# Quantitative Aptitude: Data Sufficiency Set 3

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

- A and B are two numbers. What is the ratio of A/B

**Statement I****:**Their average is 5/2 times B

Statement II**:**Their sum is 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.

- Average age of employees working in Bank is 30 years. Next year, 10 workers will retire. What will be the average age next year?

**Statement I****:**There are 90 employees in bank

Statement II**:**Retirement age is 60 year

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.

- Fine the average of 7 consecutive odd numbers.

**Statement I****:**The 5^{th}number exceeds the 1^{st}number by 8.

Statement II**:**The 4^{th}number is three times the first 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.

- What is the difference between present ages of Amit and Sumit ?

**Statement I****:**The ratio of the present age of Amit to that of Sumit six years ago is 2 : 1.

Statement II**:**The ratio of the present age of Amit and Sumit is 4 : 3.

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 profit earned by selling an article for Rs. 900?

**Statement I****: 25% of profit would have been earned if it had been sold for Rs. 750.**

Statement II**:**Selling price is 300% of the profit earned.

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.

**Directions (6-10): 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 measure of the diagonal of a rectangle?

**Statement I****:**Length of the rectangle is 9 metre

Statement II**:**Area of the rectangle is 72 square metre

**Statement III****:**Breadth of the rectangle is 8 metre

A) All I, II and III

B) Only I and II

C) Any two of the three

D) Only II

E) Only II and III

- A shopkeeper sells a homogeneous mixture of X and Y at a rate of Rs 400 per kg. Find the profit percentage of the shopkeeper

**Statement I****:**He brought X at the rate of Rs 350 per kg

Statement II**:**

Statement III**:**He brought Y at the rate of Rs 420 per kg

A) Only I and II

B) Only I and III

C) Any two of the three

D) All three together are sufficient

E) I , II and III together are not sufficient

- How many students are there in all in the institute of Computer, Electrical and Mechanical ?

**Statement I****:**20% of the students study Mechanical.

Statement II**:**The number of students studying Computer and Electrical are in the ratio of 5:3.

Statement III**:**The number of students studying Electrical is more than that of studying Mechanical by 100.

A) Only II and III

B) III and either I or II only

C) Any two of the three

D) All I, II and III

E) Question cannot be answered even with the information in all the three statements

- What is the speed of the train ?

**Statement I****:**The train crosses 300 metres long platform in 45 seconds.

Statement II**:**The train crosses another stationary train of same length in 60 seconds.

Statement III**:**The train crosses a signal pole in 30 seconds.

A) Only III and either I or II

B) Any two of the three

C) Only II and either I or III

D) Only I and II

E) Only I and either II or III

- What is the cost of flooring a rectangular hall?

**Statement I****:**The ratio of length and breadth of the hall is 5:4.

Statement II**:**The length of the hall is 50 metres and the cost of flooring is Rs. 1000 per square metre.

Statement III**:**The perimeter of the hall is 180 metres and the cost of flooring is Rs. 1000 per square metre.

A) Only I and II

B) Only II and III

C) Any two of the three

D) Only I and III

E) I and either II or III