(Paper) RRB ALP Paper Stage-2 : Exam Paper & Answer Key Held on 23-Jan-2019 Shift-3 (Mathematics)
Q1. A vendor buys a certain number of bananas at pieces for ‘ and sells then at pieces for 8. What will be his percentage profit?
Q2. A alone can paint a wall in 50 days and B alone can do it in 10 days. If A,B and C together can paint the wall in 6.25 days, then in how many days can C alone paint the wall?
Q3. If a² +b² = 53 and ab = 14, then find the value of a+b
Q4. The total surface area of a cuboid is 236 cm². Its length is 8 cm and height is 6 cm. Find its breadth (in cm).
Q5. Solve the following.
√0.2025 + √0.12225 = _______
Q6. Find the least common multiple of 56 and 50
Q7. A company has six departments. The given bar graph shows the number of employees in each department for the years 2015 and 2018. The company added 80 new employees and fired some employees between the years 2015 and 2018. All the employees who were from department C. If the employees of department C had NOT been fired, then the employee strength of department C in 2018 would have been greater by________.
a. 17.5 %
b. 12.5 %
c. 10 %
d. 20 %
Q8. Find the third proportional to 24 and 60.
Q9. Amit calculated ⅖ th of a number instead of calculating 2/15 th. His answer was greater than the correct answer by 336. Find the number.
Q10. If the compound interest received on a certain amount in the first year is 1,440, what will be the first year is Rs.1,440. What will be the compound interest for the second year on the same principal at 10% rate of interest?
a. Rs. 1,540
b. Rs. 1,512
c. Rs. 1,584
d. Rs. 1,554
Q11. Two cabs A and B start from town C for town D. If the distance between the two towns is 540 km and the slower taxi travelling at an average of 90 km/hr takes an hour more than the faster taxi, then find the speed (in km/hr) of the faster taxi.
Q12. Two numbers are 10% and 20% less than a third number. By what percentage should the second number be increased to make it equal to the first number?
Q13. If the median of the numbers 9, 15, 1, 15, 149, 4 and X is 11, find X.
Q14. The sum of binary numbers 11001000 and 1101110 is _____.
Q15. Pipe A can fill a tank in 12 hours. Pipe B can empty it in X hours. If both the pipes are opened together, then the tank will be filled in 30 hours. Find X.
Q16. From a 50-m-long steel bar, a work man has to cut off as many 5.25-m-long pieces as possible. What decimal fraction of the whole will be left?
Q17. If sinӨ = 12/13, then find the value of 2CotӨ + 13cosӨ.
Q18. L is thrice as good a workman as M, and together, they finish a task in 12 days. In how many days will L alone finish the same task?
Q19. In a certain gear train, the driver has 24 teeth while the follower has 8 teeth. For every ______ turns of the driver, the follower turns 36 times.
Q20. Find the value of: 16 - (25% of (14 x 10 ÷ 35 + 12 x 10 ÷ 15))
Q21. A train running at a speed of 64 km/h takes 50 minutes to travel a certain distance. By how much should it increase its speed (in km/h) to travel the same distance in 40 min?
Q22. What is the area (in cm²) of regular hexagon of side 10 cm?
Q23. Binary number 101110110 is equal to decimal number________.
Q24. If 5x/3 - 7/2 (2x/5 - 1/3) = ⅓, then the value of x is ______.
Q25. If a vendor sells a coconut at Rs.32, he incurs a 20% loss. What is the cost price of the coconut?