**Directions (Q. 1-5): Read the following information carefully to answer the questions given below:**

In a college, 150 students of MBA are enrolled. The ratio of boys to girls is 7 : 8. There are three disciplines, namely Marketing, HR and Finance, in the college. In Marketing discipline there are 50% girls of their total number and the boys are 40% of their total number. In HR discipline, girls are 30% of their total number while boys are 30% of their total number. Finance discipline has girls 20% of their total number and the boys are 30% of their total number. 7 boys and 9 girls are in HR and Marketing both. 6 boys and 7 girls are in HR and Finance both. 5 boys and 8 girls are in Marketing and Finance both. 2 boys and 3 girls are enrolled in all three disciplines.

**1. What percentage of students are enrolled in all three disciplines?**

1) 3.3%

2) 7.2%

3) 8.5%

4) 9.32%

5) None of these

**2. What is the ratio of boys to girls only in Marketing discipline?**

1)13 : 9

2) 9 : 13

3) 9 : 11

4) 11 : 9

5) None of these

**3. The ratio of the number of boys in Marketing and Finance both to that of girls only in Finance is**

1 ) 5 : 3

2) 3 : 5

3) 5 : 4

4) 4 : 7

5) None of these

**4. By what per cent is the number of boys in Marketing discipline more than the number of girls in HR discipline?**

1) 131/3%

2) 331/3%

3) 142/3%

4) 162/3%

5) None of these

**5. The ratio of boys to girls enrolled only in HR discipline is**

1) 10 : 11

2) 9 : 10

3) 7 : 5

4) 5 : 7

5) None of these

**Directions (Q. 6-10): Each of the following questions consists of a question followed by three statements I, II and III.**You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

**6. What is the speed of a boat in still water?**

I. The boat covers 12 km in 2 hours downstream.

II. The boat covers the same distance in 4 hours upstream.

III. The speed of the stream is one-third that of the boat in still water.

1) Both I and II

2) I and either II or III

3) All I, II and III

4) The question cannot be answered even with the information in all three statements.

5) None of these

**7. What is the speed of a train?**

I. The length of the train is 240 metres.

II. The train crosses a pole in 24 seconds.

III. The train crosses a platform in 48 seconds.

1) Both I and III

2) Both I and II

3) Both II and III

4) Any two of the three

5) None of these

**8. What is the age of a class teacher ?**

I. There are 11 students in the class.

II. The average age of the students and the teacher is 14 years.

III. The average age of the teacher and the students is 3 years more than that of the students.

1) Both I and III

2) Both I and II

3) II and either I or III

4) All I, II and III

5) None of these

**9. Sri Gupta borrowed a sum at compound interest. What is the amount returned in 2 years ?**

I. The rate of interest is 5% per annum.

II. The simple interest incurred on the sum in 1 year is `600.

III. The borrowed sum is ten times the amount earned at simple interest in two years.

1) Only I

2) Only III

3) Both II and III

4) Either I or III

5) All I, II and III

**10. What is the area of a given right-angled triangle?**

I. The length of the hypotenuse is 5 cm.

II. The perimeter of the triangle is four times that of its base.

III. One of the angles of the triangle is 60°.

1) Only II

2) Only III

3) Either II or III

4) Both I and III

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

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