State Bank of India Probationary Officers (Pre.) Examination-2019 Held on 19-06-2019
Quantitative Aptitude
1. A started a business with an investment of Rs 4,000. Four months from the start of the business, B joined with Rs 4,800 and two months after B’s joining, C joined with Rs X. If out of total annual profit of Rs 10,400, C’s share was Rs 3,200, what was the value of X?
(A) Rs 7,200
(B) Rs 8,000
(C) Rs 4,800
(D) Rs 6,400
(E) Rs 5,600
Directions-(Q. 2-6) Study the following data to answer the given questions-
An amusement park offers different discounts on various entry passes. The discount offered (on the actual price for the number of days) for 2 days, 3 days, 5 days and 10 days entry pass is 5%, 10% Y% and 20% respectively. The total amount paid for one 1 day pass and 2 days pass was Rs 3,480.
Note: The price is inclusive of taxes. No discount was offered on 1 day entry pass.
2. If the difference between the total amount paid for five 1 day passes and that paid for one 5 day pas was Rs 720, what was the value of Y?
(A) 14
(B) 15
(C) 12
(D) 18
(E) 16
3. Sucheta bought one 2 days pass and two 3 days passes. What was the total amount paid by Ms. Sucheta?
(A) Rs 8,640
(B) Rs 8,760
(C) Rs 8,860
(D) Rs 8,520
(E) Rs 8,940
4. Bhulelal purchased two 10 days passes and got an additional discount of 5% on the total bill amount. What was the amount paid by Mr. Bhulelal?
(A) Rs 18,620
(B) Rs 18,430
(C) Rs 18,810
(D) Rs 18,050
(E) Rs 18,240
5. What is the difference between the discount offered (in Rs) on one 2 days entry pass and that offered on one 3 days entry pass?
(A) Rs 160
(B) Rs 240
(C) Rs 200
(D) Rs 250
(E) Rs 300
6. What is the price of one 1 day pass?
(A) Rs 800
(B) Rs 1,000
(C) Rs 600
(D) Rs 1,500
(E) Rs 1,200
Directions-(Q. 7-11) In this question, a number series is given. Only one number is wrong which doesn’t fit in the series. Find out the wrong number?
7. 50 59 41 68 33 77 23
(A) 77
(B) 68
(C) 41
(D) 33
(E) 59
8. 2 3 4 12 48 240 1440
(A) 12
(B) 4
(C) 48
(D) 3
(E) 240
9. 200 197 186 168 144 118 82
(A) 186
(B) 168
(C) 197
(D) 144
(E) 118
10. 9 5 6 5 23 90 183
(A) 23
(B) 5
(C) 90
(D) 6
(E) 10.5
11. 318 168 78 38 18 8 3
(A) 168
(B) 18
(C) 78
(D) 38
(E) 8
12. Four years hence A’s age will be twice of B’s age eight years hence. Six years ago. A’s age was thrice of B’s age two years ago. What is A’s present age? (in years)
(A) 48
(B) 27
(C) 36
(D) 24
(E) 30
Directions-(Q. 13-18) Refer to the pie chart and answer the given questions-
13. The number of tickets booked for all five trains together on Tuesday increased by 24% as compared to the previous day. What was the number of tickets booked for all five trains together on Tuesday?
(A) 682
(B) 744
(C) 640
(D) 620
(E) 806
14. The number of tickets booked by male customers for Train A was 24 less than that booked for Train C. If the total number of tickets booked by female customer for Trains A and C together was 57, what was the number of ticket booked by male customers for Train C?
(A) 88
(B) 92
(C) 96
(D) 76
(E) 84
15. Out of the total number of tickets booked for Train D, 40% were booked by female customers. What is the number of tickets booked for Train D by male customers?
(A) 36
(B) 42
(C) 48
(D) 45
(E) 30
16. What is the average number of tickets booked for Trains A, B and D?
(A) 89
(B) 95
(C) 85
(D) 84
(E) 83
17. What is the central angle corresponding to the total number of tickets booked for train B? (in degrees)
(A) 43.2
(B) 50.4
(C) 58.4
(D) 64.8
(E) 57.6
18. What is the difference between the number of tickets booked for train D and that booked for train E?
(A) 50
(B) 45
(C) 40
(D) 55
(E) 35
19. Vessel A contains 180 litres mixture in which the respective ratio between quantities of milk and water was 11 : 4. 40% mixture is taken out from the vessel and poured into vessel B. If after adding X litre water in Vessel B, quantity of water became 34%, what was the value of X?
(A) 8
(B) 18
(C) 12
(D) 10
(E) 6
Directions-(Q. 20-25) Refer to the graph and table to answer the given questions-
20. Out of the number of burgers (vegetarian + non-vegetarian sold on Sunday, approximately what per cent burgers were vegetarian?
(A) 46
(B) 36
(C) 41
(D) 52
(E) 32
21. Out of the number of vegetarian burgers sold on Saturday, three-seventh were sold as a part of a meal combo. What was the number of vegetarian burgers sold on Saturday as a part of a meal combo?
(A) 21
(B) 18
(C) 24
(D) 12
(E) 15
22. The number of burgers (vegetarian + non-vegetarian) sold decreased by what per cent from Saturday to Monday?
(A) 25
(B) 30
(C) 35
(D) 20
(E) 40
23. What is the total number of non-vegetarian burgers sold on Saturday and Sunday together?
(A) 120
(B) 110
(C) 130
(D) 126
(E) 118
24. What is the respective ratio between the total number of vegetarian burgers sold on Monday and Tuesday together and that of non-vegetarian burgers sold on the same days together?
(A) 17 : 23
(B) 17 : 26
(C) 19 : 23
(D) 19 : 26
(E) 16 : 23
25. Out of the number of burgers (vegetarian + non-vegetarian) sold on Tuesday, the respective ratio between the number of burgers sold to female customers and that to male customers was 7 : 5. What was the number of burgers sold to female customers?
(A) 42
(B) 35
(C) 56
(D) 49
(E) 21
26. 30 men can complete a work in 42 days and 56 women complete it in 35 days. 18 men started working and after 7 days left. If the remaining work was completed by 56 women, in how many days was the entire work completed?
(A) 
(B) 
(C) 
(D) 
(E) None of these
Directions-(Q. 27-31) In this question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option.
27. (I) x2 – 9x + 18 = 0
(II) 2y2 – 5y + 2 = 0
(A) x > y
(B) Relationship between x and y cannot be established
(C) x < y
(D) x ≤ y
(E) x ≥ y
28. (I) 2x2 – 5x + 3 = 0
(II) y2 – 7y + 10 = 0
(A) x > y
(B) Relationship between x and y cannot be established
(C) x < y
(D) x ≤ y
(E) x ≥ y
29. (I) x2 + 3x – 40 = 0
(II) y2 – y – 72 = 0
(A) x > y
(B) Relationship between x and y cannot be established
(C) x < y
(D) x ≤ y
(E) x ≥ y
30. (I) x2 – 3x + 2 = 0
(II) y2 – 6y + 8 = 0
(A) x > y
(B) Relationship between x and y cannot be established
(C) x < y
(D) x ≤ y
(E) x ≥ y
31. (I) x2 – 6x + 9 = 0
(II) y2 – 10y + 25 = 0
(A) x > y
(B) Relationship between x and y cannot be established
(C) x < y
(D) x ≤ y
(E) x ≥ y
32. Rs X was invested in scheme A (offering simple interest @ R% p.a.) and Rs ‘2x’ was invested in scheme B (offering simple interest @ R + 10% p.a.). If the respective ratio between the interest received from scheme A after 3 years and that received from scheme B after 4 years was 9 : 40, what was the value of R?
(A) 10
(B) 15
(C) 20
(D) 18
(E) 12
33. The total cost of gravelling (@ Rs. X per m2) a circular field is 25% more than the cost of fencing (@ Rs X per m) same circular field. What is the circumference of the circular field? (in m)
(A) 110
(B) 132
(C) 88
(D) 44
(E) 66
34. A boat takes 3 hours more to travel upstream from X to Y than the time it takes to travel downstream from Y to Z. The speed of the boat downstream is 27 km/hr and that upstream is 21 km/hr. If the distance between X and Y is 51 km more than that between Y and Z, what is the distance between X and Y? (in km)
(A) 64
(B) 105
(C) 54
(D) 68
(E) 72
35. Train A while travelling at a speed of 48 km/h crosses a vertical pole in 18 seconds. Train B crosses the vertical pole in 30 seconds. If the length of Train B is 60 m more than that of Train A, what is the speed of train B? (in km/hr)
(A) 36
(B) 45
(C) 54
(D) 63
(E) 27
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