Quantitative Aptitude RRBs Assistants - Prelims Model Paper

1. The respective ratio between the number of boys and the number of girls is 8 : 9. If 30% of boys and 40% girls have enrolled for learning German language, what percent of students approximately have not enrolled for learning German language?
1) 55
2) 70
3) 40
4) 65
5) 78

2. Five years from now, Sunaina's age will be 3/4 days of Aarti's age that time. If the respective ratio between Sunaina's age five years ago and Aarti's age that time was 2 : 3. What is Aarti's present age? (in years)
1) 25
2) 40
3) 20
4) 35
5) 30

3. A and B together complete a piece of work in 26 ⎯ days. If A alone takes 3 more days to 3 complete the same piece of work than the number of days taken by B alone. How many days B alone takes to complete the work?
1) 18 days
2) 15(1/2) days
3) 12 (1/2) days
4) 12 days
5) 15 days




4. The four angles of a quadrilateral are A1, A2, A3 and A4. The sum of A1 and A2 is greater
than A3 by 20° and A4 is greater than A3 by 70°. What is the sum of A1 and A2?
1) 100°
2) 90°
3) 110°
4) 120°
5) 40°

5. Out of a total sum of Rs.22,400, Ram invested a certain amount in scheme A and the remaining amount in scheme B. Scheme A offers interest at 8 p. c. p. a. and scheme B offers simple interest at 6 p. c. p. a. Ram invested in both the schemes for 2 years. If the total interest earned by him from both the schemes after two years is Rs. 3,280. What is the respective ratio between amount invested by him in scheme A to that in scheme B?
1) 37 : 19
2) 37 : 21
3) 39 : 17
4) 39 : 19
5) 39 : 23

6. A boat can travel 3.9 km downstream in 13 minutes. If the speed of the current is 3 kmph,
what distance (in km) the boat can travel upstream in 28 minutes?
1) 5.8
2) 4.8
3) 5.2
4) 6.2
5) 5.6

7. A, B and C started a business by investing Rs. 16,000, Rs. 26,000 and Rs. 36,000 respectively. After 4 months from start of the business, B withdrew Rs. 6,000 and C withdrew Rs. 12,000. If at the end of a year, the total profit was Rs. 21,450 is earned, what is the share of A?
1) Rs. 5,600
2) Rs. 5,800
3) Rs. 4,800
4) Rs. 6,000
5) Rs. 5,200

8. A train running at 75 kmph takes 24 seconds to pass a platform. Next it takes 11 seconds to
cross a man walking at 3 kmph in the same direction in which the train is going. What is the length of the platform? (in m)
1) 280
2) 296
3) 272
4) 300
5) 260

9. Every month Piyush gives 20% of his monthly salary to his wife and 10% to each of his one
son and one daughter. He spends 30% of the remaining salary on buying groceries and rest of the salary he deposits in his bank account. If in an year he is able to deposit Rs.2,74,932 in his bank account, how much money did he give to his son and daughter together?
1) Rs.10,910
2) Rs.15,960
3) Rs.12,245
4) Rs.16,365
5) Rs.11,280

10. There was 75 litres of pure milk in a vessel. 24% of the milk was taken out and replaced with equal quantity of water, then 20 litres of the mixture of milk and water was taken out. After this 5 litres of milk and 10 litres of water were added to the mixture. What is the respective ratio of water and milk in the final mixture?
1) 52 : 119
2) 56 : 117
3) 58 : 117
4) 58 : 119
5) 64 : 117

11. A tank is 3/5 empty. When 26 litres of water is added it becomes 12/17 full, what is the capacity of the tank? (in litres)
1) 60
2) 85
3) 75
4) 80
5) 50

12. Of the three numbers the average of the first and second number is greater than the average
of the second and the third number by 39,  then what is the difference between the first and the third number?
1) 72
2) 84
3) 66
4) 64
5) 78

13. In an examination, a student scores 6 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts in all 74 questions and secures 196 marks, what is the number of questions attempted correctly?
1) 43
2) 39
3) 49
4) 45
5) 41

Directions (Q. 14-18): Study the following information carefully and answer the questions that follow.
A company produces for different products viz., mobile phones, television, refrigerators and computers. Each of the products has two categories, viz., category A and B. The total number of all the products is 900. 25% of the total number of products is computers and one-third of the total number of products is televisions. 32% of the total products are refrigerators. 50%, each of the total number of televisions as well as the total number of refrigerators is of category A. 40% of the total number of computers is of category B. One-third of the total number of mobile phones is of category B.

14. What is the total number of television of category A, refrigerators of category B and mobile
phones of category B together?
1) 225
2) 323
3) 325
4) 223
5) None

15. Number of computers of category B is approximately, what percent of the total number of
refrigerators?
1) 29%
2) 31%
3) 37%
4) 43%
5) 47%

16. What is the average numbers of products of category A together?
1) 119.25
2) 115.5
3) 121.75
4) 102
5) 106

17. What is the respective ratio between the number of televisions of category B and the number
of computers of category A?
1) 3 : 5
2) 5 : 3
3) 10 : 9
4) 5 : 6
5) None of these

18. What is the difference between the number of mobiles phones of category B and the total
number of computers?
1) 146
2) 176
3) 167
4) 156
5) 196