SBI PO (Prelims) Exam Paper - 2017 "Quantitative Aptitude"

SBI PO (Prelims) Exam Paper - 2017 "Quantitative Aptitude"

31. I.2x2-7x+6=0
II.y2-3y+2=0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or no relation can be established.

32. I.3x2+4x+1=0
II.y2+5y+6=0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or no relation can be established.

33. I.2x2+5x+2=0
II.y2+9y+20=0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or no relation can be established.

34. I. x2-7x+10=0
II. y2-12y+35=0

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or no relation can be established.

35. I. (x-12)2=0
II. y2 = 144

A. x < y

B. x > y

C. x ≤ y

D. x ≥ y

E. x = y or no relation can be established.

36. Direction: What will come in place of the question mark (?) in the following number series?
14, 8, 9, 14.5, 30, ?

A. 72

B. 73

C. 74

D. 75

E. 76

37. Direction: What will come in place of the question mark (?) in the following number series?
77, 85, 69, 101, 37, ?

A. 105

B. 125

C. 145

D. 165

E. 185

38. In the following number series, one number is missing. What should come at the place of missing number (?)
20, 29, 54, 103, 184, ?

A. 301

B. 302

C. 303

D. 304

E. 305

39. Direction: What will come in place of the question mark (?) in the following number series?
7, 8, 18, 57, ?, 1165

A. 212

B. 217

C. 232

D. 247

E. 275

40. Direction: What will come in place of the question mark (?) in the following number series?
5, 7, 18, 47, 103, ?

A. 155

B. 175

C. 195

D. 215

E. 235

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41. Direction: What should come in place of question mark (?) in the following question? (You do not have to calculate the exact value.)

13.032+?+21.992×4.012=298.998

A. 12

B. 42

C. 92

D. 132

E. 172

42. Direction: What approximate value will come in place of the question mark (?) in the following question?

√33125 × √2600 -(83.01)2=(?)2+(36.99)2

A. 24

B. 39

C. 36

D. 28

E. 32

43. What approximate value will come at the place of question mark (?) in the following question?

√454+985-?2÷18.752=18.9001

A. 19

B. 18

C. 21

D. 25

E. 15

44. Directions: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)
7441 ÷34 × 12 = ? × 9 + 110

A. 420

B. 280

C. 590

D. 350

E. 220

45. Directions: What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)
5466.97-3245.01+1122.99=? + 2309.99

A. 1130

B. 1000

C. 1100

D. 1030

E. 1060

Direction (46-50): Study the following graph carefully to answer the question given below:
Given below is the demand and production of 6 brands (in units) of a product in the year 2016.

46. If the demand for brand C product increase by 75% then to meet the demand production should be increased by what percent?

A. 32.65%

B. 48.48%

C. 57.14%

D. 31.25%

E. None of these

47. Brand A increase its production to meet its demand. With every 160 unit produced the brand increases its price by 10%. If the earlier price of one product was INR 5000 then find the new price of the product.

A. INR 5500

B. INR 6655

C. INR 7320.5

D. INR 8052.55

E. Cannot be determined

48. The demand for brand D product fell. The new demand is 20% less than its production. Find by what percentage demand fell?

A. 28%

B. 30%

C. 38.88%

D. 72%

E. 32%

49. Brand B decreased its price of the product to meet its demand to its production. When the price decreased by 12% the demand increased by 25%. If the ratio between the new price and new demand is 11:20 then find the price of the product before the decrease.

A. INR 2500

B. INR 2300

C. INR 2200

D. INR 2000

E. INR 2800

50. The production of brand E and F took together is approx. what percent of total demand of E and F?

A. 81%

B. 21%

C. 123%

D. 121%

E. 23%

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51. Ratio between height of 2 cylinder is in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius.

A. 1/2

B. 2/3

C. 3/4

D. 4/5

E. None of these

52. B is 20% efficient than A. B started the work & do it for x days. And then B is replaced by A. And A completed the remaining work in x+8 days. Ratio of work done by A & B is 3:2. In how many day A & B working together to complete the whole work?

A. 120/12

B. 150/11 days

C. 140/13 days

D. 100/33 days

E. 75/12 days

53. The time taken for covering ‘X’ Km by downstream is equal to 'X-18' by covering upstream. Upstream speed is 6 km/ hr less than that of downstream. If the speed of the boat in still water is 15 km/hr. What is the value of 'X'.

A. 51

B. 52

C. 53

D. 54

E. 55

54. A sum of Rs. 91,000 is borrowed at 20% per annum compounded annually. If the amount is to be paid in two years, the amount will be?

A. 1,20,000 Rs.

B. 1,25,760 Rs.

C. 1,27,526 Rs.

D. 1,31,040 Rs.

E. 1,34,034 Rs.

55. If an article is marked 40% above the cost price. If discount of x% is given on the marked price of the article then final profit of 12% is obtained. Now if CP of a new article is 120 Rs. and x% profit is desired then what should be the selling price of that new article?

A. 140

B. 142

C. 144

D. 146

E. 148

56. A, B and C started a business and invested in the ratio of 3:4:5. After 4 months, A withdrew 1/12th amount of what B and C invested. If the annual income was 9200, then what was the share of B?

A. 3280

B. 3480

C. 3200

D. 3880

E. 4080

57. In a 40 litres mixture acetic acid and sodium acetate are in the ratio 3:1,find the amount of sodium acetate solution to be added to make the ratio 2:3.

A. 40 litres

B. 20 litres

C. 15 litres

D. 30 litres

E. 35 litres

58. Radhika has two daughters by name Rinku and Sindhu. The ratio of the age of Radhika and Rinku is 3:1 and that of Rinku and Sindhu is 8:5. Given that Rinku is six years elder to Sindhu. Find the ratio of their ages after 12 years.

A. 29:15:12

B. 30:14:10

C. 29:14:11

D. 30:14:11

E. 30:13:11

59. Three years ago the average age of Mohan’s family having 5 members was 17 years. Mohan becomes father but the average age of his family is same today. What is the present age of baby?

A. 1 year

B. 2 years

C. 3years

D. 4 years

E. 5 years

60. Out of 12 persons, 11 spend Rs.2000 monthly each. The twelfth person spends Rs.110 more than the average spending of the 12 people. How much money does the twelfth person spend?

A. Rs.2200

B. Rs.2120

C. Rs.3300

D. Rs.1800

E. Rs.2010

Direction (61-65): Read the following information carefully and answer the questions given below.

61. Find the average of the number of female in all the colleges except college C and E?

A. 672.8

B. 683.5

C. 750

D. 753.5

E. 602.8

62. Find the average difference between the number of male and female students in all the colleges?

A. 312.833

B. 314.60

C. 313

D. 314.50

E. None of these

63. The number of female students in college C is what approx. percent of the number of male students of college A?

A. 70%

B. 72%

C. 74%

D. 76%

E. 77%

64. Out of total female in college E, 30% are in Arts department which is 35% of the total students in Arts department. Find out approximately how much percent of male students from E are in Arts department?

A. 20%

B. 22%

C. 19%

D. 23%

E. 25%

65. Find the ratio of 2/3rd of college B male students and female students of college F.

A. 29: 11

B. 29: 33

C. 33: 29

D. 29: 22

E. 22: 29

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