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# IBPS-RRBs Officer Scale-1(Mains);Exam Paper - 2018 Subject : Quantitative Aptitude

## Quantitative Aptitude :

Direction (41-45): Study the following information carefully and answer the given questions:  41. Find central angle of E in total tourist ?
A. 110.4 Deg
B. 122.4 Deg
C. 126.6 Deg
D. 112.6 Deg
E. None of these

42. In tourists from city A, in which Canada tourists are 1200 more than that of tourists from Britain. Then find the number of tourists from Canada in city A?
A. 2225
B. 4450
C. 3425
D. 2255
E. None of these

43. Find the difference between the total number of tourists from Canada and Britain in city E with the total number of tourists from Canada and Britain in city D?
A. 11750
B. 12950
C. 11725
D. 12000
E. None of these

44. Find the ratio of total number of USA tourists from city B to that of total number of tourists from city D?
A. 14:15
B. 6:13
C. 11:5
D. 5:11
E. None of these

45. If the total number of male to that  of female tourists from Canada and England in city C is 3 : 2, then find the number of male tourists from Canada and England in city C?
A. 840
B. 1050
C. 960
D. 1130
E. None of these

46. Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

A and C working together take 30 days to complete a piece of work. How long does A take working alone?
I. A, B and C working together take 20 days.
II. B is 2 times more efficient than C
A. The question can be answered by using statement I alone but cannot be answered using the other statement alone.
B. The question can be answered by using statement II alone but cannot be answered using the other statement alone.
C. The question can be answered by using either of the statement alone.
D. The question can be answered using both of the statements together, but cannot be answered using either of the statement alone.
E. The question cannot be answered even by using both the statements together.

47. Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

Radius of base of cone is 4.2 cm, what is the volume of the cone?
I. The ratio of slant height to the height is 1.25:1.
II. The ratio of the total surface area to volume is 1.5:1.
A. The question can be answered by using statement I alone but cannot be answered using the other statement alone.
B. The question can be answered by using statement II alone but cannot be answered using the other statement alone.
C. The question can be answered by using either of the statement alone. D. The question can be answered using both
of the statements together, but cannot be answered using either of the statement alone.
E. The question cannot be answered even by using both the statements together.

48. Direction: The question given below  has few statements along with it. You have to determine which of the statement/s is/are sufficient/necessary for answering the question and mark your answer accordingly:  What was the final score in a game between Team X and Team Y?
(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient to nswer the question asked
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

49. Direction: The question given below has few statements along with it. You have to determine which of the statement/s is/are sufficient/necessary for answering the question and mark your answer accordingly:
If production on line A increased 5% from 2006 to 2007, and if production on line B increased 10% in the same period, how many units did line A produce in 2006?
(1) The two lines combined produced 100,000 units in 2006.
(2) The two lines combined produced 107,500 units total in 2007.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

50. A beer company spent \$100,000 last year on hops, yeast, and malt. How much of the total expenditure was for hops?
(1) The expenditure for yeast was 20% greater than the expenditure for malt.
(2) The total expenditure for yeast and malt was equal to the expenditure for hops.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

51. Direction: Study the following information carefully and answer the given questions:
The following table shows thenumber of classes taken by each tutors in different days and the total amount given to the professor per class For the certain course also given Note:
Saturday and Sunday are holidays “-“ is missing value, we have to find the value according to the question.
Find the ratio of the number of lectures taken by Sushanta to that of the number of lectures taken by Shiromani in a week?
A. 5:3
B. 3:5
C. 2:1
D. 1:1
E. None of these

52. Find the earnings made by Bhupender if he teaches for 6 weeks?
A. 27000
B. 45000
C. 30000
D. 35000
E. None of these

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53. Find the difference between the earnings made by Shiromani for 2 weeks to that of the earnings made by Bhupender for 3 weeks?
A. 10500
B. 13500
C. 12500
D. 16500
E. None of these

54. If Vishal takes 2 classes each on Thursday and Friday, then how much he can earn in a week?
A. 9000
B. 3000
C. 8000
D. 10,400
E. None of these

55. If the amount of Rs. 48000 was given to Vishal for 3 weeks, then find the number of class/classes taken by the tutor B in Thursday and Friday together?
A. 10
B. 12
C. 11
D. 14
E. None of these

56. Direction: In the following question, there are two equations. Solve the equations and answer accordingly.
I. x3+312=437
II. y4-226=399
A. x>y
B. x<y
C. x≥y
D. x≤y
E. x=y or no relationship can be established (CND)

57. Direction: In the following question, there are two equations. Solve the equations and answer accordingly:
x2 -162=232 -56
y2-25y+156=0
A. x>y
B. x<y
C. x≥y
D. x≤y
E. x=y OR No relation can be established(CND)

58. Direction: In the following question,  there are two equations. Solve the equations and answer accordingly.
I. 6x2 – 37x+56 = 0
II. 4y2- 33y+68 = 0
A. x > y

B. x ≥ y
C. y >x

D. y ≥ x
E. x = y or relationship cannot be establish

59. Direction: In the  following questions two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. x3 – 468 = 1729
II. y2 – 1733 + 1564 = 0
A. If x < y B. If x > y
C. If x y D. If x y
E. if x = y relationship cannot be established.

60. Direction: In the following question, two equations are given. You have to solve these equations and give the answer:
1) 36x2= 1
2) 3y2 + 7y +2= 0
A. x > y
B. x ≥ y
C. y >x
D. y ≥ x
E. x = y or relationship cannot be establish

Direction (61-65): Study the following information carefully and answer the given questions:

In the year 2015, the salary expense of a company is 16 lakhs and the total number of employees is 80 and in the year 2016, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2016 is 20% more than the previous year.
Theother expense in the year 2016 is 34 lakhs. The total expense in the year 2015 and 2016 is same. In the year 2017, the number of employees is 5 less than the previous year.
The average salary of employees in the year 2017 is Rs. 15000 and the other expense in the year 2017 is Rs. 47.75 lakhs.
Note:
S
alary expense = Average salary of employees * Number of employees Total expense = Salary expense + other expense

61. The total expense  in the year 2015 is approximately what percentage of total expense in the year 2017?
A. 110
B. 90
C. 75
D. 100
E. None of these

62. Find the total average salary of employees in all the given years together?
A. Rs. 59000
B. Rs. 48000
C. Rs. 53000
D. Rs. 56000
E. None of these

63. Find the difference between the number of employees in the year 2015 to that in the year 2017?
A. 5
B. 15
C. 10
D. 12
E. None of these

64. Find the average other expense in all the given years together?
A. 39.65 lakhs
B. 35.72 lakhs
C. 33.58 lakhs
D. 41.25 lakhs
E. None of these

65. The total expense in the year 2017 is approximately what percentage more/less than the other expense in the year 2016?
A. 50 % more
B. 60 % less
C. 75 % more
D. 75 % less
E. None of these

66. The ratio of the volume of cone and the volume of cylinder of same base is 5: x respectively. If the height of the cone is 45 cm, and the total surface area of the structure is made by joining the same cone and cylinder such that the base of both cone and cylinder completely coincide, is 11340 square cm, then find the  value of x, if the radius of cone is 28cm. (use π=3)
A. 4
B. 6
C. 9
D. 12
E. None of these

67. A river is flowing at the speed of 2 km/hr.Boat A is running from point X  to point Y against the river and B is moving from point Y to point X in the direction of flow of the river. The speed of boat A in still water is 14 km/hr and the ratio of the speed of boat A while travelling upstream to speed of boat B while travelling downstream in the river is 3: 4 respectively. Boat A and Boat B start from their respective sources simultaneously but after 4 hours 24 minutes due to technical problem speed of boat B reduces by 25%. If both cases cross each other in 6 hours from the start then, find the distance between X and Y.
A. 162.4 km
B. 178.2 km
C. 164.4 km
D. 171.8 km
E. None of these

68. Harsh and Kabeer deposited Rs. 90, 000 and Rs. 1, 50, 000 respectively for ‘y+2’ years and ‘y+5’ years at 6% and 9% simple interest respectively. If the accumulated amount for Kabeer was Rs. 132900 more than the accumulated amount for Harsh, then what would Rs. 12, 00, 000, accumulate to if invested at 5% compound interest for ‘y’ years?
A. Rs. 1642000
B. Rs. 986800
C. Rs. 1047000
D. Rs. 1323000
E. None of these

69. A shopkeeper sells his goods at the same price as what he pays his supplier, but when he buys from his supplier, he takes 15% more than the indicated weight and when he sells to his customers he gives 15% less than the indicated weight. Find his profit percentage.
A. 500/23%
B.602/17%
C. 236/11%
D. 23%
E. None of these

70. Ram is 20% more efficient than Lakshman. If Ram completes two – third of the work in D days, then the remaining work can be done by Lakshman in (D – 8) days. Both started working together, Ram was working with two – third of his efficiency and Lakshman was working with four – fifth of his efficiency. After few days, they started working together with their full efficiency, and the remaining work was completed by them in 12 days. Find the number of days for which they didn’t work with their full efficiency
A. 4 days
B. 5 days
C. 6 days
D. 7 days
E. 8 days

71. Direction: Study the following information carefully and answer the given questions:
The following bar graph shows the total number of students (Boys + Girls) and the total number of boys who participated in different sports. 71. Find the number of girls who participated in both Cricket and basketball together?
A. 76
B. 66
C. 42
D. 54
E. None of these

72. Find the ratio of total number of students participated in Football and Tennis to that of the number of boys participated in Cricket?
A. 3:1
B. 22:45
C. 36: 51
D. 51:36
E. None of these

73. Find the average of the girls participated in all five sports together?
A. 66 B. 11
C. 22 D. 55
E. None of these

74. Find the difference between the number of boys participated in basketball with the number of girls participated in Tennis?
A. 80
B. 30
C. 60
D. 14
E. None of these

75. Total number of girls participated in Football is approximately what percentage of total number of boys participated in Tennis?
A. 109
B. 98
C. 118
D. 140
E. None of these

76. L, M and N started a business by investing Rs.600000, Rs. 450000 and Rs. 900000 respectively. L, M and N brought additional capital of Rs. 240000 in the ratio of 5: 3: 4 respectively at the end of 4th , 7th and 9th month respectively. What was M’s share of 1st year’s profit of Rs. 49480?
A. Rs. 12500
B. Rs. 11400
C. Rs. 17200
D. Rs. 14200
E. None of these

77. Two letters are chosen out of the alphabets of the English language. Find the probability that both the letters are vowels
A. 2/65
B. 11/65
C. 14/65 D. 17/65
E. 0.5

78. Vessels P, Q and R contain 400, 250 and 300 litres of mixture of petrol and diesel respectively. The ratio of petrol and diesel in the vessel P, Q and R was 5: 3, 3:2 and 1: 1 respectively. ‘x%’ of the quantity from each vessel is drawn and put into the drum. If the quantity of petrol in the drum was 120 litres more than the quantity of diesel, then find x?
A. 75
B. 50
C. 80
D. 45
E. None of these

79. Nine years ago, the ages of the members of a  joint family of eight people added up to 260 years. Four years later, one member died at the age of 50 years and a child was born during the same year. After another four years, one more member died, again at 50, and a child was born during the same year. The current average age of this eight-member joint family is nearest to
A. 23 years
B. 22 years
C. 21 years
D. 25 years
E. 29 years

80. The average weight of 3 student P, Q and R is 84kg. Another student S joins the group and the average weight becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q, R, S and T become 79 kg, what is the weight of P?
A. 75 kg
B. 82 kg
C. 45 kg
D. 98 kg
E. None of these

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