**IDBI Executives Officers Examination Held on 11-7-2015**

**Quantitative Aptitude**

**Directions – **(Q. 1 to 10) Each of the questions below consists of a question and two statements I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Give answer-

(A) The data in statement I alone are sufficient to answer the question while II alone are not sufficient to answer the question.

(B) Data in statement II alone are sufficient to answer the question while data in statement I alone are not sufficient to answer the question.

(C) The data in statement I alone or in statement II alone are sufficient to answer the question.

(D) The data in both statements I and II are not sufficient to answer the questions.

(E) The data in both statements I and II are sufficient to answer the question.

1. What is the area of the circle ?

I. Perimeter of the circle is 88 cms.

II. Diameter of the circle is 28 cms.

2. What is the rate of interest ?

I. Simple interest accrued on an amount of Rs. 25,000 in two years is less than the compound interest for the same period by Rs. 250.

II. Simple interest accrued in 10 years is equal to the principal.

3. What is the number of trees planted in the field in rows and columns ?

I. Number of columns is more than the number of rows by 4.

II. Number of trees in each column is an even number.

4. What is the speed of the current ?

I. A man can swim a distance of 9 kms. in downstream.

II. While coming back upstream it takes him 3 hrs to cover the same distance.

5. What is the minimum passing percentage in a rest ?

I. Raman scored 25% marks in the test and Sunil scored 288 marks which is 128 more than Raman.

II. Raman scored 64 marks less than the minimum passing marks.

6. What is the value of x^{2} + y + z = ?

I. 4x + 3y + 5z = 60 and 2x = y, 2y = z

II. 3x + 3y + 2z = 34 and 2x + 5y + 6z = 72.

7. Whose body weight is second highest among the five boys Arun, Vinay, Suraj, Raju and Pratap?

I. Average weight of Arun, Suraj and Vinay is 68 kg and average weight of Raju and Pratap is 72 kg. Also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg.

II. Average weight of Arun, Suraj, Vinay and Raju is 68 kg and also Suraj is 78 kg. Raju is 68 kg and Vinay is 46 kg. All of them have different weight.

8. What will be the total marks of Subodh in physics ?

I. The average marks of Subodh in History, Geography and Chemistry are 75.

II. His average marks in History, Geography and Physics are 78.

9. What is the population of the city A ?

I. The ratio of the population of males and females in city A is 27 : 23 and the difference between their population is 100000.

II. The population of city A is 80% of that of city B. The difference of population of city A and city B is 312500.

10. How many students did participate in elocution ?

I. The students who participate in dancing were 150% more than th at who participated in elocution.

II. 150 students participated in dancing.

**Directions – **(Q. 11 to 15) Study the following graph carefully and answer the questions given below it.

11. Expenditure of company B in 2009 and 2010 are Rs 12 lakhs and Rs 14.5 lakhs respectively. What was the total income of company B in 2009 and 2010 together (in lakh rupees) ?

(A) 39.75

(B) 37.95

(C) 38.75

(D) 38.55

(E) None of the above

12. Ratio of expenditures of company A and B in 2012 was 3 : 4 respectively. What was the respective ratio of their incomes in 2012 ?

(A) 21 : 26

(B) 13 : 14

(C) 14 : 13

(D) 26 : 21

(E) None of these

13. Total expenditure of company A in all the years together was 82.5 lakhs. What was the total income of the company A in all the years together ?

(A) 1.23 crores

(B) 98.75 crores

(C) 99.85 crores

(D) Cannot be determined

(E) None of these

14. If the expenditure of company A and B in 2013 were equal and the total incomes of t he two companies was Rs 5.7 lakhs. What was the total expenditure of the two companies in 2013 ?

(A) 4 lakhs

(B) 2 lakhs

(C) 4.2 lakhs

(D) Cannot be determined

(E) None of these

15. If the income of company B in 2010 and 2011 were in the ratio of 2 : 3 respectively. What was the respective ratio of expenditures of that company in these two years ?

(A) 20 : 29

(B) 9 : 10

(C) 29 : 45

(D) 10 : 29

(E) None of these

**Directions – **(Q. 16 to 20) Study the pie-charts carefully to answer the given questions.

16. Number of girls enrolled in dancing activity are what per cent of total number of students enrolled in the school ? (rounded off to two digits after decimal)

(A) 12.35

(B) 14.12

(C) 11.67

(D) 10.08

(E) None of these

17. How many boys are enrolled in Singing and Craft together ?

(A) 505

(B) 610

(C) 485

(D) 420

(E) None of these

18. What is the respective ratio of number of girls enrolled in swimming to the number of boys enrolled in swimming ?

(A) 47 : 49

(B) 23 : 29

(C) 29 : 23

(D) 49 : 47

(E) None of these

19. What is the total number of girls enrolled in Swimming and Drawing together ?

(A) 480

(B) 525

(C) 505

(D) 495

(E) None of these

20. What is the appropriate percentage of boys in the school ?

(A) 34

(B) 56

(C) 28

(D) 50

(E) None of these

**Directions – **(Q. 21 to 30) In each question, two equations numbered I and II are given. You have to solve both the equations and mark an appropriate answer-

21. I. 6x^{2} + 5x + 1 = 0

II. 15y^{2} + 8y + 1 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

22. I. x^{2} + 5x + 6 = 0

II. 4y^{2} + 24y + 35 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

23. I. 2x^{2} + 5x + 3 = 0

II. y^{2} + 9y + 14 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

24. I. 88x^{2} – 19x + 1 = 0

II. 132y^{2} – 23y + 1 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

25. I. 6x^{2} – 7x + 2 = 0

II. 20y^{2} – 31y + 12 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

26. I. 6x^{2} + 23x + 20 = 0

II. 6y^{2} + 31y + 35 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

27. I. x^{2} = 81

II. y^{2} – 18y + 81 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

28. I. 4x^{2} + 20x + 21 = 0

II. 2y^{2} + 17y + 35 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

29. I. x^{2} – 14x + 48 = 0

II. y^{2} + 6 = 5y

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

30. I. 38x^{2} – 3x – 11 = 0

II. 28y^{2} + 32y + 9 = 0

(A) x < y

(B) x > y

(C) x ≥ y

(D) x ≤ y

(E) relationship between x and y cannot be established

31. Two men P and Q star a journey from same place at a speed of 3 km/hr and If they move in the same direction then what is the distance between them after 4 hours ?

(A) 3 km

(B)

(C) 2 km

(D)

(E) None of these

**Directions – **(Q. 32 to 35) What will come in place of question mark (?) in the given questions ?

32. 14 × 627 ÷ √1089 = (?)^{3} + 141

(A) 5√5

(B) (125)^{3}

(C) 25

(D) 5

(E) None of these

33.

(A) 2

(B) 8

(C) 512

(D) 324

(E) None of these

34. (√7 + 11)^{2} = (?)^{1/3} + 2√847 + 122

(A) 36 + 44√7

(B) 6

(C) 216

(D) 36

(E) None of these

35.

(A) 6320

(B) 6400

(C) 6350

(D) 6430

(E) 7800

**Directions – **(Q. 36 to 40) What will come in place of question mark (?) in the given number series ?

36. 28 39 63 102 158 ?

(A) 232

(B) 242

(C) 233

(D) 244

(E) None of these

37. 7 16 141 190 919 ?

(A) 1029

(B) 1017

(C) 1020

(D) 1030

(E) None of these

38. 12 17 32 57 92 ?

(A) 198

(B) 195

(C) 137

(D) 205

(E) None of these

39. 19 25 45 87 159 ?

(A) 254

(B) 279

(C) 284

(D) 269

(E) None of these

40. 83 124 206 370 698 ?

(A) 1344

(B) 1324

(C) 1364

(D) 1334

(E) None of these

**Directions – **(Q. 41 to 47) Study the table carefully and answer the given question-

41. What is the difference between the number of academic books published by publishing house M and P ?

(A) 450

(B) 640

(C) 540

(D) 504

(E) None of these

42. How many books are given to each distributor by publisher Q if each publisher gets equal number of books ?

(A) 1806

(B) 1068

(C) 1608

(D) 1308

(E) None of these

43. What is the average number of non-academic books published by publishers R and S ?

(A) 18750

(B) 18850

(C) 19950

(D) 18950

(E) 19990

44. If the total number of books published by publishers P, Q and R is increased by 30% and the total number of books published by remaining publishers be decreased by 20%, what will be the new average of books published by all the publishers ?

(A) 33418

(B) 33318

(C) 32518

(D) 33618

(E) None of these

45. What is the total number of books distributed by publishers O and Q ?

(A) 26702

(B) 27324

(C) 55026

(D) 54026

(E) None of these

46. Meena Kumari goes to a shop and buys a saree, costing Rs 5,225, including sales tax of 12%. The shopkeeper gives her a discount, so that the price is decreased by an amount equivalent to sales tax. The price is decreased by (nearest value)-

(A) Rs 615

(B) Rs 650

(C) Rs 560

(D) Rs 580

(E) Rs 680

47. Phanse invests an amount of Rs 24,200 at the rate of 4 p.c.p.a. for 6 years to obtain a simple interest later he invests the principal amount as well as the amount obtained as simple interest for another 4 years at the same rate of interest. What amount of simple interest will be obtained at the end of the last 4 years ?

(A) Rs 4,800

(B) Rs 4,850.32

(C) Rs 4,801.28

(D) Rs 4,700

(E) Rs 4,870.32

**Directions – **(Q. 48 and 49) These questions are based on the following information :

** **There are three different cable channels namely ahead, luck and bang. In a survey, it was found that 41% of viewers, respond to bang, 35% to luck and 60% to ahead. 27% of viewers respond to exactly two channels and 3% to none.

48. What percentage of the viewers responded to all three ?

(A) 40

(B) 6

(C) 9

(D) 12

(E) 11

49. Assuming 16% respond to ahead and bang and 14% respond to bang and luck. What is the percentage of viewers who watch only luck ?

(A) 10

(B) 8

(C) 12

(D) 18

(E) 14

50. A milkman mixes 20 L of water with 80 L of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk ?

(A) 2 : 3

(B) 1 : 2

(C) 1 : 3

(D) 2 : 1

(E) 3 : 4

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