IBPS Specialist Officer I.T. (Pre.) Examination-2019 Held on 29-12-2019
Quantitative Aptitude
Directions-(Q. 1-5) Study the pie chart and answer the given question.
Given pie chart shows the percentage distribution of five different types (A, B, C, D and E) of employees in an organizations in two different years-2015 and 2016.
1. If a total of 240 E type workers left the company at the end of 2015, how many E type of worker joined the company in 2016?
(A) 920
(B) 960
(C) 980
(D) 880
(E) 860
2. If a total number of 1200 A type of workers joined the company in 2016, then find how many A type of workers left the company in 2015?
(A) 100
(B) 300
(C) 160
(D) 240
(E) 360
3. In terms of the difference in number of workers for which of the following types of employee was minimum between 2015 and 2016?
(A) A
(B) B
(C) D
(D) C
(E) E
4. What was the difference between D type workers in 2015 and B type workers in 2016?
(A) 800
(B) 700
(C) 600
(D) 1000
(E) 900
5. Find the respective ratio of total number of workers of Type B and type C together in 2015 to the total number of workers of Type B and Type E together in 2016?
(A) 34 : 45
(B) 37 : 34
(C) 45 : 37
(D) 45 : 34
(E) 38 : 43
6. A mixture contains milk and water in the ratio 5 : 3. If 20 litres of water added to the mixture, the ratio of milk and water becomes 3 : 2. Find the quantity of milk in the original mixture.
(A) 320 litres
(B) 280 litres
(C) 250 litres
(D) 300 litres
(E) 200 litres
7. A, B and C centred into a partnership with investment in the ratio 5 : 4 : 6. After one year A doubled his investment and C withdrew half of his investment amount. At the end of two years, they earned a profit of Rs 96000, find the sum of the shares of B and C in the profit.
(A) Rs 47000
(B) Rs 49000
(C) Rs 51000
(D) Rs 53000
(E) None of the above
Directions-(Q. 8-12) Study the following information carefully and answer the question given.
There are total 24000 workers working in a company, each one is from one among the five states viz., Kerala, Karnataka, Jharkhand, Bihar and Punjab.
Respective ratio of males and females among them is 7 : 5. 25% of the total number of males are from Bihar. Respective ratio of number of females from Jharkhand and number of males from Bihar is 4 : 7. Number of males from Jharkhand is 10% more than the number of females from that state. 18% of the females are from Kerala. 25% of the total number of workers are from Kerala. Number of males from Punjab is 80% of the number of males from Kerala. Number of females from Karnataka is 20% more than the number of males from that state. 30% of the total number of females are from Bihar.
8. Total number of males from Bihar is approximately what per cent of the total number of workers from Jharkhand?
(A) 69%
(B) 63%
(C) 83%
(D) 67%
(E) 49%
9. What is the respective ratio of total number of workers from Kerala and total number of workers from Bihar?
(A) 13 : 14
(B) 12 : 13
(C) 11 : 12
(D) 10 : 11
(E) None of the above
10. What is the average number of males of Kerala, Karnataka, Jharkhand and Punjab?
(A) 4025
(B) 3125
(C) 2875
(D) 2625
(E) None of the above
11. Number of female workers are maximum from which of the following state?
(A) Kerala
(B) Karnataka
(C) Jharkhand
(D) Bihar
(E) Punjab
12. Find the difference between number of female workers from Jharkhand and Bihar together and number of female workers from Karnataka and Punjab together?
(A) 2000
(B) 2400
(C) 1600
(D) 1800
(E) 1500
13. In a town males and females are in the ratio 3 : 2. Out of males 25% are children and rest are adults. If the adults male population of the town is 8100, find the total population of the town.
(A) 22000
(B) 24000
(C) 20000
(D) 18000
(E) 16000
14. Compound interest on a certain sum at the rate of 12% per annum after 2 years is Rs 142464. Find the simple interest on that sum at the rate of 15% per annum for 7 years.
(A) Rs 588000
(B) Rs 568000
(C) Rs 586000
(D) Rs 566000
(E) Rs 576000
15. Four years ago, average of the ages of Pinki, Rinki and Tinki was 26 Average of the present ages of Rinki and Tinki is 28 years. Present age of Pinki is what per cent of the present average age of all of them.
(A) 123.33%
(B) 113.33%
(C) 103.33%
(D) 93.33
(E) 86.33%
Directions-(Q. 16-20) Study the table carefully to answer the given question.
Number of people (in thousands) staying in 6 different cities and the percentage of men, women and children in those cities.
16. What is the ratio of number of woman from city R to that fro city T?
(A) 8401 : 9135
(B) 7325 : 8462
(C) 9124 : 10131
(D) 6487 : 7758
(E) None of the above
17. Which city has the lowest number of children?
(A) R
(B) S
(C) T
(D) Q
(E) U
18. Total number of people from city U is approximately what per cent of the total number of people from all cities together?
(A) 28
(B) 11
(C) 6
(D) 24
(E) 19
19. Total number of women from city S forms what per cent of that from city P? (round off to two digits after decimal)
(A) 87.08
(B) 124.68
(C) 114.84
(D) 92.16
(E) None of the above
20. What is the average number of men from all the cities together?
(A) 21450
(B) 23200
(C) 19445
(D) 18620
(E) None of the above
21. There are 3 points P, Q and R in a straight line, such that point Q is equidistant form points P and R. A man can swim from point P to R downstream in 24 hours and from Q to P upstream in 16 Find the ratio of speed of man in still water to speed of stream?
(A) 5 : 1
(B) 6 : 1
(C) 5 : 3
(D) 7 : 1
(E) 1 : 7
22. 20 men, 12 women and 18 boys were given a project of doing 3960 designs of a building in 5 days. The ratio of the number of designs made by them respectively in 1 day is 3 : 2 : 1. If on the 1st day all of them worked, on the 2nd day 4 women and 6 boys went absent and on the 3rd day, 6 men and 10 boys went absent but still the work got finished on the 3rd Then find the number of designs designed by them on the 3rd day?
(A) 1021
(B) 1110
(C) 1621
(D) 1210
(E) 1560
23. There are 5 consecutive odd and 3 consecutive even numbers. The sum of the five consecutive odd number is 125 and the lowest even number is 6 more than the twice of average of 5 consecutive odd number. Find the ratio between the lowest odd number and highest even number?
(A) 11 : 27
(B) 15 : 34
(C) 9 : 23
(D) 7 : 20
(E) 15 : 22
Directions-(Q. 24-28) In this question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option and answered as:
(A) x > y (B) x ≥ y
(C) x < y (D) x ≤ y
(E) x = y or relationship cannot be established
24. (I) 15x2 – x – 28 = 0
(II) y2 – 5y + 6 = 0
25. 
26. (I) x2 – 117x – 1000 = 0
27. (I) x2 – 8x – 65 = 0
(II) y2 + 8y – 48 = 0
28. (I) x2 + 32x + 255 = 0
(II) y2 – 3y – 270 = 0
29. Speed of a man in still water is 16 km/hr and the river is running at 6 km/hr. The total time taken to go to a place and come back is 8 hours. Find the total distance travelled by the man?
(A) 46 km
(B) 55 km
(C) 42 km
(D) 33 km
(E) None of the above
30. A man sold an article at 24% discount on the marked price, yet he got 15% profit on the cost price. If the cost price of the article is Rs 152, then selling price is what per cent of marked price?
(A) 84%
(B) 70%
(C) 76%
(D) 80%
(E) None of the above
31. A man invests 28% of his salary on lodging and fooding and 25% of remaining on children’s education and saves the remaining amount. If he spends Rs 5400 each month on children’s education then find his yearly salary.
(A) Rs 4,00,000
(B) Rs 3,60,000
(C) Rs 2,40,000
(D) Rs 2,50,000
(E) Rs 4,20,000
Directions-(Q. 32-36) In the following number series a wrong number is given. Find out the wrong number.
32. 2 11 38 197 1172 8227 65806
(A) 11
(B) 38
(C) 197
(D) 1172
(E) 8227
33. 7.5 47.5 87.5 157.5 247.5 357.5
(A) 357.5
(B) 87.5
(C) 157.5
(D) 7.5
(E) 47.5
34. 13 16 21 27 39 52 69
(A) 21
(B) 39
(C) 27
(D) 52
(E) 16
35. 1500 1581 1664 1749 1833 1925 2016
(A) 1581
(B) 1664
(C) 1833
(D) 1925
(E) 1749
36. 16 19 21 30 46 71 107
(A) 19
(B) 21
(C) 30
(D) 46
(E) 71
37. 2 dice are thrown simultaneously. What is the probability that the sum of the numbers on the faces is divisible by either 3 or 5?
(A) 7/36
(B) 19/36
(C) 9/36
(D) 2/7
(E)
38. In an examination, Mani scored 45% marks and failed by 18 marks. In the same examination, Radhika scored 54% marks and get 27 marks more than the passing marks. What is the score of Mohan in the same examination, who secured 75% marks?
(A) 420
(B) 440
(C) 375
(D) 360
(E) None of the above
39. Two trains are running at 60 kmph and 42 kmph respectively in same direction. Fast train completely passes a man sitting in the slower train in 30 sec. What is the length of the faster train?
(A) 100 m
(B) 125 m
(C) 150 m
(D) 175 m
(E) None of the above
Directions-(Q. 40-44) Study the bar graph and answer the given question.
40. If number of students in ME Branch in college B is 120 and ECE students in college A is 50% more than ECE students in college B, then find the ratio of ME branch students in college A to that in college B?
(A) 14 : 5
(B) 12 : 5
(C) 2 : 1
(D) 5 : 3
(E) 12 : 7
41. If total number of students in college D is 480 and CS branch students in college D and E together is 282, then find the difference between the total students in college D and E?
(A) 20
(B) 50
(C) 25
(D) 30
(E) None of the above
42. If average number of ECE branch students in college B and C is 140 and ECE branch students in College B is 
more than ECE branch students in college C, then the total students in college B is what per cent of total student in college C?
(A) 50%
(B) 150%
(C) 100%
(D) 200%
(E) None of the above
43. If difference between ME and CS student in college A is 40 then find average of ECE and CS student in this college?
(A) 240
(B) 320
(C) 360
(D) 130
(E) None of the above
44. Number of ECE and CS branch students together in College D is what per cent more/less than the number of ME branch students in that college?
(A) 300%
(B) 200%
(C) 100%
(D) 150%
(E) None of the above
Directions-(Q. 45-47) Two quantities that is I and II are given in the following questions. You have to find out the values of the quantities and answer them according to given options by comparing their numerical values.
(A) Quantity I > Quantity II
(B) Quantity I < Quantity II
(C) Quantity I ≥ Quantity II
(D) Quantity I ≤ Quantity II
(E) Quantity I = Quantity II or No relation
45. Quantity I : A bag contains five red balls, six green balls, ‘a’ yellow balls and ‘b’ blue balls. Probability of drawing one yellow ball is 1/6 while, probability of drawing one blue ball is 2/9. If two balls are drawn from bag without replacing, then find probability that one of them is red and other is yellow.
Quantity II : A bag contains dices only in three colours, eight green colour dice, ‘x’ blue colour dice and ‘y’ yellow colour dice. Probability of drawing one blue dice is 7/20, while probability of drawing one yellow dice is ¼. If two dices are drawn at random without replacement, then find the probability that one of them is blue and the other is green.
46. Quantity I : A cylindrical vessel with radius and height of 17.5 cm and 18 cm respectively is filled 80% of its capacity with milk. If total milk from cylindrical vessel transferred into 30 cuboidal vessels whose length and breadth is 7 cm and 3 cm respectively. Find height of each cuboidal vessel?
Quantity II : Breadth of a rectangle is 18 cm and ratio between length of rectangle an side of square is 12 : 11. If perimeter of square is 4 cm more than the perimeter of rectangle, find side of the square.
47. Quantity I : A boat takes double time in covering the same distance in upstream as compared to downstream. If boat covers 96 km in downstream and 72 km upstream in total 20 hours. Find the time taken by boat to cover 240 km in downstream.
Quantity II : Distance between Point A and Point B is 720 km. A car covered 1/3rd of its distance with usual speed and remaining with 20% increase speed. If car takes total 10 hours 40 minutes to cover the total distance, then find in what time car will cover a distance of 1200 km with its usual speed.
48. If the S.I on a sum of money for 3 years at 10% per annum is Rs 15000, what is the C. I. on the same sum of money at the same rate and for the same time?
(A) 17250
(B) 16550
(C) 16750
(D) 17450
(E) None of the above
49. The average weight of 3 female P, Q and R is 42 kgs. Another female S joins the group and the average now becomes 40 kg. If another female T, whose weight is 2 kg more than that of S, replaces P, then the average weight of Q, R, S and T become 39 kg. The weight of P is-
(A) 20 kg
(B) 30 kg
(C) 40 kg
(D) 50 kg
(E) None of the above
50. The average of a 2-digit number and another 2-digit number with same digits as first number but interchanged places, is 55. If the difference of the squares of the individual digits of 2-digt number is 20, what is the difference between the individual digits of 2-digit number?
(A) 1
(B) 2
(C) 5
(D) 4
(E) 3
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