model paper · directions: (11 – 15) study the information and answer the following questions:...
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Directions: (1 – 5) In each of the question, relationships between some elements are shown in the statements. These statements are followed by conclusions numbered I and II. Read the statements and give the answer.
(1) If only conclusion I follows. (2) If only conclusion II follows. (3) If either conclusion I or II follows. (4) If neither conclusion I nor II follows. (5) If both conclusions I and II follow. 1. Statements : U > S = P; N < M ≤ P; Z ≥ M ≥ X Conclusions : I. X > U II. Z > N 2. Statements : A ≤ B = C ≤ D; F ≥ G ≥ D; F < K Conclusions : I.K > B II. G ≤ A 3. Statements : Z < Y ≥ X; W > V ≥ Y = U; W ≥ T Conclusions : I. T > Z II. X ≥ V 4. Statements : P ≥ V ≥ O = M; K ≤ L ≤ O = E Conclusions : I. K ≤ V II. E = M 5. Statements : Q ≥ N = S ≥ P; R ≤ C ≤ P ≤ D Conclusions : I. R < S II. N = R
Directions: (6 – 10) Study the following information carefully to answer the given questions.
Eight friends P, Q, R, S, T, U, V, and W are sitting around a square table in such a way that four of them sit at four corners while four sits in the middle of each of the four sides. The one who sit at the four corners face the center while those who sit in the middle of the sides face outside (Opposite to the center). V sits second to the right of R. R sits in the middle of one of the sides of table. Only two people sit between V and Q. S is one of the immediate neighbors of Q. T sits second to the left of S. P sits second to the left of U. V is not an immediate neighbor of U. 6. How many people sit between R and T when counted from the right of R?
(1) None (2) Four (3) One (4) Three (5) Two 7. Which of the following is true regarding P?
(1) Both T and R are immediate neighbors of P (2) Only three people sit between P and S. (3) P sits at middle of one of the sides (4) W sits second to the left of P (5) None of the given options is true.
8. What is the position of V with respect to Q? (1) Second to the left (2) Third to the left (3) Second to the right (4) Fifth to the right (5) Fifth to the left.
9. Four of the following five are alike in a certain way and so form a group. What is the one that does not belong to that group? (1) Q (2) T (3) S (4) R (5) V
10. Who sits second to the left of W? (1) T (2) U (3) V (4) S (5) Q
Directions: (11 – 15) Study the information and answer the following questions:
Eight boxes M, N, O, P, Q, R, S and T are placed one above the other but not necessarily in the same order. All boxes contain different number of coins viz. 5, 18, 25, 30, 35, 48, 50 and 60 (not necessarily in the same order).
Three boxes are placed between box O and box M, which contains 48 coins. N contains 50 coins and is placed immediately above O. There is only one box which is placed between box N and box Q, which contains 60 coins. Box P contains 5 coins and it is placed somewhere below box S. Only two boxes are placed between box S and box T, which contains 25 coins. The box which contains 50 coins is not placed below the box which contains 48 coins. Box S is not placed at an odd numbered position when counted from bottom to top. Box S has less coins than box T. The box which contains highest number of coins is not placed on top. The box which contains least number of coins will not be placed at the bottom. Box R contains more coins than box O. The box which contains 35 coins will not be placed on top. 11. How many boxes are placed between box P and box S?
(1) None (2) One (3) Two (4) Three (5) More than three 12. Box which is placed at the bottom contains how many coins?
(1) 30 (2) 35 (3) 18 (4) 25 (5) None of these 13. Which among the following boxes is placed at the top?
(1) Box R (2) Box N (3) Box O (4) Box P (5) None of these 14. Which box is placed immediately above the box which contains 35 coins?
(1) Box O (2) Box S (3) The box which contains 50 coins (4) The box which contains 60 coins (5) None of these 15. How many coins did Box O contains?
(1) 18 (2) 30 (3) 35 (4) 25 (5) Can’t be determined
TEST - I: REASONING
IBPS RRB Office Scale-I Preliminary
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Directions: (16 – 20) Study the following information carefully and answer the questions given below:
In a certain code language: ‘water is boiling’ is coded as ‘si bi wi’ , ‘scarcity of water’ is coded as ‘wi fo ty’ , ‘time is precious ’ is coded as ‘tm si ps’
‘save time’ is coded as ‘vs tm’ 16. What is the code for ‘precious water’?
(1) wi si (2) ps si (3) ps wi (4) wi tm (5) None of these 17. What is the code for ‘time’?
(1) tm (2) ty (3) vs (4) si (5) Can’t be determined 18. ‘bi’ is denoted as?
(1) is (2) water (3) boiling (4) save (5) None of these 19. What is the code for ‘scarcity’?
(1) fo (2) tm (3) ty (4) Either (1) or (2) (5) Can’t be determined 20. If ‘fun of’ is coded as ‘nf fo’, then ‘face scarcity’ can be coded as?
(1) fo ce (2) ty vs (3) tm ty (4) ty cf (5) ps fo
Directions: (21 – 22) Study the following information and answer the given questions
In a park J, K, L, M and N are playing a game. All are facing north. K is 50m to the right of M. J is 70m to the south of K. L is 50m to the west of M. N is 95m to the north of J. 21. Who among the following is to the southeast of the person who is to the left of M?
(1) J (2) K (3) L (4) N (5) Can’t be determined 22. If a kid walks from L, meets K followed by J and then N, how many metres does he walk if he travels the straight line distance all through?
(1) 195m (2) 235m (3) 210m (4) 265m (5) 170m
Directions: (23 – 25) Study the following information and answer the given questions.
In a family of seven members there are four female members. T is the mother of M. P is the brother of M. G is grandfather of P. H is mother-in-law of T. V is brother of S, who is sister-in-law of T. 23. How is H related to P?
(1) Mother (2) Grandmother (3) Sister (4) Sister-in-law (5) None of these 24. How is M related to S?
(1) Niece (2) Nephew (3) Brother (4) Either (1) or (2) (5) None of these 25. How is V related to G?
(1) Son (2) Father (3) Brother (4) Father-in-law (5) None of these
Directions: (26 – 30) Study the information and answer the following questions:
Ten persons A, B, C, D, E, F, G, H, I and J are sitting in a row some are facing north and some are facing south (but not necessarily in the same manner).
(Note: Facing the same direction means if one is facing north then the other also faces north and vice versa. Facing opposite direction means if one is facing north then the other faces south and vice versa).
Six persons sit between A and D and none of them sits at any end of the row. Both A and D faces same direction. Two persons sit between E and D. I sits fourth to the left of E. Only one person sit between H and I. C sits to the immediate left of H. G and B are not the immediate neighbors of A. Persons sitting at the end face opposite directions. Immediate neighbors of D face same direction as D. Two persons sit between J and G. F faces north. G and B face same direction as J. Immediate neighbors of E face opposite direction. The number of person facing south is not equal to the number of person facing north. 26. Who among the following sits to the immediate left of B?
(1) G (2) E (3) I (4) A (5) None of these 27. How many persons sit between F and H?
(1) None (2) One (3) Two (4) Three (5) More than three 28. What is the position of A with respect to F?
(1) Third to the right (2) Second to the left (3) Immediate right (4) Immediate left (5) None of these 29. Who among the following sit at the extreme end of the row?
(1) G (2) B (3) J (4) F (5) None of these 30. How many persons face south?
(1) One (2) Two (3) Three (4) Four (5) More than four
Directions: (31 – 35) Study the following information carefully and answer the questions given below:
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A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement. Input: gained 27 48 our 39 there cost 82 air 14
Step I : there gained 27 48 our 39 cost air 14 82 Step II : our there gained 27 39 cost air 14 82 48 Step III : gained our there 27 cost air 14 82 48 39 Step IV : cost gained our there air 14 82 48 39 27 Step V : air cost gained our there 82 48 39 27 14 Step V is the last step of the above arrangement. As per the rules followed in the steps given above, find out in each of the following questions the appropriate step for the given input. Input: roast 32 59 passion 44 treasure door 79 bill 11
31. Which of the following element is fifth from the right end in Step IV? (1) bill (2) 11 (3) treasure (4) 79 (5) None of these
32. Which of the following element is fifth from the left end in step II? (1) passion (2) door (3) 32 (4) 44 (5) None of these
33. Which of the following is Step III of the given input? (1) passion roast treasure door 32 bill 11 79 59 44 (2) passion roast treasure 32 door bill 79 11 59 44 (3) passion roast treasure 32 door bill 11 79 59 44 (4) passion roast treasure door bill 32 11 79 59 44 (5) None of these
34. Which element is third to the left of ‘passion’ in step I? (1) bill (2) roast (3) treasure (4) 32 (5) None of these
35. Which element is seventh to the right of ‘door’ in step V? (1) 11 (2) 44 (3) 32 (4) 59 (5) None of these
36. How many pairs of letters are there in the word” SCHEDULE” which have as many letters between them in the word as in alphabetical series? (1) One (2) Two (3) Three (4) Four (5) None of these
37. If all the alphabets are rearranged within itself as they appear in the English dictionary in the word “DEFAULTER” then which of the following will be seventh from the left end? (1) F (2) L (3) T (4) R (5) None of these
38. In a row of students facing North, Rahul is 14th from the left end. Five students sit between Rahul and Sam. What is the position of Sam from the left end, if Sam does not sit to the right of Rahul? (1) Sixth from the left end (2) Seventh from the left end (3) Eight from the left end (4) Twentieth from the left end (5) Can’t be determined
39. Pointing to a lady, Sameer said, “She is the only sister of my father’s only grandson”. How is that lady related to Sameer? (1) Daughter (2) Niece (3) Sister (4) Mother (5) Can’t be determined
40. In a certain code ‘CLASS’ is written as ‘47#99’ and ‘SHAPE’ is written as ‘93#65’. How is ‘PALACE’ written in that code? (1) 6#74#5 (2) 6#7#54 (3) 6##745 (4) 6#7#45 (5) None of these
TEST – II: QUANTITATIVE APTITUDE Directions: (41 – 45) In each question two equations numbered (I) and (II) are given. Student should solve both the equations and mark appropriate answer.
(1) if x = y or no relation can be established (2) if x > y (3) if x < y (4) If x ≥ y (5) if x ≤ y
41. I. 6 2x + 13x + 6 = 0 II. 2 2y + 7y + 6 = 0
42. I. x 71
3 15+ = II. 5(y - 2) + 18 =0
43. I. 4 2x + 16x +15 =0 II. 2 2y + 5y + 3 = 0
44. I. 12 2x - 17x +6 =0 II. 35 2y - 29y + 6 =0
45. I. x(4x – 9) = 9(16 – x) II. 4 2y + 20y + 25 = 0
Directions: (46 – 50) In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option
46. What is area of the rectangle. I. Length is 50% more than breadth. II. Perimeter of square is 48 cm and breadth of rectangle is equal to side of square. (1) only statement I (2) Only statement II (3) Both I and II together (4) Either I or II alone (5) Both statement together is not sufficient
47. What is age of Rahul after 2 years. I. Average age of Arun and Neeraj is 24 years and ratio of age of Rahul to Arun is 2 : 3. II. Neeraj is 4 years elder than Satish and ratio of age of Satish to Rahul is 1 : 2
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(1) only statement I (2) Only statement II (3) Both I and II together (4) Both statements together are not sufficient (5) Either I or II alone
48. What is the speed of boat in still water when the upstream speed of boat is equal to the speed of stream? I. Time required to cover certain distance upstream is 24 sec. II. Time required to cover certain distance downstream is 8 sec. (1) only statement I (2) Only statement II (3) Both I and II together (4) Both together are not sufficient (5) Either I or II
49. Find out the length of train X given that speed of train X is 20 m/sec. I. Train X crosses another train Y moving in opposite direction in 6 sec and the speed of train Y is 50% more than the speed of train X. II. Length of train Y is 50% less than length of train X. (1) Both I and II together (2) Only statement I (3) Only statement II (4) Both I and II together are not sufficient (5) Either I or II alone
50. What is the total strength of company AB Publications. I. Ratio of male to female employees are 1 : 2 II. Total female are 280 and males are 50% of female. (1) only I and II together (2) Only statement I (3) Only statement II (4) Both I and II together are not sufficient (5) Either I or II alone
Directions: (51 – 55) The following pie–chart shows the percentage break–up of accidents due to various vehicles in a city.
Total number of accidents = 24,000 (including both male and females)
51. Find the average number of accidents that are due to motorcycles, Buses and cars?
(1) 4,620 (2) 4,820 (3) 4,720 (4) 4,520 (5) 4,500 52. Out of the total number of accidents caused by trucks and autos together , the ratio of Death to Injuries is 13 : 11. Then find the
number of injuries caused by these two vehicles. (1) 3,300 (2) 3,900 (3) 4,400 (4) 3,410 (5) 3,850
53. If in total number of accidents 162 %
2 are male. Male accidents due to cars and cycles is 40% of total male accidents, then find the
number of female accidents due to cars and cycles together? (1) 720 (2) 900 (3) 600 (4) 960 (5) 840
54. Find the difference of the central angle corresponding to the number of accidents due to motorcycles and autos together and Trucks and cycles together. (1) 35° (2) 33.4° (3) 32.4° (4) 35.4° (5) 36°
55. Out of total accidents, 48% are resulted into spot deaths, which are only 16 %
4 of the total population of city. Then, find the number
of female population, if the ratio of male to female is 13 : 11 in the city. (1) 84,480 (2) 82,480 (3) 86,480 (4) 86,640 (5) 84,680
Directions: (56 – 60) What will come at the place of question mark (?) in the following number series.
56. 149, ?, 89, 66, 47, 30 (1) 119 (2) 117 (3) 116 (4) 118 (5) 121
57. 468, 596, 694, 766, 816, ? (1) 848 (2) 850 (3) 834 (4) 842 (5) 864
58. 43, 69, 104, 157, 237 , ? (1) 383 (2) 335 (3) 353 (4) 425 (5) 370
59. 620, 605, 635, 590, 650, ? (1) 575 (2) 585 (3) 595 (4) 605 (5) 615
60. ? , 222, 436, 864, 1720, 3432 (1) 115 (2) 120 (3) 118 (4) 112 (5) 110
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61. Mr. Thomas can complete a work in 15 days by working 5 hours a day while John can complete the same work in 10 days by working 6 hours a day. If both work together, working 4 hours a day, then in how many days can the work be completed ?
(1) 16 days
4 (2) 1
8 days3
(3) 5days (4) 17 days
2 (5) 8days
62. The sum of present age of Veer and Abhi is 56 years. The age of Abhi two years hence is equal to the age of Satish two years ago and the average of present age of Satish and Abhi is 26 years. Then find the present age of Veer ? (1) 26 years (2) 28 years (3) 30 years (4) 32 years (5) 34 years
63. The speed of boat in upstream is thrice the speed of current and the speed of boat in downstream is 30 km/hr. Then find the time taken by boat to travel 63 km in upstream. (1) 3.5 hr (2) 3 hr (3) 4.5 hr (4) 4 hr (5) 5 hr
64. Radius of a cone is equal to the side of an equilateral triangle having area 249 3cm .and the slant height of the cone is 8 cm more than the perimeter of triangle then find the volume of the cone.
(1) 9646 3cm (2) 9586 3cm (3) 9716 3cm (4) 9856 3cm (5) None of these 65. P and Q make an investment in the ratio of 5 : 9. At the end of 7 months, P withdrew the whole amount. If they receive profits in the
ratio of 7 : 9 then find for how many months Q’s investment was used ?
(1) 4 months (2) 5 months (3) 6 months (4) 4 12
months (5) 8 months
Directions: (66 – 70) The following table shows the data related to the employment situation in a city in the five different years. If also shows the total population of city in given years, percentage of Govt. Employees, Pvt. Employees and out of remaining, the ratio between number of self-employed person to the number of unemployed person. Read the data carefully and answer the questions.
66. Find the ratio between total number of Govt. employees in year 1995 and 2010 together to total number of Pvt. Employees in year
2000 and 2005 together? (1) 95 : 128 (2) 285 : 281 (3) 275 : 271 (4) 517 : 570 (5) 575 : 517
67. Find the difference between total number of self-employed person in year 1990 and 2000 together and the number of unemployed person in year 2005 and 2010 together. (1) 7050 (2) 7250 (3) 6850 (4) 7150 (5) 6950
68. Find the average number of Pvt. employees, self-employed and unemployed in year 2015 if total number of Govt. employees in 2015
is equal to 50% of the total number of govt. employee in year 1995 and 2000 together and in year 2015, 129 %
2of the total
employees are Govt. employees. (1) 94,000 (2) 46,000 (3) 47,500 (4) 46,500 (5) 47,000
69. The total number of Pvt. employees and self-employed in year 2000 is approximately what percent more than the total number of self-employed and unemployed person in year 2005 and 2010 together? (1) 15% (2) 12% (3) 22% (4) 19% (5) 25%
70. Find the average population of city in the year 1995, 2000 and 2005 together excluding number of Pvt. Employees in all these years? (1) 1,25,800 (2) 1,27,400 (3) 1,29,200 (4) 1,31,200 (5) 1,33,500
71. If the numerator of a fraction is increased by 150% and the denominator of the fraction is decreased by 25%, the resultant fraction
is 111 %
9of 8. What is the original fraction.
(1) 2/7 (2) 4/15 (3) 2/9 (4) 4/17 (5) 5/18 72. The average age of 60 students in a college was calculated as 21 years. Later, it was realized that the age of one of the students was
taken as 54 years instead of 24 years. Then, find the actual average age of all the students. (1) 19 year (2) 19.5 year (3) 20 year (4) 20.5 year (5) 21 year
73. The perimeter of a rectangle is 668 cm and the ratio of length to breadth of the rectangle is 154 : 13. Find the side of a square whose magnitude of area is equal to the magnitude of circumference of the circle and the diameter of the circle is half of the length of a rectangle ? (1) 25 cm (2) 23 cm (3) 22 cm (4) 20 cm (5) 18 cm
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74. Out of 15 employees in a company, the ratio of male and female employees are 3 : 2. If 2 employees are selected for promotion then find the probability that at least one of the selected employees will be female. (1) 12/35 (2) 1/7 (3) 11/35 (4) 23/35 (5) 1/3
75. If a shopkeeper offers a single discount of 30% instead of two successive discounts of 25% and 12%, he loses Rs. 76 on selling an article. If the price of the article is marked up by 52% then find the cost price of that article. (1) Rs. 1250 (2) Rs. 1200 (3) Rs. 1320 (4) Rs. 1650 (5) Rs. 1120
Directions: (76 – 80) What approximate value will come in the place of question (?) mark.
76. ( )120.89 25.001 ?%of159.993 62.011− + =
(1) 30 (2) 35 (3) 40 (4) 45 (5) 50
77. ( )156.002 554.93 5.01 ? 989.98− ÷ × =
(1) 15 (2) 12 (3) 30 (4) 22 (5) 32
78. ( )21.001 ? 119.91 38.01 47.953+ = × ÷
(1) 74 (2) 66 (3) 54 (4) 84 (5) 94
79. ( )2915.995 81.001 16.992 ? 24÷ × − =
(1) 46 (2) 26 (3) 22 (4) 52 (5) 36
80. ( )24.98%of192.01 15.995 59.95%of180.02 ?÷ = −
(1) 95 (2) 105 (3) 115 (4) 125 (5) 85
HINTS & SOLUTIONS
ANSWER KEY 1. (2) 21. (1) 41. (4) 61. (2)2. (1) 22. (4) 42. (1) 62. (4)3. (4) 23. (2) 43. (5) 63. (1)4. (5) 24. (1) 44. (2) 64. (4)5. (3) 25. (1) 45. (1) 65. (2)6. (4) 26. (2) 46. (3) 66. (2)7. (4) 27. (5) 47. (3) 67. (1)8. (5) 28. (4) 48. (4) 68. (5)9. (1) 29. (3) 49. (1) 69. (4)10. (5) 30. (4) 50. (3) 70. (3)11. (2) 31. (2) 51. (3) 71. (2) 12. (4) 32. (4) 52. (1) 72. (4)13. (2) 33. (3) 53. (4) 73. (3)14. (4) 34. (2) 54. (3) 74. (4)15. (2) 35. (3) 55. (1) 75. (1)16. (3) 36. (3) 56. (4) 76. (2)17. (1) 37. (4) 57. (1) 77. (4)18. (3) 38. (3) 58. (3) 78. (1)19. (5) 39. (5) 59. (1) 79. (5)20. (4) 40. (4) 60. (1) 80. (2)
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HINTS & SOLUTIONS
1. (2) 2. (1) 3. (4) 4. (5) 5. (3) 6-10. V sits second to the right of R. R sits in the middle of one of the sides of table. Only two people sit between V and Q. S is one of the
immediate neighbors of Q. T sits second to the left of S. So, there will be two possibilities-
P sits second to the left of U. V is not an immediate neighbour of U. Therefore, case-1 will be eliminated and we got the final arrangement---
6. (4)
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7. (4) 8. (5) 9. (1) 10. (5) 11-15. Three boxes are placed between box O and box M, which contains 48 coins. N contains 50 coins and is placed immediately above O.
The box which contains 50 coins is not placed below the box which contains 48 coins. There is only one box which is placed between box N and box Q, which contains 60 coins. The box which contains highest number of coins is not placed on top. Only two boxes are placed between box S and box T, which contains 25 coins. Box S has less coins than box T. Box S is not placed at an odd numbered position when counted from bottom to top. Box P contains 5 coins. We have following possibilities-
Now, box P is placed somewhere below box S. Box R contains more coins than box O. The box which contains 35 coins will not be placed on top. So the final arrangement will be-
11. (2) 12. (4) 13. (2) 14. (4) 15. (2) 16-20.
16. (3) 17. (1) 18. (3) 19. (5) 20. (4)
21-22.
21. (1) 22. (4)
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23-25.
23. (2) 24. (1) 25. (1) 26-30. Six persons sit between A and D and none of them sits at any end of the row. Both A and D faces same direction. Two persons sit
between E and D. I sits fourth to the left of E. Only one person sit between H and I. Immediate neighbors of D face same direction as D. C sits to the immediate left of H. Two persons sit between J and G. G and B are not the immediate neighbors of A. We will have two possibilities-
Now, persons sitting at the end face opposite directions. G and B face same direction as J. F faces north. Immediate neighbors of E face opposite direction. Since, the number of person facing south is not equal to the number of person facing north. This will eliminate case 2. So the final arrangement will be-
26. (2) 27. (5) 28. (4) 29. (3) 30. (4) 31-35. Let us understand the logic behind it- In each step one word and one number is arranged simultaneously, the numbers are arranged
from right end and the words are arranged from left. For words- One word will be arranged in each step. The word which comes last according to alphabetical series is arranged first from left and then all others words are arranged in the same manner. For numbers- The numbers are arranged in decreasing order. The highest number is arranged first on right end and then the 2nd highest is arranged to right most end in the next step and so on. Input: roast 32 59 passion 44 treasure door 79 bill 11 Step I: treasure roast 32 59 passion 44 door bill 11 79 Step II: roast treasure 32 passion 44 door bill 11 79 59 Step III: passion roast treasure 32 door bill 11 79 59 44 Step IV: door passion roast treasure bill 11 79 59 44 32 Step V: bill door passion roast treasure 79 59 44 32 11
31. (2) 32. (4) 33. (3) 34. (2) 35. (3) 36. (3)
37. (4) 38. (3) 39. (5) She can be Sameer’s niece or daughter. 40. (4)
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41. (4)
42. (1)
43. (5)
44. (2)
45. (1)
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46. (3)
47. (3)
48. (4)
49. (1)
50. (3)
51. (3)
52. (1)
53. (4)
54. (3)
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55. (1)
56. (4)
57. (1)
OR
58. (3)
59. (1)
60. (1)
61. (2)
62. (4)
63. (1)
64. (4)
65. (2)
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66. (2)
67. (1)
68. (5)
69. (4)
70. (3)
71. (2)
72. (4)
73. (3)
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74. (4)
75. (1)
76. (2)
77. (4)
78. (1)
79. (5)
80. (2)
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