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IBPS RRB PO Maths Practice Questions: 50 Solved Quant Problems

IBPS RRB Clerk Maths Practice Questions: 50 Solved Quant Problems

If you’re preparing for the IBPS RRB Clerk exam, solving IBPS RRB Clerk maths practice questions regularly is the single best way to build speed and accuracy in the Quantitative Aptitude section. 

The good news? Most of it comes down to practicing the same handful of question types until they become second nature — simplification, number series, percentages, interest, speed and work problems, and data interpretation.

In this post, I’ve put together a set of 50 IBPS RRB Clerk maths practice questions spanning every major topic you’ll see in the actual exam, along with a complete answer key and step-by-step solutions at the end.

These IBPS RRB clerk quantitative aptitude questions are designed to mirror the real exam pattern, so grab a pen, set a timer, and try to solve each section before checking your answers.

Why These IBPS RRB Clerk Maths Practice Questions Matter

The IBPS RRB Clerk Quant paper leans heavily on:

  • Speed-based calculation (simplification, approximation)
  • Pattern recognition (number series)
  • Real-world arithmetic (percentage, profit & loss, SI/CI)
  • Word problems (time-speed-distance, time & work, ages, mixtures)
  • Data reading and interpretation (tables, charts)

Working through a well-rounded set of IBPS RRB clerk maths practice questions covering all of these areas is the most reliable way to build both speed and accuracy before test day. Mastering these ten areas covers the vast majority of questions you’ll face in the actual bank clerk exam.

Section A: Simplification (Q1–Q8)

Simplification questions test how fast and accurately you can calculate. Aim to solve each in under 30 seconds.

Q1. 15% of 240 + 25% of 160 = ? 

A) 70 B) 76 C) 80 D) 66

Q2. √625 + √441 = ? 

A) 44 B) 46 C) 48 D) 50

Q3. (12)² − (8)² = ? 

A) 70 B) 75 C) 80 D) 85

Q4. 3/5 of 450 − 2/9 of 180 = ? 

A) 220 B) 230 C) 240 D) 250

Q5. 45% of 680 + 30% of 250 = ? 

A) 371 B) 381 C) 391 D) 401

Q6. √(7² + 24²) = ? 

A) 23 B) 24 C) 25 D) 26

Q7. 0.75 × 0.4 × 100 = ? 

A) 20 B) 25 C) 30 D) 35

Q8. 2/3 + 3/4 − 1/6 = ? 

A) 1 B) 1.25 C) 1.5 D) 1.75

Section B: Number Series (Q9–Q14)

Look for the pattern — is it a fixed multiplier, an increasing difference, or a sequence of squares?

Q9. 5, 10, 20, 40, 80, ? 

A) 150 B) 160 C) 170 D) 180

Q10. 3, 8, 15, 24, 35, ?

 A) 46 B) 48 C) 50 D) 52

Q11. 2, 6, 12, 20, 30, ? 

A) 40 B) 42 C) 44 D) 46

Q12. 7, 14, 28, 56, 112, ? 

A) 220 B) 222 C) 224 D) 226

Q13. 1, 4, 9, 16, 25, ? 

A) 32 B) 34 C) 36 D) 38

Q14. 100, 90, 81, 73, 66, ? 

A) 58 B) 60 C) 62 D) 64

Section C: Percentage & Profit-Loss (Q15–Q20)

Q15. If 20% of a number is 50, what is the number? 

A) 200 B) 225 C) 250 D) 275

Q16. A shopkeeper marks the price 25% above cost price and then gives a discount of 10%. Find his profit %. 

A) 10% B) 12.5% C) 15% D) 17.5%

Q17. The price of an item is increased by 20% and then decreased by 20%. Find the net % change. 

A) −2% B) −4% C) −6% D) 0%

Q18. A man sells an article at a 20% loss. Had he sold it for Rs.60 more, he would have gained 10%. Find the cost price. 

A) 180 B) 200 C) 220 D) 240

Q19. What percent of 250 is 75? 

A) 25% B) 30% C) 35% D) 40%

Q20. The cost price of 20 articles equals the selling price of 16 articles. Find the gain %. 

A) 20% B) 25% C) 30% D) 35%

Section D: Simple Interest & Compound Interest (Q21–Q25)

Q21. Find the simple interest on Rs.5000 at 8% p.a. for 3 years. 

A) 1000 B) 1100 C) 1200 D) 1300

Q22. Find the compound interest on Rs.4000 at 10% p.a. for 2 years, compounded annually. 

A) 800 B) 820 C) 840 D) 860

Q23. At what rate % p.a. will Rs.2000 amount to Rs.2400 in 4 years at simple interest? 

A) 4% B) 5% C) 6% D) 7%

Q24. The difference between CI and SI on a sum for 2 years at 10% p.a. is Rs.150. Find the sum.

 A) 12000 B) 13500 C) 15000 D) 16500

Q25. In how many years will a sum double itself at 12.5% p.a. simple interest? 

A) 6 B) 7 C) 8 D) 9

Section E: Time, Speed & Distance (Q26–Q30)

Q26. A train 150 m long crosses a pole in 15 seconds. Find its speed in km/hr. 

A) 30 B) 33 C) 36 D) 39

Q27. A car covers 300 km in 5 hours. Find its speed. 

A) 50 B) 55 C) 60 D) 65

Q28. Two trains, 120 m and 180 m long, run in opposite directions at 54 km/hr and 36 km/hr. Find the time taken to cross each other. 

A) 10 s B) 12 s C) 14 s D) 16 s

Q29. A boat’s speed in still water is 15 km/hr and the stream’s speed is 5 km/hr. Find the time to cover 40 km downstream. 

A) 1.5 hr B) 2 hr C) 2.5 hr D) 3 hr

Q30. A man walking at 5 km/hr reaches his office 6 minutes late; walking at 6 km/hr he reaches 2 minutes early. Find the distance to his office. 

A) 3 km B) 4 km C) 5 km D) 6 km

Section F: Time & Work (Q31–Q35)

Q31. A can do a work in 12 days, B in 15 days. Working together, how long will they take? 

A) 6 days B) 6⅔ days C) 7 days D) 7½ days

Q32. A and B together complete a job in 10 days. A alone can do it in 15 days. In how many days can B alone do it? 

A) 25 B) 28 C) 30 D) 32

Q33. 12 men complete a work in 18 days. In how many days will 18 men complete it? 

A) 10 B) 12 C) 14 D) 16

Q34. A can finish a work in 20 days. B is 25% more efficient than A. Find the number of days B takes. 

A) 14 B) 15 C) 16 D) 17

Q35. A, B and C can do a work in 10, 15 and 30 days respectively. Working together, how many days will they take? 

A) 4 B) 5 C) 6 D) 7

Section G: Ratio & Average (Q36–Q40)

Q36. The ratio of two numbers is 3:5 and their sum is 96. Find the larger number. 

A) 50 B) 55 C) 60 D) 65

Q37. Rs.1200 is divided among A, B, C in the ratio 2:3:5. Find B’s share. 

A) 320 B) 340 C) 360 D) 380

Q38. The average of 5 numbers is 27. If one number is excluded, the average becomes 25. Find the excluded number. 

A) 30 B) 32 C) 35 D) 38

Q39. The average age of 30 students is 12 years. Including the teacher’s age, the average becomes 13. Find the teacher’s age. 

A) 40 B) 41 C) 42 D) 43

Q40. Find the average of the first 20 natural numbers. 

A) 9.5 B) 10 C) 10.5 D) 11

Section H: Mixture & Alligation (Q41–Q42)

Q41. In what ratio should tea worth Rs.20/kg be mixed with tea worth Rs.32/kg so the mixture is worth Rs.26/kg? 

A) 1:1 B) 1:2 C) 2:1 D) 2:3

Q42. How many kg of sugar costing Rs.40/kg must be mixed with 20 kg of sugar costing Rs.60/kg so the mixture is worth Rs.48/kg? 

A) 25 kg B) 28 kg C) 30 kg D) 32 kg

Section I: Ages (Q43–Q45)

Q43. A father’s present age is 3 times his son’s age. After 12 years, the father’s age will be twice the son’s age. Find the son’s present age. A) 10 B) 12 C) 14 D) 16

Q44. The sum of the present ages of A and B is 40 years. Five years ago, the ratio of their ages was 2:3. Find A’s present age. A) 15 B) 17 C) 19 D) 21

Q45. A is 3 times as old as B. Five years ago, A was 4 times as old as B was then. Find B’s present age. A) 10 B) 15 C) 20 D) 25

Section J: Data Interpretation (Q46–Q50)

No set of IBPS RRB PO maths practice questions is complete without data interpretation, since DI sets typically carry heavy weightage in the actual exam. The table below shows the number of students in 5 classes over 3 years.

Class202120222023
A120140160
B150130170
C100120130
D180160200
E130150140

Q46. What is the total number of students in class B over the three years? 

A) 430 B) 440 C) 450 D) 460

Q47. Which class had the highest number of students in 2023? 

A) B B) C C) D D) E

Q48. What is the percentage increase in class A’s students from 2021 to 2023? 

A) 30% B) 33.33% C) 35% D) 40%

Q49. Find the average number of students in class C over the three years. 

A) 110 B) 113.33 C) 116.67 D) 120

Q50. What is the ratio of the total number of students (all classes) in 2021 to that in 2023? 

A) 3:4 B) 4:5 C) 17:20 D) 13:15

Answer Key with Full Solutions

Q1. B) 76 — 15% of 240 = 36; 25% of 160 = 40; total = 76.

Q2. B) 46 — √625 = 25, √441 = 21; sum = 46.

Q3. C) 80 — 144 − 64 = 80.

Q4. B) 230 — 3/5×450 = 270; 2/9×180 = 40; 270−40 = 230.

Q5. B) 381 — 45%×680 = 306; 30%×250 = 75; total = 381.

Q6. C) 25 — 49+576 = 625; √625 = 25 (Pythagorean triplet 7-24-25).

Q7. C) 30 — 0.75×0.4 = 0.3; ×100 = 30.

Q8. B) 1.25 — LCM 12: 8/12+9/12−2/12 = 15/12 = 1.25.

Q9. B) 160 — Each term ×2.

Q10. B) 48 — Differences: 5,7,9,11,13 → next term 35+13 = 48.

Q11. B) 42 — Differences: 4,6,8,10,12 → 30+12 = 42.

Q12. C) 224 — Each term ×2.

Q13. C) 36 — Perfect squares (1²…6²) → 36.

Q14. B) 60 — Differences: −10,−9,−8,−7,−6 → 66−6 = 60.

Q15. C) 250 — Number = 50/0.20 = 250.

Q16. B) 12.5% — CP=100, MP=125, SP=125×0.9=112.5 → profit = 12.5%.

Q17. B) −4% — Net = (100+20)(100−20)/100 − 100 = 96−100 = −4%.

Q18. B) 200 — 0.8CP + 60 = 1.1CP → 0.3CP = 60 → CP = 200.

Q19. B) 30% — 75/250×100 = 30%.

Q20. B) 25% — CP of 20 = SP of 16 → SP per unit = 20/16 = 1.25 × CP → gain 25%.

Q21. C) 1200 — SI = (5000×8×3)/100 = 1200.

Q22. C) 840 — A = 4000×1.1² = 4840; CI = 840.

Q23. B) 5% — SI=400; Rate = (400×100)/(2000×4) = 5%.

Q24. C) 15000 — Diff = P×(r/100)² → 150 = P×0.01 → P = 15000.

Q25. C) 8 — Time = 100/Rate = 100/12.5 = 8 years.

Q26. C) 36 — Speed = 150m/15s = 10 m/s = 36 km/hr.

Q27. C) 60 — 300/5 = 60 km/hr.

Q28. B) 12 — Relative speed = 90 km/hr = 25 m/s; total length = 300 m; time = 300/25 = 12 s.

Q29. B) 2 — Downstream speed = 15+5 = 20 km/hr; time = 40/20 = 2 hr.

Q30. B) 4 — D(1/5 − 1/6) = 8/60 hr → D×(1/30) = 8/60 → D = 4 km.

Q31. B) 6⅔ days — Combined rate = 1/12+1/15 = 9/60 = 3/20; time = 20/3 = 6⅔ days.

Q32. C) 30 — 1/B = 1/10 − 1/15 = 1/30 → B = 30 days.

Q33. B) 12 — Men×Days constant: 12×18 = 216; 216/18 = 12 days.

Q34. C) 16 — B’s time = 20/1.25 = 16 days.

Q35. B) 5 — 1/10+1/15+1/30 = 6/30 = 1/5 → 5 days.

Q36. C) 60 — Total parts = 8; 1 part = 12; larger = 5×12 = 60.

Q37. C) 360 — Total parts = 10; B’s share = 3/10×1200 = 360.

Q38. C) 35 — Sum of 5 = 135; sum of 4 = 100; excluded = 35.

Q39. D) 43 — Sum of 30 students = 360; sum of 31 = 13×31 = 403; teacher’s age = 403−360 = 43.

Q40. C) 10.5 — Sum = 20×21/2 = 210; average = 10.5.

Q41. A) 1:1 — Alligation: (32−26):(26−20) = 6:6 = 1:1.

Q42. C) 30 kg — Alligation: (60−48):(48−40) = 12:8 = 3:2; cheap qty = (3/2)×20 = 30 kg.

Q43. B) 12 — F=3S; 3S+12 = 2(S+12) → S = 12.

Q44. B) 17 — 5 years ago sum = 30; ratio 2:3 → parts=5, x=6; A(5 yrs ago)=12 → A now = 17.

Q45. B) 15 — A=3B; 3B−5 = 4(B−5) → 3B−5 = 4B−20 → B = 15.

Q46. C) 450 — 150+130+170 = 450.

Q47. C) D — 2023 values: A160, B170, C130, D200, E140 → highest is D.

Q48. B) 33.33% — (160−120)/120×100 = 33.33%.

Q49. C) 116.67 — (100+120+130)/3 = 350/3 = 116.67.

Q50. C) 17:20 — 2021 total = 680; 2023 total = 800; ratio = 680:800 = 17:20.

Final Tips for Solving IBPS RRB Clerk Maths Practice Questions

  • Don’t skip the easy sections. Simplification and number series are your fastest points — bank them first.
  • Memorize squares up to 30 and cubes up to 15. It shaves seconds off almost every calculation question.
  • Practice alligation and mixture problems — they look intimidating but follow one repeatable formula.
  • Time yourself. Aim for 30–40 seconds on simplification/series, and 60–90 seconds on word problems and DI.
  • Revisit these IBPS RRB Clerk maths practice questions weekly so the formulas and shortcuts stay fresh in your memory.

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