# Quantitative Aptitude: Data Sufficiency Questions Set 5

**Directions (1-4): 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 difference between Compound Interest and Simple Interest for 2 years is 300

**Statement II**: If the Compound Interest for 3 years at the rate of 10% is 3310

**Statement III**: If the sum becomes double in 32 years at Compound Interest?

A) Only I

B) Only II

C) II and III together

D) Only I or II

E) II and I or III

- What is the length of the train?

**Statement I**: If train can cross a platform in 35 second and a pole in 15 sec.

**Statement II**: If the speed of train is 70 kmph

**Statement III**: If the length of platform is 400 m

A) I and III together

B) I alone

C) I and II together

D) II and III together

E) Even all I, II, and III are not sufficient

- What will be the increase percent in volume?

**Statement I**: An ice cube is dip into 10 litre water

**Statement II**: If radius of a cylinder increases by 20% and height increases by 10%

**Statement III**: If the height of ice cube is 10 cm.

A) All I, II and III

B) II alone and I and III together

C) I and II together

D) II and III alone

E) II alone

- Find the increase percent in Cost Price to make Marked Price if

**Statement I**: A trader gain 25% on Cost Price

**Statement II**: A trader gain 20% on Selling Price

**Statement III**: A trader gain 20% on Cost Price after giving a discount of 20% on Marked Price

A) I and II Together

B) II and III Together

C) Only III

D) All I, II and III Together

E) None of these

**Directions (5-10): 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 ratio of milk and water in the mixture?

**Statement I**: If a trader earns a profit of 20%after adding water in milk and sold it at Cost Price.

**Statement II**: If a trader earns some profit after selling milk at Rs 25/Litre by adding water in it.

A) Only I

B) Only II

C) Either I or II

D) Neither I nor II

E) Both I and II

- What is the age of B?

**Statement I**: The ratio of present age of A and B is 3:5 and 4 years before A was 8 years younger than B

**Statement II**: 3 years ago the ratio of ages of A and B was 4:7 and 3 years hence the ratio will become 2:3

A) Only I

B) Only II

C) Either I or II

D) Neither I nor II

E) Both I and II

- What is the age of teacher?

**Statement I**: In a class of 20 students the average age of students is 21 and it increases to x if the age of teacher is included.

**Statement II**: In a class of 10 students the average age of students and teacher is 22 years

A) Only I

B) Only II

C) Either I or II

D) Neither I nor II

E) Both I and II

- What of the distance travelled?

**Statement I**: If a person covers a distance in 12 hour, covering the first half at 20 kmph and the second half at 30 kmph

**Statement II**: If a person covers a distance at 30 kmph. If her decreases his speed to 25 kmph he takes two more hour to reach the destination

A) Only I

B) Only II

C) Either I or II

D) Neither I nor II

E) Both I and II

- What will be the profit of A?

**Statement I**: A and B invested Rs 6000 and Rs 7000 respectively. A increases his investment by 50% after 6 months and their annual profit is Rs 3800

**Statement II**: A and B invested Rs 10,000 and Rs 12,000 respectively . If B doubles his investment after some months and their annual profit is Rs 2,000

A) Only I

B) Only II

C) Either I or II

D) Neither I nor II

E) Both I and II

- Find in how many days A alone can do the work?

**Statement I**: If A and B do a work together for 10 days and B left the work and A do the remaining work in 20 days.

**Statement II**: If A and B can do the work in 15 days

A) Only I

B) Only II

C) Either I or II

D) Neither I nor II

E) Both I and II