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RRB NTPC Mathematics — Previous Year Questions

570 Mathematics questions asked in past RRB NTPC papers, split into 57 timed practice sets — every question with its answer and explanation.

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About RRB NTPC Mathematics previous year questions

This page collects every Mathematics question that has appeared in past RRB NTPC papers on AajExam — 570 questions in total, organised into 57 short, timed practice sets. Each question is shown with its four options, the correct answer, and an explanation of the reasoning, so you can use the page either as a self-test or as a revision reference. Why previous year questions are the highest-value Mathematics preparation you can do for RRB NTPC: recruitment boards reuse a stable pool of concepts across cycles. The wording changes, the underlying idea rarely does. Working through a few hundred genuine past Mathematics questions teaches you which sub-topics the paper actually rewards, how the examiner likes to frame distractors, and roughly how long each question type should take — none of which a syllabus document can tell you. How to use this page: attempt questions in blocks of ten without looking at the answers, then review every question you got wrong or guessed. Read the explanation for the concept, not just the answer letter. When a concept keeps catching you out, open the related topic page linked below and drill that single area before returning here. Repeat across the full bank, and track how your accuracy on the second pass compares with your first — a 15-20% improvement is normal and is the clearest sign your preparation is working. What is in this bank: the questions are transcribed from actual RRB NTPC question papers, kept in the original order and wording, with solutions written by subject specialists. Sets are free to attempt, work on mobile, and need no login to read. If you would rather practise a complete paper end to end under exam conditions, the full RRB NTPC previous-year papers are linked below as well.

Mathematics PYQs asked in RRB NTPC

A sample of 30 questions from the full bank of 570. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.A man deposits ₹500 at the beginning of each year for 2 years at 10% p.a. compound annually. Find the maturity value at the end of the 2nd year.
- A.₹1,050
- B.₹1,150
- C.₹1,155
- D.₹1,200
Show answer
Answer: C. ₹1,155
1st deposit grows for 2 yrs: 500 × 1.21 = 605. 2nd deposit grows for 1 yr: 500 × 1.10 = 550. Total = ₹1,155.
Q2.If the arithmetic mean of 10 numbers is 35 and each number is increased by 2, find the mean of the new set of numbers.
- A.28
- B.34
- C.40
- D.37
Show answer
Answer: D. 37
Adding constant 2 to each value adds 2 to the mean. New mean = 35 + 2 = 37.
Q3.Replace # sign with the mathematical operators '+', '×' and '−' and '=' to get a balanced equation out of (27 # 15 # 2) # 10 # 4. Choose the right sequence from below.
- A.+ × = −
- B.− + = ×
- C.+ − × =
- D.+ = × −
Show answer
Answer: C. + − × =
(27 + 15 − 2) × 10 = 4 × …? Per the source's check, the right sequence is +, −, ×, = (option C).
Q4.The difference between the length and breadth of a rectangle is 6 m. If its perimeter is 64 m, then its area is:
- A.256 sq.m
- B.247 sq.m
- C.264 sq.m
- D.238 sq.m
Show answer
Answer: B. 247 sq.m
L − B = 6, L + B = 32. So L = 19, B = 13. Area = 247 sq.m.
Q5.The price of 12 kg of sugar is equal to that of 6 kg of rice. The price of 10 kg of sugar and 8 kg of rice is ₹1040. Find the price of 1 kg of sugar.
- A.₹80
- B.₹70
- C.₹60
- D.₹40
Show answer
Answer: D. ₹40
12s = 6r → r = 2s. 10s + 8(2s) = 26s = 1040 → s = ₹40.
Q6.The HCF of two numbers is 6 and their LCM is 108. If one of the numbers is 12, then the other is:
- A.27
- B.54
- C.48
- D.36
Show answer
Answer: B. 54
Other = (6 × 108)/12 = 54.
Q7.9876 − ? + 5431 = 5553
- A.9754
- B.9765
- C.8754
- D.9854
Show answer
Answer: A. 9754
9876 + 5431 − 5553 = 9754. So ? = 9754.
Q8.A trader bought a bag of 40 kg of basmati rice at ₹125 per kg and another bag of 60 kg at ₹150 per kg. He sold the entire stock at a profit of 20%. Find the selling price per kg.
- A.₹152
- B.₹158
- C.₹168
- D.₹172
Show answer
Answer: C. ₹168
Total CP = 40×125 + 60×150 = 5000 + 9000 = 14000. SP = 14000 × 1.2 = 16800. Per kg = 16800/100 = ₹168.
Q9.The mean of 25 values was 40. But one value was written as 25 instead of 50. The corrected mean is:
- A.39
- B.41
- C.40
- D.42
Show answer
Answer: B. 41
Corrected total = 25×40 − 25 + 50 = 1025. New mean = 1025/25 = 41.
Q10.What number should be deducted from 1265 to make it divisible by 29 exactly?
- A.15
- B.16
- C.18
- D.17
Show answer
Answer: C. 18
1265 ÷ 29 = 43 remainder 18. Deduct 18.
Q11.The combined sales of C2 in 2012 and 2014 is how much more than that of C3 for the same years?
- A.12%
- B.13.72%
- C.14.75%
- D.17.30%
Show answer
Answer: D. 17.30%
Per the bar chart numbers, the % difference works out to 17.30%.
Q12.R borrowed ₹1,200 at 1.3% per annum simple interest. What amount will R pay to clear the debt after 5 years?
- A.₹1,860
- B.₹1,880
- C.₹1,278
- D.₹2,000
Show answer
Answer: C. ₹1,278
SI = 1200 × 1.3 × 5 / 100 = 78. Amount = 1200 + 78 = ₹1,278.
Q13.Find the standard deviation of {11, 7, 10, 13, 9}
- A.1
- B.2
- C.4
- D.5
Show answer
Answer: B. 2
Mean = 10. Deviations: 1, −3, 0, 3, −1. Squares: 1, 9, 0, 9, 1 → sum 20; variance = 20/5 = 4; SD = 2.
Q14.The average of 15 numbers is 25. If 5 is added to each value, what will be the new average?
- A.30
- B.35
- C.40
- D.45
Show answer
Answer: A. 30
Adding a constant to each value adds the same constant to the mean. New average = 25 + 5 = 30.
Q15.A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?
- A.300
- B.380
- C.396
- D.408
Show answer
Answer: C. 396
Saplings on perimeter = 4 × 100 − 4 (corners counted twice) = 400 − 4 = 396.
Q16.P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?
- A.1/2
- B.2/3
- C.1/3
- D.5/6
Show answer
Answer: D. 5/6
Combined per day = 1/10 + 1/15 = 5/30 = 1/6. In 5 days = 5/6.
Q17.You went to buy 3 articles worth ₹500 each. However, as per the discount sale going on in the shop, you paid for two and got one free. What is the discount percentage for the deal?
- A.30%
- B.33%
- C.33.13%
- D.33.33%
Show answer
Answer: D. 33.33%
MRP for 3 = 1500. Paid = 1000. Discount = 500/1500 × 100 = 33.33%.
Q18.(a − b)² + 2ab = ?
- A.a² − b²
- B.a² + b²
- C.a² − 4ab + b²
- D.a² − 2ab + b²
Show answer
Answer: B. a² + b²
(a − b)² + 2ab = a² − 2ab + b² + 2ab = a² + b².
Q19.What is the ratio of simple interest earned on a certain amount at the rate of 12% for 6 years and that for 12 years?
- A.1 : 2
- B.2 : 3
- C.3 : 4
- D.4 : 5
Show answer
Answer: A. 1 : 2
SI is proportional to time. Ratio = 6 : 12 = 1 : 2.
Q20.The salaries of A, B, and C are in the ratio 2 : 3 : 5. If the increments of 15%, 10%, and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
- A.23 : 33 : 60
- B.7 : 22 : 23
- C.7 : 44 : 23
- D.21 : 22 : 23
Show answer
Answer: A. 23 : 33 : 60
New: 2×1.15 : 3×1.10 : 5×1.20 = 2.30 : 3.30 : 6.00 = 23 : 33 : 60.
Q21.The area of a circle is 616 square meters. Find its diameter. (π = 22/7)
- A.7 m
- B.14 m
- C.28 m
- D.56 m
Show answer
Answer: C. 28 m
πr² = 616 → r² = 616 × 7/22 = 196 → r = 14. Diameter = 28 m.
Q22.Find the mean, median and mode of 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, and 7.
- A.9, 9, 9
- B.9, 8, 9
- C.6.8, 7, 7
- D.8, 9, 9
Show answer
Answer: C. 6.8, 7, 7
Mean = 102/15 = 6.8; sorted middle (8th) = 7; mode = 7 (appears 4 times). Hence 6.8, 7, 7.
Q23.How many millimeters make ten kilometers?
- A.10¹⁰
- B.10⁹
- C.10⁸
- D.10⁷
Show answer
Answer: D. 10⁷
1 km = 10⁶ mm. 10 km = 10⁷ mm.
Q24.The Central Government granted a certain sum towards flood relief to 3 states A, B, and C in the ratio 2 : 3 : 4. If C gets ₹400 crores more than A, what is the share of B?
- A.₹400 crore
- B.₹200 crore
- C.₹600 crore
- D.₹300 crore
Show answer
Answer: C. ₹600 crore
C − A = 4x − 2x = 2x = 400 → x = 200. B = 3x = ₹600 crores.
Q25.Find the greatest length which can be used to measure exactly three cloth pieces of lengths 1.26 m, 1.98 m and 1.62 m respectively.
- A.12 cm
- B.14 cm
- C.16 cm
- D.18 cm
Show answer
Answer: D. 18 cm
HCF of 126, 198, 162 cm = 18 cm.
Q26.What will be the maturity value, if ₹13,500 is deposited at a simple rate of interest of 12.5% for two years?
- A.₹15,187.50
- B.₹16,875.00
- C.₹16,875.50
- D.₹16,785.00
Show answer
Answer: B. ₹16,875.00
SI = 13500 × 12.5 × 2 / 100 = 3375. Maturity = 13500 + 3375 = ₹16,875.
Q27.The difference between the ages of mother and son was 21 when the mother's age was 43. If the father is elder by 3 years to mother, what will be the difference between the ages of son and father when father attains 50 years?
- A.21
- B.22
- C.23
- D.24
Show answer
Answer: D. 24
Mother age 43, son age 22 → diff 21. Father is 3 yrs older than mother. When father is 50, mother = 47, son = 47 − 21 = 26. Diff = 50 − 26 = 24.
Q28.A shopkeeper purchased 15 kg of sugar and 20 kg of wheat at ₹50 and ₹75 per kg respectively. On selling them, he gained 10% on sugar and 20% on wheat. What was the total sale value?
- A.₹2,550
- B.₹2,625
- C.₹1,800
- D.₹1,575
Show answer
Answer: B. ₹2,625
Sugar SP = 15×50×1.10 = 825. Wheat SP = 20×75×1.20 = 1800. Total = ₹2,625.
Q29.X can finish 25% of work in a day. Y can do 12.5% of the same work in a day. In how many days will both finish the work together?
- A.2.67 days
- B.2.33 days
- C.3.33 days
- D.3.67 days
Show answer
Answer: A. 2.67 days
Combined per day = 25% + 12.5% = 37.5% = 3/8. Days = 8/3 ≈ 2.67.
Q30.If x + 2y = 27 and x − 2y = −1, find the value of y.
- A.13
- B.14
- C.7
- D.26
Show answer
Answer: C. 7
Subtracting: 4y = 28 → y = 7.

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Frequently Asked Questions

How many RRB NTPC Mathematics previous year questions are available?

570 Mathematics questions from past RRB NTPC papers are available on AajExam, split into 57 practice sets. New questions are added as fresh papers are released.

Are the answers and explanations free?

Yes. Every question on this page shows its correct answer and explanation free of charge, and you do not need an account to read them. A free account only adds attempt tracking and performance analytics.

Do RRB NTPC repeat questions from previous years?

Exact repeats do occur, but the more reliable pattern is conceptual: the same Mathematics sub-topics reappear cycle after cycle with reworded questions. That is why working through past questions raises your score more reliably than reading theory alone.

How should I use these questions in my RRB NTPC preparation?

Attempt a set of ten cold, review every wrong and guessed question with its explanation, then drill the weak sub-topic on its topic page before moving on. Revisit the same set after a few days — your second-attempt accuracy is the honest measure of whether the concept stuck.

RRB NTPC Mathematics practice sets

Each set is a timed 10-question drill drawn from the same question bank.

About RRB NTPC Mathematics previous year questions

Mathematics PYQs asked in RRB NTPC

Q1.A man deposits ₹500 at the beginning of each year for 2 years at 10% p.a. compound annually. Find the maturity value at the end of the 2nd year.

Q2.If the arithmetic mean of 10 numbers is 35 and each number is increased by 2, find the mean of the new set of numbers.

Q3.Replace # sign with the mathematical operators '+', '×' and '−' and '=' to get a balanced equation out of (27 # 15 # 2) # 10 # 4. Choose the right sequence from below.

Q4.The difference between the length and breadth of a rectangle is 6 m. If its perimeter is 64 m, then its area is:

Q5.The price of 12 kg of sugar is equal to that of 6 kg of rice. The price of 10 kg of sugar and 8 kg of rice is ₹1040. Find the price of 1 kg of sugar.

Q6.The HCF of two numbers is 6 and their LCM is 108. If one of the numbers is 12, then the other is:

Q7.9876 − ? + 5431 = 5553

Q8.A trader bought a bag of 40 kg of basmati rice at ₹125 per kg and another bag of 60 kg at ₹150 per kg. He sold the entire stock at a profit of 20%. Find the selling price per kg.

Q9.The mean of 25 values was 40. But one value was written as 25 instead of 50. The corrected mean is:

Q10.What number should be deducted from 1265 to make it divisible by 29 exactly?

Q11.The combined sales of C2 in 2012 and 2014 is how much more than that of C3 for the same years?

Q12.R borrowed ₹1,200 at 1.3% per annum simple interest. What amount will R pay to clear the debt after 5 years?

Q13.Find the standard deviation of {11, 7, 10, 13, 9}

Q14.The average of 15 numbers is 25. If 5 is added to each value, what will be the new average?

Q15.A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?

Q16.P can do a work in 10 days. Q can do the same work in 15 days. If they work together for 5 days, how much of the work will they complete?

Q17.You went to buy 3 articles worth ₹500 each. However, as per the discount sale going on in the shop, you paid for two and got one free. What is the discount percentage for the deal?

Q18.(a − b)² + 2ab = ?

Q19.What is the ratio of simple interest earned on a certain amount at the rate of 12% for 6 years and that for 12 years?

Q20.The salaries of A, B, and C are in the ratio 2 : 3 : 5. If the increments of 15%, 10%, and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

Q21.The area of a circle is 616 square meters. Find its diameter. (π = 22/7)

Q22.Find the mean, median and mode of 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, and 7.

Q23.How many millimeters make ten kilometers?

Q24.The Central Government granted a certain sum towards flood relief to 3 states A, B, and C in the ratio 2 : 3 : 4. If C gets ₹400 crores more than A, what is the share of B?

Q25.Find the greatest length which can be used to measure exactly three cloth pieces of lengths 1.26 m, 1.98 m and 1.62 m respectively.

Q26.What will be the maturity value, if ₹13,500 is deposited at a simple rate of interest of 12.5% for two years?

Q27.The difference between the ages of mother and son was 21 when the mother's age was 43. If the father is elder by 3 years to mother, what will be the difference between the ages of son and father when father attains 50 years?

Q28.A shopkeeper purchased 15 kg of sugar and 20 kg of wheat at ₹50 and ₹75 per kg respectively. On selling them, he gained 10% on sugar and 20% on wheat. What was the total sale value?

Q29.X can finish 25% of work in a day. Y can do 12.5% of the same work in a day. In how many days will both finish the work together?

Q30.If x + 2y = 27 and x − 2y = −1, find the value of y.

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