SBI PO (Main) Exam Paper - 2019 "Data Analysis & Interpretation"
SBI PO (Main) Exam Paper - 2019 "Data Analysis & Interpretation"
Direction (46 – 47) : In the following questions 3 series are given. You have to find the value of a, b and c by identifying the pattern of the series and then you have to establish the relation among a, b and c?
46. I. 1, 601, 721, 751, a, 766
II. 753, 769, b, 765, 763, 764
III. 23, 24, 50, 153, c, 3085
A. a > b = c
B. a = b > c
C. a = b < c
D. a > b < c
E. None of these
47.I. 102, 107, 117, 134, a
II. 130, 115, 135, 110, b
III. c, 80, 120, 300, 1050
A. b < a = c
B. b > a = c
C. b = a > c
D. b = a < c
E. None of these
Direction (48 – 50) : Study the following information carefully and answer the given questions:
In the diagram, Population Density (in population per square kilometer) and Land Area (in square kilometer) of 4 villages A, B, C and D for the year 2001 is given.
Population Density of a village = Total population of the village / Area (in square km) of the land of the village
Gender Ratio of a village = (Total number of males in a village/Total number of females in a village) × 100
48. Gender ratio of village C is 125 less than that of A . If female population of villages A and C are equal, then find the male population in village A
A. 1600
B. 2400
C. 4400
D. 2500
E. None of these
49. If population of female in village D was 4000, then what is the gender ratio of village D?
A. 120
B. 60
C. 71 3/7
D. 120
E. None of these
50. Land of a village E is 4 square kilometer. If the population density of a village E in the year 2010 was 50% with respect to that in year 2001. In the year 2001, ratio of population density of a village B to that of village E is 1 : 4, then what was the population of village E in the year 2010?
A. 3200
B. 1600
C. 2400
D. 4800
E. None of these
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Direction (51 – 55) : Study the following information carefully and answer the given questions:
The diagram, given below shows the data related to loan fair. In total z number of people contacted for a loan fair, from which x number of people visited loan fair and 9600 people shown interest for a loan. Out of the total number of people shown interest for a loan only 32% applied for the loan. Out of the total number of people applied for the loan, only 20% are eligible for a loan. Out of the total number of people eligible for a loan, loan of only y% people are disbursed.
51. If out of the number people who have applied for loan, 2880 were not eligible for a loan, then how many people are eligible for a loan?
A. 1440
B. 11520
C. 360
D. 720
E. None of these
52. If 6000 people, who visited loan fair but not shown interest and 7400 people, who were contacted but did not visit the loan fair, then how many people contacted for the loan fair?
A. 21000
B. 24000
C. 25000
D. 22500
E. 23000
53. Ratio of the number of people, who did not visit the loan fair and the number of people, who visited the loan fair but not shown interest is 7 : 5 . If the total number of people contacted for the loan fair is 19200, then find the value of x.
A. 19200
B. 16000
C. 14400
D. 13600
E. 12600
54. Loan of 40% of the people did not1 disbursed who were eligible for a loan, then find the ratio of the number of people, who shown interest and the number of people, whose loan disbursed.
A. 2000 : 9
B. 1250 : 24
C. 2000 : 27
D. 625 : 24
E. None of these
55. Number of people who were eligible for a loan but whose loans were not disbursed is equal to the 9% of the number of people who shown interest in the loan but did not apply for a loan. Find the value y.
A. 12.5
B. 25
C. 16.67
D. 20
E. None of these
Direction (56 – 58) : Study the following information carefully and answer the given questions:
An apple pie of R cm radius has to cut into x identical pieces. Area of top surface of each piece was 0.77 cm2 but later on it was found 50% of pie was rotten so the remaining 50% was cut into (x – 3) pieces of area 0.616 cm2 each.
56. Find the value of X.
A. 10
B. 12
C. 8
D. 6
E. None of these
57. Find the circumference of the original pie.
E. None of these
58. If entire pie would have been cut into 11 identical pieces what would have been top surface area of each piece?
A. 0.64 cm2
B. 0.56 cm2
C. 0.28 cm2
D. 0.42 cm2
E. None of these
Direction (59 – 61) : Study the following information carefully and answer the given questions. Data below represent number of people required for various project to be completed in various days:
59. If 64 people were working for Project A, then how many days did it take to complete the work?
A. 44 days
B. 22 days
C. 33 days
D. 36 days
E. None of these
60. If in Team P, total number of workers = 0.5Z x 2M, then what is the number of days required by Team P to complete Project C?
A. 75 days
B. 60 days
C. 90 days
D. 80 days
E. None of these
61. If 0.5 Y people work on project B for 10 days and then 0.5Y people join the project after 10 days. How many days will it take to complete the Project B?
A. 35 days
B. 40 days
C. 45 days
D. 50 days
E. None of these
Direction (62 – 66) : Study the following information carefully and answer the given questions. There were some red, some green and some white balls in a bag. Probability of drawing 1 white ball from the bag is 1/3 . If there were 6 more red balls in the bag, the probability of getting 1 green ball would have been 1/30 less.
62. If ratio of number of red balls and white balls is 7 : 5, then what is the probability of drawing 2 balls such that one is red and other is white?
A. 5/29
B. 14/87
C. 15/58
D. 28/87
E. None of these
63. If sum of red, green and white balls is 30, then what is the probability of drawing 2 white ballsfrom the bag?
A. 3/29
B. 5/58
C. 9/58
D. 10/87
E. None of these
64. If Probability of drawing 1 green ball from the bag is 1/5 , then what is the probability of drawing 2 balls such that none of them is red?
A. 3/29
B. 4/29
C. 8/29
D. 8/87
E. None of these
65. If sum of green and white balls is 16, then what is the probability of drawing 2 balls of same colour?
E. None of these
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66. If probability of drawing 1 ball such that it is not green is 4/5 , then sum of the number of red and white balls is
A. 20
B. 30
C. 24
D. 16
E. None of these
67. In the family of Amit, there are 4 members- Amit, his wife, his only son and his only daughter. Three years ago, age of Amit was 4 years more than the sum of the ages of his son and daughter, then what is the present age of their daughter?
I. Amit's wife is 7 years younger to him and her present age is twice the present age of their son.
II. Three years hence, the respective ratio between the ages of his daughter and his son will be 6 : 5.
III. Two years hence, the age of Amit will be 1 years less than the sum of the ages of his son and daughter.
Which of the following statement(s) is/are sufficient to answer the question?
A. All the three statements together
B. Only statement III
C. Only statements II and III together
D. Only statements I and III together
E. Only statements I and II together
68. A starts a business with Rs. 60,000. After 3 months B joins the business with investment Rs. 45,000. At the end of the year share of A in the total profit is Rs.________. If they earned 40% profit on their total investment in the business at the end of the year, then which of the following will fill in the blank?
A. Rs. 15120
B. Rs. 20160
C. Rs. 25280
D. Rs. 26880
E. None of these
Directions (69 - 73): Study the following information carefully and answer the given questions.
In a school 4 students A, B, C and D appeared in an English examination which is consist of 15 short and 4 long questions are asked. Each of short question carry 5 marks and each of long questions carry 10 mark and for a spelling error 0.5 mark is deducted. For not attempting a question, zero marks is awarded. In the English exam, A answered (x + 6) short questions, x long questions and did (2x + 10) spelling errors. Ratio of number of spelling errors made by A and B is 8 : 3. Total marks scored by D is 86. Ratio of short and long questions answered by B In the English exam is 5 : 1 and he scored total 102 marks. C scored 35 marks more in short questions than long questions except spelling errors and the number of spelling errors made by C is equal to the difference of the number of spelling errors made by A and B. Number of short questions answered by D is average of that answered by A and B. Percentage of number of long questions answered among all the question answered by D is 20%. Average of the number of spelling errors made by all four students A, B, C and D is 10. Each student attempts integral number of short as well as long questions.
69. Total marks scored by A is how much less than the total marks scored by B is
A. 30
B. 33
C. 35
D. 39
E. None of these
70. Average number of short questions answered by A, B, C and D is 11.75, then the total marks scored by C in the English exam is
A. 70
B. 75
C. 86
D. 93
E. None of these
71. Ratio of the total number of questions answered by B and that by D is
A. 4 : 3
B. 4 : 5
C. 6 : 5
D. Cannot be determined
E. None of these
72. A student E, scored 30 marks more than that by C, whose total marks is more than that by A but less than that by D. If the number of spelling errors made by E are 10 more than that by C, then the total marks scored by C is what percent less than that by E?
A. 37.5%
B. 33 1/3%
C. 25%
D. 30%
E. None of these
73. Sum of the total number of long questions answered by A, B and D is
A. 7
B. 8
C. 9
D. 10
E. None of these
Direction (74 – 78) : Study the following information carefully and answer the given questions. The following chart shows the opening, closing, high and low price of a share of a company XYZ on given 5 days-Monday, Tuesday, Wednesday, Thursday and Friday. Opening and closing price of the shares of the company XYZ are represented by ceiling and floor of the black box and floor and ceiling of the white box respectively. The high and low price of the share of the company XYZ are represented by ceiling and floor of the line respectively.
For example: On Monday, opening price = 60, closing price = 52, high price = 66 and low price = 40
74. What is the ratio of average high price and average low price of the share of the company XYZ on Monday, Tuesday, Wednesday and Friday?
A. 4 : 3
B. 5 : 4
C. 5 : 3
D. 10 : 3
E. None of these
75. A trader, bought 150 shares of the company XYZ on opening price of Tuesday and sold 40% these shares on highest price of the share on Thursday and rest on opening price of Friday. Rate of commission while buying the shares is Flat Rs. 200 and while selling it is 8% of the selling price, then what is the total loss incurred by the trader in this transaction?
A. Rs. 488
B. Rs. 542
C. Rs. 552
D. Rs. 826
E. None of these
76. A trader, bought X shares of the company XYZ on Wednesday and sold 20% of the shares on Wednesday itself. If he sold 4/9th of the remaining shares on closing price of the Thursday and the remaining shares on opening price of Friday. If rate on commission while selling the shares is Rs. 100 for sales amount upto Rs. 3000 and 10% above that amount. If on Friday he gets Rs. 5240 for selling shares after deduction of commission, then the value of x is
A. 240
B. 270
C. 300
D. 360
E. None of these
77. A trader, bought 250 shares of the company XYZ on Monday. Commission while buying shares per lot (each time) up to Rs. 5000 is flat Rs. 250 and above that 5% of the difference amount. He sold 3/5th of shares on Tuesday closing price and remaining at high price of Wednesday. Commission while selling shares per lot (each time) up to Rs. 4000 is flat Rs. 100 and above that 8% of the difference amount. In this transaction he made profit of Rs. 130, then at what price he bought the shares?
A. Rs. 52
B. Rs. 65
C. Rs. 54
D. Rs. 56
E. None of these
78. Average closing price of shares of the company XYZ is what percent more than the average opening price for the given 5 days?
A. 5%
B. 20%
C. 10%
D. 8%
E. None of these
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.
79. In an examination, Ravi scored ‘x’% marks but failed by 102 marks. In the same examination Ram scored (3x – 4) % marks, thus scored 78 marks above passing marks. Find the value of ‘x’.
Statement I: Maximum marks of the examination are 600.
Statement II: Difference between the marks obtained by Ravi and Ram is 180.
A. The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
B. The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C. The data either in Statement I or in Statement II alone are sufficient to answer the question.
D. The data in both Statements I and II together are necessary to answer the question.
E. The data even in both Statements I and II together are not sufficient to answer the question.
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.
80. Find the length of Train A.
Statement I: Train A of length (x + 50) m can cross a man moving at the speed of 5 m/s in the opposite direction of that of train A in 10 seconds. It can cross the same man in 15 seconds if he is moving in the same direction.
Statement II: Train A of length (x + 50) m can cross another train B of length (x + 150) m moving in the opposite direction at a speed of 10 m/s in 20 seconds. It can cross train B in 28 seconds if train B is standing on the platform.
A. The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
B. The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C. The data either in Statement I or in Statement II alone are sufficient to answer the question.
D. The data in both Statements I and II together are necessary to answer the question.
E. The data even in both Statements I and II together are not sufficient to answer the question.
