Mathematics Questions for RRB NTPC: Mathematics is the backbone of the RRB NTPC paper – predictable, high-yield, and extremely coachable. This article collects the most important types of Mathematics Questions for RRB NTPC, explains why they matter, gives representative practice questions with worked solutions, and offers a practical strategy and cheat-sheet you can use during revision.
Download RRB NTPC Mathematics Questions PDF
We have given below a free PDF on the top RRB NTPC Mathematics Questions. To understand the difficulty level of the questions, download and start practising.
Practice the Most Repeated Questions for RRB NTPC Mathematics (Live)
Given below are some of the most repeated mathematics questions for RRB NTPC Exam. Attempt them live and check your score as per the real exam marking scheme.
RRB NTPC Maths Quiz Questions
1. The HCF of two numbers is 12 and their LCM is 180. If one number is 36, the other number is?
2. The least number which when divided by 6, 8 and 15 leaves remainder 5 in each case is?
3. The number of trailing zeros in 125! is?
4. The product of two numbers is 2028 and their HCF is 13. The LCM of the numbers is?
5. The greatest 4-digit number exactly divisible by 24, 36 and 54 is?
6. If x + 1/x = 5, then x² + 1/x² is?
7. The sum of the first 40 natural numbers is?
8. If the ratio of the ages of A and B is 4:5 and B is 10 years older than A, the age of A is?
9. A sum becomes double in 10 years at simple interest. The rate of interest per annum is?
10. The compound interest on ₹10,000 for 2 years at 10% per annum is?
11. If 12 men can complete a work in 15 days, how many days will 20 men take to complete the same work?
12. The speed of a train is 72 km/h. How much distance will it cover in 25 seconds?
13. Two pipes can fill a tank in 12 hours and 18 hours respectively. In how many hours will both pipes fill the tank together?
14. The average of 10 numbers is 25. If one number is excluded, the average becomes 23. The excluded number is?
15. If a shopkeeper gives a discount of 20% and still makes a profit of 25%, the marked price is what percent above cost price?
16. A boat covers 30 km downstream in 2 hours and the same distance upstream in 3 hours. The speed of the boat in still water is?
17. The ratio of radii of two circles is 2:3. The ratio of their areas is?
18. The area of an equilateral triangle of side 10 cm is?
19. The volume of a sphere of radius 7 cm is?
20. The angle between the hands of a clock at 4:40 is?
21. If the ratio of the circumference of a circle to its diameter is 22/7, then the value of π is?
22. The smallest number which is divisible by 12, 15 and 20 is?
23. If 40% of a number is 280, the number is?
24. The average age of 6 persons is 24 years. If the age of one person is excluded, the average becomes 22 years. The excluded age is?
25. A sum of money becomes ₹5400 in 3 years at 20% p.a. simple interest. The principal is?
Quiz Summary
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RRB NTPC Maths Quiz Questions
26. If the cost price of 20 articles is equal to the selling price of 16 articles, the gain percent is?
27. The speed of a train is 54 km/h. How much distance will it cover in 20 seconds?
28. A can do a piece of work in 12 days and B can do it in 18 days. In how many days can they do it together?
29. If the selling price of an article is ₹720 and the loss is 10%, the cost price is?
30. The ratio of boys to girls in a class is 7:5. If there are 24 girls, the number of boys is?
31. The area of a rectangle is 720 sq cm and its length is 30 cm. The breadth is?
32. The radius of a circle whose area is 154 sq cm is?
33. The volume of a cube is 512 cm³. The length of each edge is?
34. The value of (√25 + √49)² is?
35. If x − 1/x = 3, then x² + 1/x² is?
36. The sum of the first 15 natural numbers is?
37. The difference between the compound interest and simple interest on ₹10,000 for 2 years at 10% p.a. is?
38. If a man walks at 5 km/h instead of 4 km/h, he reaches his destination 15 minutes earlier. The distance is?
39. The length of the diagonal of a square whose side is 14 cm is?
40. The ratio of the areas of two circles is 9:16. The ratio of their radii is?
41. The average of 8 numbers is 15. If each number is increased by 5, the new average is?
42. If the perimeter of a square is 64 cm, its area is?
43. A sum amounts to ₹8000 in 2 years at 25% p.a. simple interest. The principal is?
44. The HCF of 306 and 657 is?
45. The least number that should be added to 1234 to make it divisible by 9 is?
46. The number of sides of a polygon whose each interior angle is 150° is?
47. If the cost price of an article is ₹500 and the selling price is ₹650, the profit percent is?
48. The average speed of a journey where a person travels at 40 km/h and returns at 60 km/h is?
49. The value of sin 30° + cos 60° is?
50. If the radius of a sphere is doubled, the volume becomes how many times?
Quiz Summary
What is the importance of Mathematics Questions in RRB NTPC exam?
Mathematics is an important subject in the RRB NTPC Syllabus as it is a high-scoring section for the candidates. Some of the main reasons are given below:
- They appear repeatedly across years and zones.
- Many are short, objective, and mark-dense – quick wins if practiced.
- With timed practice you can score high in the Maths section even if your fundamentals are average.
What are the important RRB NTPC Mathematics Topics?
The important RRB NTPC Mathematics topics include number system, divisibility, ratio and proportion, algebra, and more. Given below are the details:
- Number System & Divisibility – LCM, HCF, remainders, divisibility rules.
- Ratio, Proportion & Percentage – mixtures, profit & loss, successive percentages.
- Time, Speed & Distance – relative speed, trains, boats and streams.
- Work & Time – efficiency problems, pipes and cisterns.
- Algebra (Basic) – linear equations, simple quadratics, surds.
- Simple & Compound Interest – yearly/compound, nominal vs effective.
- Mensuration – area, perimeter, surface area & volume of common shapes.
- Geometry & Trigonometry (basic) – angles, triangles, sin/cos basics for simple problems.
- Average, Ratio & Proportion, and Problems on Ages – direct formulaic application.
- Partnership, Probability & Permutation/Combination (basic) – mostly short questions.
What are the common mistakes that should be avoided?
There are certain mistakes, such as skipping unit conversions, using a calculator, and more, that should be avoided by the candidates. Some of these are given below:
- Skipping unit conversions (km/h to m/s).
- Misreading “successive” vs “simultaneous” percentages.
- Neglecting to rationalise surds or simplify fractions wastes time.
- Using calculator habits in mock tests; practice without a calculator where possible (paper-based exam mindset).
What is the appropriate time management strategy for RRB NTPC Exam?
The appropriate time management strategy is to divide every important mathematics topic according to its weightage. Check out the details:
- First 10–12 minutes: solve all very easy arithmetic and number system questions (easy marks).
- Next 20–25 minutes: take on time/speed, work/time, and straightforward algebra.
- Last 15–20 minutes: tackle mensuration, geometry and trickier algebra.
- If a question looks messy or long, mark it and move on – come back only if time permits.
Mathematics Questions for RRB NTPC reward disciplined practice and formula mastery. The exam favours accuracy and speed – both learned through deliberate, repeated practice of the high-priority topics listed above. Use the cheat-sheet and time management plan, practice the representative problems until your method is automatic, and you’ll convert mathematics into a strong scoring section on the RRB NTPC.
FAQs
High-priority topics include Number System, Simplification, Time & Work, Time, Speed & Distance, Ratio & Proportion, Percentage, Profit & Loss, Simple & Compound Interest, Mensuration, and basic Algebra & Geometry. Mastering these areas can help secure maximum marks in the Maths section.
Typically, Mathematics accounts for 25–30 questions in the RRB NTPC CBT-1 and CBT-2 exams, out of 100 questions in total, depending on the stage of the exam.
Yes. Practicing shortcut methods for topics like simplification, percentage, time-speed-distance, and interest calculations can save significant time and improve accuracy during the exam.
Absolutely. Key formulas include:
LCM × HCF = Product of two numbers
Simple Interest: SI = (P × R × T)/100
Compound Interest: A = P(1 + R/100)^T
Time = Distance / Speed, Relative Speed formulas
Area and Volume formulas for rectangle, square, triangle, circle, cylinder, cuboid
Solve topic-wise practice sets first.
Attempt timed mock tests to improve speed and accuracy.
Review mistakes and revise trick methods and formulas regularly.
Focus on high-yield topics first and gradually cover all areas.
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