(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.
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