the labelled price in buying that article.

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 many people are travelling in the train?

Statement I: There are 25% women and 35% children passengers.

Statement II: There are 148 men passengers in the train.

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 will be the age of Rubi after 6 years?

Statement I: Ratio of age of Shiva and Rubi is 2 : 3.

Statement II: Twelve times the age of Shiva equals eight times the age of Rubi.

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 length of the train travelling at uniform speed?

Statement I: The train crossed another train of length 300 m moving in opposite direction in 24 seconds.

Statement II: The train crossed a bridge of length 650 m in 35 seconds.

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 man invested a sum of Rs 50,000. He invested some part at 6 % p.a. and remaining at 6.5% p.a. How much money did he invest at 6 % p.a.?

Statement I: The total interest amount paid after 1 year was Rs 3150

Statement II: The interest on one sum was twice that on the other.

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 total cost of painting a cone at the rate of 20 Rs per square metre?

Statement I: The radius and the slant height of the flask are 14 m and 12 m respectively

Statement II: The area of the base of cone is 154 sq. m and its height is 7 m.

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.