# IBPS-RRBs Officer Scale-1 Exam Paper - 2018 "Quantitative Aptitude"

## Subject : Quantitative Aptitude

41. Direction: In each question numbered I and II have been given. You have to solve both the equations and mark the appropriate option.

I. x2 – 15x + 56 = 0
II. Y = √64

A. x > y
B. x ≥ y
C. x ≤ y
D. x < y
E. x = y or no relationship can be established

42. Direction:  In each question numbered I and II have been given. You have to solve both the equations and mark the appropriate
option.
I. x2 + 6x + 9 = 0
II. y2 – 3y – 18= 0
A. x >y
B. x ≥ y
C. x ≤ y
D. x < y
E. x = y or no relationship can be established

43. Direction: In each question numbered I and II have been given. You have to solve both the equations and mark the appropriate
option.
I. x2 – x –6= 0
II. Y2 − 6y + 8 = 0
A. x >y
B. x ≥ y
C. x ≤ y
D. x < y
E. x = y or no relationship can be established

44. Direction: In the que stion, two equations I and II are given. You have to solve both the equations and give answer
I. x2 – 11x – 80 =0
II. y2 + 9y – 52 =0
A. x > y
B. x < y
C. x=y, or relation cannot be established between x and y
D. x ≥ y
E. x ≤ y

45. Direction: In the following question, two quadratic equations I & II are given. Solve both the equations & establish the relationship between the given variables.
4x2 + 12x + 9 = 0
2y2 + 11y + 14 = 0

A. x > y
B. x
C. x ≥ y
D. x ≤ y
E. x = y OR No relation can be established (CND)

46. Direction: What approximate   value will come in place of question marks in the given questions

(10.97)2+(4.13)3x3.79=?

A. 428
B. 376
C. 204
D. 198
E. 302

47. Direction: What approximate value will come in place of question marks in the given questions.

423.62 – 269.89 ÷ (11.9% of 74.98) = ?
A. 525
B. 455
C. 395
D. 650
E. 275

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48. Direction: What approximate value will come in place of question marks in the given questions.
23x15-60+?÷31=292
A. 218
B. 186
C. 217
D. 201
E. 227

49. Direction: What approximate value will come in place of question marks in the given questions.
151.02 – 118.92÷17.02-?2=80.88
A. 4
B. 10
C. 8
D. 12
E. 6

50. Direction: What approximate value will come in place of question marks in the given questions.

?÷4.02+4.97x9.09=131.92
A. 348
B. 356
C. 334
D. 342
E. 332

51. Direction: Study the following graph and aanswer accordingly. 51. Which of the consoles showed highest percentage increase in sales over its previous year?
A. SONY
B. MICROSOFT
C. NINTENDO
D. MITASHI
E. ROG

52. Which of the consoles showed the third highest percentage increase in sales over its previous year?
A. SONY
B. MICROSOFT
C. NINTENDO
D. MITASHI
E. ROG

53. What is the absolute change in overall sales of the five companies together between 2016- 2017 and 2017-2018?
A. 15,300
B. 16,500
C. 15,500
D. 14,500
E. 14,800

54. What is the combined percentage increase in sale of Sony and Nintendo from 2016-2017 to 2017-2018?
A. 54.54%
B. 33.33%
C. 51.55%
D. 45.45%
E. 60%

55. What is the difference between the total sale from 2016 to 2018 for Microsoft and ROG?
A. 4,500
B. 3,800
C. 3,000
D. 4,180
E. 4,250

Direction (56-60): Read the information carefully to give the answers of following questions.

Number of students appeared (A) and qualified (Q) in the examination from various institutions over the years: 56. Percentage of candidates qualified over appeared from institute D is the lowest during which of the following years?
A. 2013
B. 2014
C. 2015
D. 2016
E. 2017

57. Approximately what is the percentage of candidates qualified over appeared from all the institutes together in 2017?
A. 98%
B. 75%
C. 64%
D. 86%
E. 69%

58. What is the difference between the number of students appeared but not qualified in the exam from institute B in year 2014 and number of students appeared but not qualified in the exam from same institute in the year 2016?
A. 188
B. 190
C. 182
D. 185
E. None of these

59. What is the approximate average number of candidates appeared for the exam from institute E over the years?
A. 1759
B. 1586
C. 1669
D. 1924
E. 1837

60. What is the percentage of qualified candidates over the number of candidates appeared for the exam in 2015 from all the institute together?
A. 83.59%
B. 88.78%
C. 75.6%
D. 79.85%
E. None of these

61. The average weight of 17 students is 90 kg. If the weight of the teacher is also included, then the average weight is increased by 200 grams. Find the weight of the teacher?
A. 49 kgs
B. 48.7 kgs
C. 49.3 kgs
D. 55 kgs
E. None of these

62. A man can row at 8 kmph in still water. If the velocity of current is 2 kmph and it takes him 2 hours to row to a place and come back, how far is the place?
A. 7.5 km
B. 8 km
C. 8.5 km
D. 9 km
E. None of these

63. A sum invested at 10% simple interest per annum grows to Rs. 900 in 5 years. The same amount at 15% simple interest per annum in

5/2 years will grow to?
A. 830
B. 835
C. 825
D. 820
E. None of these

64. A and B started a business in partnership investing Rs. 10,000 and Rs. 7,500 respectively. After 3 months, C joined them with Rs. 10,000. What will be B’s share in the total profit of Rs 12,000 earned at the end of 1 year from the starting of the business?
A
. 1000
B. 1500
C. 1200
D. 1800
E. None of these

65. Rubina decided to donate 16% of her monthly salary to an NGO. On the day of donation she changed her mind and donated Rs.6567, which was 75% of what she had decided earlier. How much is Rubina’s monthly salary?
A. Rs.8756
B. Rs.54725
C. Rs.656700
D. Rs.45696
E. Rs.54800

66. Pipes A and B can fill a tank in 12 and 15 hours respectively. Pipe C can empty it in 6 hours. If A and B are kept open for 5 hours in the beginning and then C is also opened. Now In how many hrs tank will be empty?
A. 42 hours
B. 43 hours
C. 45 hours
D. 50 hours
E. None of these

67. 5 years ago, the age of a man was 3 years more than 4 times his son’s age.  After 3 years the man will be 6 years less than thrice the age of his son. After how many years will the sum of their ages be 80 years?
A. 25
B. 32
C. 16
D. 43
E. 45

68. The ratio of income of Ram and Sham is 5:4 and their expenditure is as 3:2. If at the end of the year, each saves Rs. 1200, then the income of Ram is
A. 3500
B. 2000
C. 2500
D. 3500
E. 3000

69. A can do a piece of work in 12 days which B can do in 18 days. They begin together but 2 days before the completion of the work, A leaves off. The total number of days to complete the work is?
A. 42/5
B. 7
C. 8
D.43/5
E. None of these

70. Two passenger trains each 750 meters long,are running in opposite directions on parallel tracks. Their speeds are 50 km/h and 40 km/h respectively. Find the time taken by the slower train to pass the faster one?
A. 45 seconds
B. 30 seconds
C. 65 seconds
D. 70 seconds
E. None of these

Direction (71-75): Study the following number series carefully and find the  missing term.

71. 8, 9, 15, 32, ?, 250.5
A. 82.5
B. 47.5
C. 62.5
D. 37.5
E. 64.5

72. 2, 5, 9, 42, 98, ?
A. 233
B. 218
C. 221
D. 225
E. 242

73. 100 100 50 12.5 ?
A. 2.5625
B. 1.5625
C. 3.5625
D. 4.5625
E. 2.2525

74. 12, 20 ,34, 57, ?
A. 93.5
B. 93
C. 93.2
D. 93.25
E. 94

75. 1023, 987, 915, 807, ?
A. 563
B. 543
C. 636
D. 663
E. 632

76. Direction: In each of the following questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

What is the length of the train?
I. The train takes 5 sec to cross a pole.
II. The train takes 7 sec to cross two poles, 50 m apart.
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.

77. 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 B finish 3/4th of a specific piece of work in 6 hours. How much time does A take to finish the work?
I. B finishes the work in 10 hours.
II. A and B together finish the work in 8 hours.
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.

78. Direction: A question is given followed by the information in three statements. You have to decide the information in which of the statements is necessary and sufficient to answer the question and mark answer accordingly.

What is the monthly salary of Pravin?
I. Pravin earns Rs. 1200 more than Aman.
II. The ratio between Aman and Vimal’s monthly salary is 5: 3
III. Vimal earns Rs. 1,000 less than Aman.
A. Any two of I, II and III are required.
B. Only I and II are required
C. Only II and III are required
D. All I, II and III together are required
E. None of these

79. Direction: A question is given followed by the information in three statements. You have to decide the information in which of the statements is necessary and sufficient to answer the  question and mark answer accordingly.
What is the percent profit earned?
I. The car is sold at 10% discount
II. If there was no discount given, the profit would have been 35%
A. I alone
B. II alone
C. Either I alone or II alone
D. Both I and II
E. Both I and II are not sufficient

80. Direction: A question is given followed by the information in three statements. You have to decide the information in which of the statements is necessary and sufficient to answer the  question and mark answer accordingly.

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.
A. Both I and III
B. Both I and II
C. II & either I or III
D. All I, II and III
E. None of these