Top RRB NTPC Practice Questions, Download Free PDF

Q1. A train 240 m long passes a pole in 12 seconds and passes a platform in 20 seconds. What is the length of the platform?

Q2. ₹12,000 is invested at 10% p.a. compound interest for 3 years, compounded annually. What is the compound interest earned?

Q3. Two pipes A and B can fill a tank in 18 minutes and 24 minutes respectively. A third pipe C can empty it in 36 minutes. If all three are opened simultaneously, how long does it take to fill the tank?

Q4. A man sold two articles at ₹990 each. On one he gained 10% and on the other he lost 10%. What is his net gain/loss percentage in the entire transaction?

Q5. The difference between simple interest and compound interest on ₹8,000 for 2 years at 5% per annum is:

Q6. A cistern has a leak which would empty it in 20 minutes. A tap is turned on which fills the cistern at 4 litres per minute. If it is now emptied in 24 minutes, what is the capacity of the cistern?

Q7. If (x − 2) is a factor of x³ − 3x² + px − 10 = 0, find the value of p.

Q8. The HCF of two numbers is 23 and their LCM is 1449. If one number is 161, find the other.

Q9. A bag contains 4 red, 5 blue, and 6 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are of different colours?

Q10. A sum of money doubles itself in 8 years at simple interest. In how many years will it become five times?

Q11. A alone can do a piece of work in 15 days and B alone in 20 days. They work together for 4 days, then A leaves. How many days does B take to finish the remaining work?

Q12. The speed of a boat in still water is 15 km/h. It takes 4 hours to row to a place and come back. If the speed of the stream is 5 km/h, find the distance to the place.

Q13. In what ratio must a grocer mix two varieties of tea priced at ₹120/kg and ₹150/kg to get a blend worth ₹135/kg?

Q14. A rectangular garden has a perimeter of 88 m. If its length is 8 m more than its breadth, find its area.

Q15. A shopkeeper marks his goods at 40% above cost price and allows a 25% discount on the marked price. Find his profit or loss percentage.

Q16. Three numbers are in the ratio 4:5:6. If the sum of their squares is 1925, find the largest number.

Q17. A person travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the entire journey?

Q18. If 12 men can do a work in 36 days, in how many days will 27 men do the same work?

Q19. The diagonal of a square is 12√2 cm. Find its area.

Q20. A sum of ₹5,000 amounts to ₹6,655 in 3 years at compound interest. What is the rate of interest per annum?

Q21. In an examination, 60% of the students passed in Maths and 70% passed in English. 20% failed in both. What percentage passed in both subjects?

Q22. Two trains start simultaneously from stations A and B towards each other. The distance between A and B is 600 km. Train from A travels at 60 km/h and from B at 90 km/h. At what distance from A will they meet?

Q23. The area of a trapezium is 216 cm². Its parallel sides are in the ratio 5:7 and height is 18 cm. Find the longer parallel side.

Q24. If x + 1/x = √5, find x⁴ + 1/x⁴.

Q25. A sphere of radius 6 cm is melted and recast into small spheres of radius 2 cm each. How many small spheres are formed?

Q26. The compound interest on a certain sum for 2 years at 20% p.a., compounded half-yearly, is ₹9,724.05. Find the principal.

Q27. If the selling price of 20 articles is equal to the cost price of 25 articles, what is the profit percentage?

Q28. A train covers 360 km in 3 hours. What extra distance will it cover in 4 hours if its speed increases by 25%?

Q29. The ratio of the ages of A and B is 3:5. After 10 years, the ratio becomes 5:7. What is the present age of B?

Q30. A man invested ₹4,500 at 4% p.a. and ₹3,500 at 6% p.a. simple interest. What is the total interest after 2 years?