Previous year questions · RRB Group D

RRB Group D Mathematics — Previous Year Questions

2660 Mathematics questions asked in past RRB Group D papers, split into 266 timed practice sets — every question with its answer and explanation.

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About RRB Group D Mathematics previous year questions

This page collects every Mathematics question that has appeared in past RRB Group D papers on AajExam — 2660 questions in total, organised into 266 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 Group D: 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 Group D 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 Group D previous-year papers are linked below as well.

Mathematics PYQs asked in RRB Group D

A sample of 30 questions from the full bank of 2660. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

Q1.Find the sum of the squares of x and y, given that the number 83y547x is divisible by 72.
- A.23
- B.53
- C.43
- D.13
Show answer
Answer: B. 53
Q2.A hollow cylindrical pipe has an outer radius of 7 cm and an inner radius of 5 cm. If the pipe is 42 cm long and made of metal with a density of 5 g/cm^3, what is the mass of the pipe? (Use π = 22/7 and Density = Mass/Volume)
- A.15.72 kg
- B.15.98 kg
- C.15.84 kg
- D.15.56 kg
Show answer
Answer: C. 15.84 kg
Q3.What is the HCF of 32, 28 and 24?
- A.6
- B.8
- C.4
- D.2
Show answer
Answer: C. 4
Q4.A trader buys an item for ₹1805 and incurs a loss of 5% while selling it. At what price should he sell the item to make a profit of 5%?
- A.₹1995
- B.₹1985
- C.₹2005
- D.₹2105
Show answer
Answer: A. ₹1995
Q5.Four years ago, the ratio of a mother's age to her daughter's age was 5:1. After 5 years from now, the ratio of the mother's age to the daughter's age will be 4:1. Find the present ages of the mother and the daughter.
- A.19 : 4
- B.6 : 17
- C.4 : 17
- D.19 : 6
Show answer
Answer: A. 19 : 4
Q6.If 2x + 3y = 8 and 4x^2 + 9y^2 = 32, then find the value of 8x^3 + 27y^3.
- A.142
- B.128
- C.106
- D.112
Show answer
Answer: B. 128
Q7.₹2,037 is divided among Vikas, Tina and Sumit in such a way that if their shares are reduced by ₹23, ₹42 and ₹52 respectively, then their remaining shares are in the ratio 14 : 19 : 15. Find Tina's actual share.
- A.₹660
- B.₹910
- C.₹810
- D.₹802
Show answer
Answer: D. ₹802
Q8.Find the simple interest on Rs 2,000 at a rate of 7% per annum for the period from 6 February 2023 to 20 April 2023.
- A.26
- B.28
- C.27
- D.29
Show answer
Answer: B. 28
Q9.If 3/4 of a number is 10% more than 20% of 882, then find the number.
- A.59780
- B.61960
- C.58800
- D.62560
Show answer
Answer: C. 58800
Q10.A and B together can complete a piece of work in 12 days, while A and C together can complete the same work in 20 days. If B and C together complete the work in 15 days, find the ratio of the number of days in which A and B alone respectively complete the work.
- A.3:5
- B.5:7
- C.1:3
- D.2:3
Show answer
Answer: C. 1:3
Q11.A tower stands vertically on the ground. From a point on the ground which is 29.6 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45°. Find the height of the tower.
- A.27.6 m
- B.23.6 m
- C.29.6 m
- D.25.6 m Section : General Intelligence and Reasoning
Show answer
Answer: C. 29.6 m
Q12.A water tank can be filled in 13 minutes using 46 identical pipes. How long (in minutes) will it take to fill the same tank if only 27 such pipes are used? (Round off the answer to two decimal places.)
- A.13.33
- B.20.82
- C.22.15
- D.15.63
Show answer
Answer: C. 22.15
Q13.The average age of 23 students of a class is 41 years. If the age of the teacher is also included, the average age of the whole group becomes 42 years. The age (in years) of the teacher is:
- A.64
- B.66
- C.62
- D.65
Show answer
Answer: D. 65
Q14.Radha has ₹10 and ₹5 coins. She has a total of 15 coins worth ₹85. How many coins of ₹5 does she have?
- A.8
- B.13
- C.7
- D.5
Show answer
Answer: B. 13
Q15.A camp has provisions for 20 pupils for 13 days. In how many days will the same provisions be used up, if the strength of the camp is increased to 65 pupils?
- A.5
- B.3
- C.4
- D.7
Show answer
Answer: C. 4
Q16.A shopkeeper declares the following three schemes of discounts. Which scheme is the most beneficial to a customer? Buy 42 items and get 47 of the same items Two successive discounts of 16% and 36% Two successive equal discounts of 46%
- A.Only A
- B.C and B both
- C.Only C
- D.Only B
Show answer
Answer: C. Only C
Q17.A, B and C can do a piece of work in 3, 6 and 2 days, respectively. How long (in days) will they take to do twice the same work, working together?
- A.6
- B.4
- C.3
- D.2
Show answer
Answer: D. 2
Q18.For 5 innings, a cricketer has an average of 80 runs. In the 6th inning, he scores 194 runs. His average score increased by .
- A.21
- B.26
- C.29
- D.19
Show answer
Answer: D. 19
Q19.A train travels at 84.6 km/hr. How many metres will it travel in 20 minutes?
- A.28,200
- B.26,200
- C.26,400
- D.24,600
Show answer
Answer: A. 28,200
Q20.The amount on a sum of ₹7,300 at 10% per annum compound interest, compounded annually, in 2 years will be:
- A.₹8,251
- B.₹8,833
- C.₹9,391
- D.₹8,444
Show answer
Answer: B. ₹8,833
Q21.Simplify: 86 − (− 16) × (− 8 − 20 − 18) ÷ [1 × {10 + (− 2) × (− 3)}]
- A.42
- B.40
- C.46
- D.31
Show answer
Answer: B. 40
Q22.A shopkeeper sells 10 identical watches for ₹10,500, which is the cost price of 8 watches. Find his loss percentage.
- A.10%
- B.20%
- C.30%
- D.40%
Show answer
Answer: B. 20%
Q23.The cost price of a dress is ₹1,600. The shopkeeper makes a profit of 20% on selling it. If he offers a discount of 25% at the time of sale, find the marked price (in ₹).
- A.2,380
- B.2,050
- C.2,560
- D.1,920
Show answer
Answer: C. 2,560
Q24.A metallic sphere of unknown radius is melted and recast into 64 smaller spherical balls. During the recasting process, 20% of the total metal is lost as waste. If the total volume of the 64 smaller spheres after the loss is 10,752 cm³, determine the radius (rounded off to the nearest integer) of the original sphere. (Use π = 3.14)
- A.16 cm
- B.17 cm
- C.15 cm
- D.14 cm
Show answer
Answer: C. 15 cm
Q25.What is the mode of the following data? 53, 53, 40, 49, 50, 48, 53, 50, 41, 40, 53, 45, 40, 47, 43, 52, 51, 42, 51, 53
- A.53
- B.40
- C.49
- D.50
Show answer
Answer: A. 53
Q26.The mean and the mode of a set of data are 20 and 88.7, respectively. Find the median of the data, using the empirical formula.
- A.42.5
- B.43.1
- C.42.9
- D.44.5
Show answer
Answer: C. 42.9
Q27.An agent sells a turbo cooker with a marked price of ₹6,370 at a discount of 50%. What is the selling price (in ₹) of the turbo cooker?
- A.2,548
- B.3,158
- C.3,185
- D.2,549
Show answer
Answer: C. 3,185
Q28.Two pipes, F and M, can fill a cistern in 25 minutes and 30 minutes, respectively. If both pipes are opened together, after how many minutes should pipe F be closed so that the cistern is completely filled in 15 minutes?
- A.12.5 min
- B.10 min
- C.12 min
- D.15 min
Show answer
Answer: A. 12.5 min
Q29.Sunita, Javed, and Rani invest ₹13,90,000, ₹4,70,000, and ₹15,40,000, respectively, to start a business. If the profit at the end of the year is ₹4,50,500, then what is the share of Rani in the profit?
- A.₹2,04,048
- B.₹2,04,052
- C.₹2,04,053
- D.₹2,04,050
Show answer
Answer: D. ₹2,04,050
Q30.The distance between points A and B is 663 km. Amit travels from A to B at 131 km/hr and returns at 24 km/hr. Calculate his average speed for the entire journey (rounded off to two decimal places).
- A.39.54 km/hr
- B.43.79 km/hr
- C.46.18 km/hr
- D.40.57 km/hr
Show answer
Answer: D. 40.57 km/hr

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RRB Group D syllabus & pattern Full RRB Group D question papers All Mathematics practice

Frequently Asked Questions

How many RRB Group D Mathematics previous year questions are available?

2660 Mathematics questions from past RRB Group D papers are available on AajExam, split into 266 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 Group D 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 Group D 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 Group D Mathematics practice sets

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

About RRB Group D Mathematics previous year questions

Mathematics PYQs asked in RRB Group D

Q1.Find the sum of the squares of x and y, given that the number 83y547x is divisible by 72.

Q2.A hollow cylindrical pipe has an outer radius of 7 cm and an inner radius of 5 cm. If the pipe is 42 cm long and made of metal with a density of 5 g/cm^3, what is the mass of the pipe? (Use π = 22/7 and Density = Mass/Volume)

Q3.What is the HCF of 32, 28 and 24?

Q4.A trader buys an item for ₹1805 and incurs a loss of 5% while selling it. At what price should he sell the item to make a profit of 5%?

Q5.Four years ago, the ratio of a mother's age to her daughter's age was 5:1. After 5 years from now, the ratio of the mother's age to the daughter's age will be 4:1. Find the present ages of the mother and the daughter.

Q6.If 2x + 3y = 8 and 4x^2 + 9y^2 = 32, then find the value of 8x^3 + 27y^3.

Q7.₹2,037 is divided among Vikas, Tina and Sumit in such a way that if their shares are reduced by ₹23, ₹42 and ₹52 respectively, then their remaining shares are in the ratio 14 : 19 : 15. Find Tina's actual share.

Q8.Find the simple interest on Rs 2,000 at a rate of 7% per annum for the period from 6 February 2023 to 20 April 2023.

Q9.If 3/4 of a number is 10% more than 20% of 882, then find the number.

Q10.A and B together can complete a piece of work in 12 days, while A and C together can complete the same work in 20 days. If B and C together complete the work in 15 days, find the ratio of the number of days in which A and B alone respectively complete the work.

Q11.A tower stands vertically on the ground. From a point on the ground which is 29.6 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45°. Find the height of the tower.

Q12.A water tank can be filled in 13 minutes using 46 identical pipes. How long (in minutes) will it take to fill the same tank if only 27 such pipes are used? (Round off the answer to two decimal places.)

Q13.The average age of 23 students of a class is 41 years. If the age of the teacher is also included, the average age of the whole group becomes 42 years. The age (in years) of the teacher is:

Q14.Radha has ₹10 and ₹5 coins. She has a total of 15 coins worth ₹85. How many coins of ₹5 does she have?

Q15.A camp has provisions for 20 pupils for 13 days. In how many days will the same provisions be used up, if the strength of the camp is increased to 65 pupils?

Q16.A shopkeeper declares the following three schemes of discounts. Which scheme is the most beneficial to a customer? Buy 42 items and get 47 of the same items Two successive discounts of 16% and 36% Two successive equal discounts of 46%

Q17.A, B and C can do a piece of work in 3, 6 and 2 days, respectively. How long (in days) will they take to do twice the same work, working together?

Q18.For 5 innings, a cricketer has an average of 80 runs. In the 6th inning, he scores 194 runs. His average score increased by .

Q19.A train travels at 84.6 km/hr. How many metres will it travel in 20 minutes?

Q20.The amount on a sum of ₹7,300 at 10% per annum compound interest, compounded annually, in 2 years will be:

Q21.Simplify: 86 − (− 16) × (− 8 − 20 − 18) ÷ [1 × {10 + (− 2) × (− 3)}]

Q22.A shopkeeper sells 10 identical watches for ₹10,500, which is the cost price of 8 watches. Find his loss percentage.

Q23.The cost price of a dress is ₹1,600. The shopkeeper makes a profit of 20% on selling it. If he offers a discount of 25% at the time of sale, find the marked price (in ₹).

Q25.What is the mode of the following data? 53, 53, 40, 49, 50, 48, 53, 50, 41, 40, 53, 45, 40, 47, 43, 52, 51, 42, 51, 53

Q26.The mean and the mode of a set of data are 20 and 88.7, respectively. Find the median of the data, using the empirical formula.

Q27.An agent sells a turbo cooker with a marked price of ₹6,370 at a discount of 50%. What is the selling price (in ₹) of the turbo cooker?

Q28.Two pipes, F and M, can fill a cistern in 25 minutes and 30 minutes, respectively. If both pipes are opened together, after how many minutes should pipe F be closed so that the cistern is completely filled in 15 minutes?

Q29.Sunita, Javed, and Rani invest ₹13,90,000, ₹4,70,000, and ₹15,40,000, respectively, to start a business. If the profit at the end of the year is ₹4,50,500, then what is the share of Rani in the profit?

Q30.The distance between points A and B is 663 km. Amit travels from A to B at 131 km/hr and returns at 24 km/hr. Calculate his average speed for the entire journey (rounded off to two decimal places).

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