RRB ALP Exam Sample Paper 2024 PDF

# RRB ALP EXAM 2024 ## Sample Paper 01 (CBT-01) ### 1. A dishonest shopkeeper claims to sell salt at a rate of ₹25/kg. The cost price of the salt is ₹25/kg. Not satisfied with this, he tries to make profit by removing 200 gm from each kg. What is the shopkeeper's gain percentage? * (a) 15% * (...

# RRB ALP EXAM 2024 ## Sample Paper 01 (CBT-01) ### 1. A dishonest shopkeeper claims to sell salt at a rate of ₹25/kg. The cost price of the salt is ₹25/kg. Not satisfied with this, he tries to make profit by removing 200 gm from each kg. What is the shopkeeper's gain percentage? * (a) 15% * (b) 25% * (c) 30% * (d) 20% ### 2. A person earns ₹16,000 per month and spends 80% of his income and saves the remaining amount. If his income increases by 20% and expenditure by 10%, find the percentage of increase in his savings. * (a) 140% * (b) 90% * (c) 120% * (d) 60% ### 3. Aman invested a sum of money in scheme A at the rate of 8% p.a. for a period of 5 years on simple interest. He invested four times of the sum of scheme A in scheme B at the rate of 5% p.a. for 7 years on simple interest. He received a total interest amount of Rs.1,620. How much (in Rs.) did he invest in scheme B? * (a) 2,400 * (b) 900 * (c) 3,200 * (d) 3,600 ### 4. If 2/5 th of Rs.16000 is invested at 10% rate of compound interest and remaining at 12% rate of interest, then find the compound interest for 2 years. * (a) Rs.3786.24 * (b) Rs.3545.22 * (c) Rs.3982.46 * (d) Rs.3349.48 ### 5. Seven years ago, Prachi was four times as old as her daughter was at that time. Four years from now, Prachi will be two-and-a-half times as old as her daughter would then be. Find the sum of the present ages (in years) of Prachi and her daughter. * (a) 69 * (b) 77 * (c) 49 * (d) 72 ### 6. The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9: 5. If A's saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of: * (a) 3:9:2 * (b) 2:5:2 * (c) 3:18:4 * (d) 3:18:14 ### 7. A shopkeeper offers the following discount schemes for buyers. **I. Two successive discounts of 15% and 20%.** **II. Successive discount of 25% and 10%.** **III. A dscount of 33%.** The selling price will be minimum under the scheme: * (a) I * (b) I or II * (c) III * (d) II ### 8. A mango juice is made by mixing water and mango concentrate in the ratio 9 : 7. If *x* litres of water and 3*x* litres of mango concentrate is mixed in 160 litres of mango juice, then the new ratio becomes 13 : 14. What is the quantity of the new mango juice (in litres)? * (a) 197 litre * (b) 212 litre * (c) 206 litre * (d) 216 litre ### 9. Varun and Raju, working together, can complete a job in 40 hours whereas Varun alone can complete the same job in 50 hours. The number of hours required by Raju to complete the job alone is: * (a) 200 * (b) 150 * (c) 170 * (d) 190 ### 10. The value of sin²30° - sin²40° + sin²45° - sin²55° + sin²35° + sin²50° + sin²60° is: * (a) 1 * (b) 2 * (c) 4 * (d) 0 ### 11. There are two pipes used to fill a tank and when operated together, they can fill the tank in 20 minutes. If one pipe can fill the tank two and a half time as quickly as the other, then the faster pipe alone can fill the tank in: * (a) 30 min * (b) 32 min * (c) 34 min * (d) 28 min ### 12. A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief. ### 13. A motorboat travelling at a certain speed can cover a distance of 24 km upstream and 40 km downstream in 17 hours. At the same speed it can travel 32 km downstream and 12 km upstream in 10 hours. What is the speed of the current? * (a) 5 km/h * (b) 4 km/h * (c) 2 km/h * (d) 3 km/h ### 14. The following are the weights (in kg) of 25 students: 58, 55, 53, 50, 53, 51, 52, 54, 53, 52, 54, 53, 58, 53, 59, 55, 53, 52, 51, 54, 53, 59, 55, 53, 52 What is the range of the given data? * (a) 6 * (b) 7 * (c) 9 * (d) 8 ### 15. If the 9-digit number 5x79856y6 is divisible by 36, then what is the negative value √(2x + y) for the largest possible value of y, given x and y are natural numbers? * (a) -7 * (b) -2 * (c) -4 * (d) -5 ### 16. In a garden, there are 6 daisy plants the first year. Each year, a gardener adds 3 new daisy plants. He has 26 jasmine plants the first year and loses 2 each year. When will the number of daisy plants equal to the number of jasmine plants after the first year? * (a) 5 years * (b) 4 years * (c) 2 years * (d) 6 years ### 17. Simplify: (8.3)³ + (9.2)³+ (6.1)³ - 3x 8.3x 9.2x 6.1 / (8.3)² + (9.2)² + (6.1)² - 8.3x 9.2 - 9.2x 6.1 - 6.1x 8.3 * (a) 30.2 * (b) 23.6 * (c) 28.7 * (d) 25.5 ### 18. If x > 1 and x² + 1/x² = 83 then, x³ -1/x³ is: * (a) 884 * (b) 876 * (c) 754 * (d) 756 ### 19. In triangle ABC, two medians AD and BE intersect at G at right angles. If AD = 12 cm and BE = 9 cm, then the length of AB is equal to: * (a) 11 cm * (b) 2 cm * (c) 3 cm * (d) 4 cm ### 20. The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the sixteenth day? * (a) 24° C * (b) 25° C * (c) 23° C * (d) 22° C