# Quantitative Aptitude

**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 Financeis**

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) 13^{1}⁄_{3} %

2) 14^{1}⁄_{3} %

3) 14^{2}⁄_{3} %

4) 16^{2}⁄_{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

**Directions (Q. 11 - 15)**

**Study the following graph carefully to answer the questions given below:**

**Number of selected employees in different grades/ ranks by three companies during 2012**

**11. What is the average number of selected employees by Company A in all grades taken together?**

1) 450

2) 460

3) 475

4) 375

5) None of these

**12. What is the ratio of selected employees for the post of Assistant IT Managers by Companies A, B and respectively?**

1) 8 : 10 : 11

2) 10 : 8 : 11

3) 11 : 10 : 8

4) 10 : 11 : 8

5) None of these

**13. By what per cent is the number of selected employees for Finance Managers by Company C more than that of the selected employees by Company B for the same post?**

1) 35%

2) 30%

3) 25%

4) 40%

5) None of these

**14. What is the average number of selected employees for the post of Assistant Marketing Managers by all companies taken together?**

1) 570

2) 520

3) 620

4) 720

5) None of these

**15. What is the ratio of selected employees for IT Managers by all Companies A, B and C?**

1) 6 : 4 : 7

2) 5 : 3 :7

3) 4 : 7 : 9

4) 8 : 7 : 6

5) None of these

**Directions (Question.16)**

**16. Three men A, B and C start a business together. They invest `30000, `24000 and `42000 respectively in the beginning. After 4 months, B took out `6000 and C took out `10000. They get a profit of `11960 at the end of the year. B’s share in the profit is**

l) 2700

2) 2803

3) 2900

4) 2785

5) None of these

**Directions (Question.17)**

**17. The edge of an ice cube is 14 cm. The volume of the largest cylindrical ice cube that can be formed out of it is**

1) 2200 cu cm

2) 2000 cu cm

3) 2156 cu cm

4) 2400 cu cm

5) None of these

**Directions (Question.18)**

**18. A sum of `16800 is divided into two parts. One part is lent at the simple rate of interest 6% per annum and the other at 8% per annum. After 2 years the total sum received is `19000. The sum lent at the rate of 6% simple interest is**

1) 12200

2) 12000

3) 11000

4) 10000

5) None of these

**Directions (Question.19)**

**19. The present age of Romila is one-fourth that of her father. After 6 years the father’s age will be twice the age of Kapil. If Kapil celebrated fifth birthday 8 years ago, what is Romil’s present age?**

1) 7 years

2) 7.5 years

3) 8 years

4) 8.5 years

5) None of these

**Directions (Question.20)**

**20. In an examination, 30% of the total students failed in Hindi, 45% failed in English and 20% failed in both the subjects. Find the percentage of those who passed in both the subjects.**

1) 35.7%

2) 35%

3) 40%

4) 45%

5) 44%

**Directions (Q. 21-25)**

**The following questions are based on the pie-charts given below:**

**Percentage-wise distribution of students studying in Arts and Commerce in seven different institutions
Different institutions – A, B, C, D, E, F and G Total number of students studying Arts = 3800
Percentage-wise distribution of students studying in Arts and Commerce in seven different institutions Different institutions – A, B, C, D, E, F and G**

**Total number of students studying Arts = 3800**

**Total number of students studying Commerce = 4200**

**21. What is the total number of students studying Arts in Institutes A and G together?**

1) 1026

2) 1126

3) 1226

4) 1206

5) 1306

**22. How many students from Institute B study Arts and Commerce?**

1) 1180

2) 1108

3) 1018

4) 1208

5) 1408

**23. The ratio of the number of students studying Arts to that studying Commerce in Institute E is**

1) 27 : 14

2) 19 : 27

3) 19 : 16

4) 19 : 28

5) None of these

**24. The ratio of the number of students studying Arts in Institute E to that studying commerce in Institute D is**

1) 12 : 17

2) 12 : 7

3)19 : 21

4) 17 : 19

5) None of these

**25. How many students in institutes B and D together study commerce?**

1) 1320

2) 1302

3) 1202

4) 1220

5) None of these

**Directions (Q. 26-30)**

**In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer**

1) if x < y 2) if x > y

3) if x = y

4) if x ≥ y5) if x ≤ y or no relationship can be established between x and y.

**26. I. x ^{2} – 24x + 144 = 0 II. y^{2} – 26y + 169 = 0**

**27. I. 2x ^{2} + 3x – 20 = 0 II. 2y^{2} +19y + 44 = 0**

**28. I. 6x ^{2} + 77x + 121 = 0 II. y^{2} + 9y – 22 = 0**

**29. I. x ^{2} – 6x = 7 II. 2y^{2} + 13y + 15 = 0**

**30. I. 10x ^{2} – 7x + 1 = 0 II. 35y^{2} – 12y + 1 = 0**

**Directions (Q. 31-35)**

**Study the following table carefully to answer these questions. Percentage of marks obtained by six students in six different subject**

**31. What is the approximate integral percentage of marks obtained by Umesh in all the subjects?**

1) 80%

2) 84%

3) 86%

4) 78%

5) 77%

**32. What is the average percentage of marks obtained by all students in Hindi ? (approximated to two places of decimal)**

1) 77.45%

2) 79.33%

3) 75.52%

4) 73.52%

5) None of these

**33. What is the average marks of all the students in Mathematics?
1) 128
2) 112
3) 119
4) 138
5) 144**

**34. What is the average marks obtained by all the students in Geography?**

1) 38.26

2) 37.26

3) 37.16

4) 39.16

5) None of these

**35. What is the total marks obtained by Ritesh in all the subjects taken together?**

1) 401.75

2) 410.75

3) 402.75

4) 420.75

5) None of these

**Directions (Q. 36-40)**

**What value will come in place of question mark(?) in the following questions? (You are not expected to calculate the exact value)**

**36. 21 + 3.9 × 2.9 + **8.99 = ?

1) 42

2) 46

3) 44

4) 34

5) 36

**37. 22.9889 ÷ ? = 23**

1) 23

2) 1

3) 232

4) 24

5) None of these

**38. = ?**

1) 1000

2) 100

3) 1000.001

4) 10000

5) 999

**39. 134% of 3894 + 38.94 of 134 = ?**

1) 11452

2) 10000

3) 10452

4) 1100

5) None of these

**40. 103 × 1003 + 999999999 = 10? + 10?**

1) 6

2) 9

3) 7

4) 10

5) 12

**Directions (Q. 41-45)**

**Study the following bar diagram and table carefully to answer the questions. Number of employees working in five different companies A B C D and D.**

**41. What is the number of male employees, taking all the companies together?**

1) 2084

2) 2048

3) 2064

4) 2046

5) 2066

**42. What is the approximate average number of female employees, taking all the companies together ?**

1) 340

2) 315

3) 335

4) 325

5) 321

**43. By what per cent is the number of male employees working in Company A and C more than that of female employees working in Company B and D?**

1) 164

2) 146

3) 144

4) 154

5) 184

**44. What is the ratio of female employees working in Company D and E respectively?**

1) 17 : 22

2) 22 : 17

3) 15 : 22

4) 22 : 15

5) None of these

**45. By what per cent is the number of total employees of Company C more than that of Company D?**

1) 12.5%

2) 16.5%

3) 21%

4) 20%

5) 16%

**Directions (Q. 46-47)**

**Study the following diagram to answer the questions.**

**46. If the diameter of each circle is 14 cm and DC = CE, the area of ΔBDE is**

1) 784 sq cm

2) 748 sq cm

3) 874 sq cm

4) 441 sq cm

5) None of these

**47. The area of the shaded region of square ABCD is**

1) 186 sq cm

2) 168 sq cm

3) 188 sq cm

4) 441 sq cm

5) None of these

**Directions (Question.48)**

**48. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2**

^{1}⁄_{3}hours to fill the tank. The leak can drain all the water of the tank in

1) 4^{1}⁄_{3} 4 hours

2) 7 hours

3) 8 hours

4) 14 hours

5) None of these

**Directions (Question.49)**

**49. A person travels from P to Q at a speed of 40 kmph and returns to Q by increasing his speed by 50%. What is his average speed for both the trips?**

1) 36 kmph

2) 45 kmph

3) 48 kmph

4) 50 kmph

5) None of these

**Directions (Question.50)**

**50. A shopkeeper sells two watches for `308 each. On one he gets 12% profit and on the other 12% loss. His profit or loss in the entire transaction was**

1) 1

^{11}⁄

_{25}% loss

2) 1

^{11}⁄

_{25}% gain

3) 3

^{2}⁄

_{25}% loss

4) 3

^{2}⁄

_{25}% gain

5) None of these