(Paper) RRB ALP Paper Stage-2 : Exam Paper & Answer Key Held on 23-Jan-2019 Shift-3 (Mathematics)
(Paper) RRB ALP Paper Stage-2 : Exam Paper &
Answer Key Held on 23-Jan-2019 Shift-3
(Mathematics)
Q1. Two planes E and F start flying from the same point. E flies 7 km west, then turns to its left and flies 15 km. Meanwhile F flies 11 km east and turns right and flies 15 km. Where is F with respect to E?
a. F is 18 km east of E
b. F is 18 km west to E
c. F is 4 km west to E
d. F is 4 km east to E
Answer:- A
Q2. Tap M and N can together fill a certem in 48/13 minutes. N alone can fill it in 6 minutes. How much time will M alone take to fill the cistern?
a. 9 Minutes
b. 9.4 Minutes
c. 8.6 Minutes
d. 9.6 Minutes
Answer:- D
Q3. A machine was bought for Rs. 1,500 and a repairing charge of Rs. 100 was paid afterwards. At what price should it be sold to gain a profit of 25%?
a. Rs. 2,000
b. Rs. 1,960
c. Rs. 1,920
d. Rs. 2,040
Answer:- A
Q4. A can do ⅖ of work in 10 days B can do ½ of the same in 10 days. They worked together for 5 days and then A left. In how many days will B finish the remaining work?
a. 11
b. 8
c. 9
d. 10
Answer:- B
Q5. The ages of X and Y are in the ratio 4:7. Three years earlier, the ratio of their ages was 1:2. What is the difference between their current ages (Y - X)?
a. 6
b. 3
c. 9
d. 7.5
Answer:- C
Q6. An object starts from rest at x= 0m and moves with a constant acceleration of 1.6 m/s² Along the x-axis. During its journey from x- 12.8m to x-axis. During its journey from x- 12.8 m to x- 20.0 m, its average velocity will be _______.
a. 7.2 m/s
b. 8.8 m/s
c. 2.4 m/s
d. 3.6 m/s
Answer:- A
Q7. The pie chart shows the backup in percentages of the various expenses of a Company. Study the diagram and answer the following question.
![](https://rrbexamportal.com/sites/default/files/alp-papers-shift-2-held-on-23-jan-2019-shift3-maths-q7.jpg)
What is the interest expenses if total expenses are Rs. 25,000 approximately?
a. Rs. 2,500
b. Rs. 5,000
c. Rs. 9,000
d. Rs. 1,800
Answer:- A
Q8. What is 80% of 50% of 90?
a. 30
b. 60
c. 32
d. 34
Answer:- B
Q9. What is the unit’s digit in 366 x 641 x 753
a. 7
b. 6
c. 3
d. 8
Answer:- A
Q10. A car covers 400 m in 20 seconds. Find the average speed (in km/hr) of the car.
a. 36
b. 72
c. 108
d. 124
Answer:- B
Q11. A sum of Rs. 2,000 was spent in buying a pair of trousers. The sun spent was ⅖ th of the total money Shashi had with her. How much was the total money she had?
a. Rs. 5,000
b. Rs. 4,000
c. Rs. 4,250
d. Rs. 4,750
Answer:- A
Q12. sec 45° - tan 60° = ?
a. -√3 - √2
b. √3/2
c. -√3 + √2
d. √3 + √2
Answer:- C
Q13. An article was sold for Rs. 12,000. Had a discount of 15% been offered, a profit of 2% would have been made. What was the cost price?
a. Rs. 10,000
b. Rs. 10,800
c. Rs. 10,200
d. Rs. 11,000
Answer:- A
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Q14. What is the distance between the points (4,3) and (3,-2)?
a. √26
b. √24
c. 5
d. 6
Answer:- A
Q15. If x = √125 X √30 X √6, then x is equal to:
a. 150
b. 125
c. 136
d. 175
Answer:- A
Q16. What is the last number which when doubled is perfectly divisible by 7,12 and 15 ?
a. 210
b. 220
c. 215
d. 214
Answer:- A
Q17. A salesperson starts from his office and drives 2 km east, then turns north and drives 7km, then turns to his right and drives 6 km, then turns south and drives 7 km. where is now with respect to his starting position?
a. 8 km West
b. 8 km East
c. 4 km West
d. 4 km East
Answer:- B
Q18. If sin Ө = 15/17 , then cot Ө = ?
a. 8/17
b. 17/15
c. 15/8
d. 8/15
Answer:- D
Q19. A motorcycle travelled 1000 m at 36 km/hr. Find the time (in seconds) taken by the motorcycle to over this distance.
a. 400
b. 100
c. 200
d. 300
Answer:- B
Q20. A number is as much greater than 50 as it is lesser than 84. What is the number?
a. 68
b. 65
c. 67
d. 66
Answer:- C
Q21. An airplane flies at a speed of 50 m/s. How much distance (in km) will it cover in a fight of 5 hours?
a. 850
b. 900
c. 895
d. 880
Answer:- B
Q22. What is the median of 8,5,7,9,11,6,10 ?
a. 1
b. 8
c. 9
d. 7
Answer:- B
Q23. Reflection of point (-2,-6) on the Y-axis is:
a. (-2,6)
b. (-6,-2)
c. (2,-6)
d. (2,6)
Answer:- C
Q24. A sum of Rs. 10,000 amounts to Rs. 11,449 in 2 years, when the interest is compounded annually. The interest rate percent per annum is:
a. 7%
b. 8%
c. 6%
d. 1%
Answer:- A
Q25. A 4-digit number 1xy7 is divisible by 11. What is the value of x-y?
a. -6
b. -4
c. -8
d. -2
Answer:- A