Students preparing for the RRB NTPC Exam 12th Level exam often struggle in Maths because of time pressure, calculation speed, and mixed-level questions. Checking the most expected questions that help candidates revise important chapters in one place.
It includes practical problems from percentages, quadratic equations, cylinders, remainder theorem, mixture, common tangent, time & distance, and work efficiency. If practised properly, these topics can significantly improve your score in the NTPC CBT exam.
Maths section usually checks your command over school-level quantitative aptitude. Most papers include questions from:
Number System
Simplification
Ratio & Proportion
Percentage
Profit & Loss
Simple Interest
Time & Work
Time, Speed & Distance
Algebra
Geometry
Mensuration
Trigonometry
Data Interpretation
Candidates who revise formulas and solve PYQs regularly usually perform better in speed-based exams.
This section includes the most frequently asked and exam-relevant Maths questions from the RRB NTPC 12th Level syllabus. These questions are selected based on their repeated appearance in previous exams and their importance for improving speed, accuracy, and concept clarity in the actual Railway exam.
1. Time and Work
A is 50% more efficient than B. B completes the same work in 20 days. If A and B work together, how much time will they take to complete the same work?
(a) 10 days
(b) 7 days
(c) 8 days
(d) 9 days
2. Profit, Loss, and Discount
The difference between a single discount of 40% and two successive discounts of 30% on a certain bill was ₹220. Find the amount of the bill (in rupees).
(a) 2200
(b) 1100
(c) 1000
(d) 2000
3. Algebraic Simplification
Simplify the following expression:
x2 -2x-63x2+14x+49
(a) x+9x+7
(b) x-7x+7
(c) x+7x-7
(d) x-9x+7
4. Trigonometry
Find the value of 1+cos1-cos
(a) sec+tan
(b)csc-cot
(c) csc+cot
(d) sec-tan
5. Data Interpretation (Pie Chart)
Total number of female employees across the five districts = 136,000.
Question:What is the total number of female employees working in the company in District C and District D?
(Note: District D is 15%, District C is calculated by subtracting other percentages from 100%)
(a) 61200
(b) 62000
(c) 62290
(d) 61000
6. Algebra (Powers)
If (y+1y)=4 , then what is the value of (y6+1y6) ?
(a) 2702
(b) 2704
(c) 4096
(d) 2706
7. Percentage and Cost Price
The cost price of an item is reduced by 10% and then increased by 20%. If the final price is ₹540, then the original cost price is:
(a) 500
(b) 650
(c) 550
(d) 600
8. Mensuration (Cylinder)
The curved surface area of a solid circular cylinder with a height of 12 cm is 2640 cm². What is the volume of the cylinder (in cm³)? ( = 22/7)
(a) 46200
(b) 37900
(c) 42000
(d) 55200
9. Simplification (BODMAS)
10010--2+-9+(3-6 of 2) = ?
(a) 6
(b) 30
(c) 20
(d) 0
10. Ratio and Proportion
What is the fourth proportional to 8, 32, and 13?
(a) 39
(b) 40
(c) 26
(d) 52
These questions are important because they reflect the actual pattern of the RRB NTPC exam, where most Maths problems are based on repeated concepts, standard formulas, and quick calculation techniques that directly help in improving score and speed in the exam.
Formula-based direct questions
Ratio and percentage applications
Time-saving shortcut questions
Moderate algebra simplification
Geometry-based one-step problems
Speed maths calculations
Students who practice these categories daily generally improve attempt rate.