About this IBPS PO Quantitative Aptitude practice test

Quantitative Aptitude in IBPS PO puts more weight on Data Interpretation than almost any other Indian competitive exam — DI sets alone can account for 15–20 of the 35 Prelims marks. The rest is built from Number Series, Simplification and Approximation, Quadratic Equations, and Arithmetic chapters like Percentage, Profit/Loss, Simple/Compound Interest, Time-Work-Pipes, Speed-Distance-Time and Mixtures & Alligation, and because every one of these rewards calculation speed over conceptual difficulty, consistent timed practice is what actually moves your score across IBPS PO, SBI PO and IBPS Clerk.

IBPS PO Quantitative Aptitude Practice Test sample questions

These starter questions help you launch a quantitative aptitude mock test quickly. Swap them with your own worksheet, notebook, or textbook questions any time.

1. 1. Data Interpretation (Set 1): The table below shows the sales (in thousand units) of three products - X, Y and Z - by a company over three years.

2. Product X: 2021 = 320, 2022 = 380, 2023 = 450

3. Product Y: 2021 = 250, 2022 = 300, 2023 = 275

4. Product Z: 2021 = 400, 2022 = 420, 2023 = 460

5. What is the total combined sales (in thousand units) of all three products in the year 2022?

6. 2. Data Interpretation (Set 1 contd.): Using the same sales table as above, what is the percentage increase in the sales of Product X from 2021 to 2023?

7. 3. Data Interpretation (Set 2): A bar graph shows the number of students enrolled in five schools - P, Q, R, S and T - during 2022 and 2023.

8. School P: 2022 = 240, 2023 = 280

9. School Q: 2022 = 300, 2023 = 270

10. School R: 2022 = 180, 2023 = 220

11. School S: 2022 = 260, 2023 = 300

12. School T: 2022 = 220, 2023 = 260

13. What is the overall percentage increase in the total number of students across all five schools from 2022 to 2023?

14. 4. Data Interpretation (Set 2 contd.): Using the same bar graph data, what is the ratio of the number of students in School R to School S in the year 2023?

15. 5. Data Interpretation: A family's monthly income of Rs 60,000 is distributed as follows - Rent 25%, Food 20%, Education 15%, Transport 10%, Savings 20%, Others 10%. How much more does the family spend on Food than on Transport every month?

16. 6. Data Interpretation: A line graph shows the rainfall (in mm) recorded in a city over six months - January = 60, February = 45, March = 90, April = 75, May = 110, June = 95. What is the average monthly rainfall (in mm) recorded over these six months?

17. 7. Find the missing term in the series: 5, 9, 17, 33, 65, ?

18. 8. Find the missing term in the series: 8, 12, 19, 29, 42, ?

19. 9. Find the missing term in the series: 6, 18, 72, 360, 2160, ?

20. 10. Simplify: (15 x 18) / 9 + 144 / 12 - 25 = ?

21. 11. Find the approximate value of: 48.97% of 650 + 39.98

22. 12. Simplify: (7/9 of 162) - (5/8 of 96) + 15 = ?

23. 13. I. x^2 - 11x + 30 = 0 II. y^2 - 13y + 42 = 0. Solve both equations and determine the relationship between x and y.

24. 14. I. 2x^2 - 9x + 10 = 0 II. 2y^2 - 11y + 12 = 0. Solve both equations and determine the relationship between x and y.

25. 15. I. x^2 - 7x + 12 = 0 II. y^2 - 5y + 6 = 0. Solve both equations and determine the relationship between x and y.

26. 16. In an exam, a student needs 45% of the total marks to pass. He scored 189 marks and failed by 36 marks. Find the maximum marks of the exam.

27. 17. The population of a town increased by 20% in the first year and then decreased by 15% in the second year. If the population after two years is 20,400, find the original population.

28. 18. A's income is 40% more than B's income. By what percentage is B's income less than A's income?

29. 19. A shopkeeper marks an article 40% above its cost price and then allows a discount of 15% on the marked price. Find his profit percentage.

30. 20. A trader sold two watches for Rs 1,920 each. On one he gained 20% and on the other he lost 20%. Find his overall gain or loss percentage on the whole transaction.

31. 21. A shopkeeper allows successive discounts of 20% and 10% on an article marked at Rs 2,500. Find the effective discount percentage and the final selling price.

32. 22. Find the simple interest on Rs 8,000 at 9% per annum for 3 years and 4 months.

33. 23. A sum of Rs 15,000 is invested at compound interest, compounded annually, at 10% per annum. Find the compound interest earned after 2 years.

34. 24. The difference between the compound interest and simple interest on a certain sum for 2 years at 8% per annum is Rs 512. Find the sum.

35. 25. A can complete a piece of work in 15 days and B can complete the same work in 10 days. They work together for 3 days, after which A leaves. In how many more days will B alone finish the remaining work?

36. 26. Pipe A can fill a tank in 12 hours and Pipe B can fill it in 18 hours, while Pipe C can empty the full tank in 9 hours. If all three pipes are opened together, in how many hours will the tank be filled?

37. 27. A car travels 60 km at a speed of 40 km/h and the next 90 km at a speed of 60 km/h. Find its average speed for the entire journey.

38. 28. A train 240 metres long is running at a speed of 63 km/h. Find the time it takes to cross a platform 360 metres long.

39. 29. In what ratio must a shopkeeper mix tea worth Rs 180 per kg with tea worth Rs 280 per kg so that, on selling the mixture at Rs 264 per kg, he earns a profit of 20%?

40. 30. A container has 40 litres of a mixture of milk and water in the ratio 3:1. How many litres of water must be added to the mixture so that the resulting ratio of milk to water becomes 3:2?

Answer key & quick explanations

Short answers for the sample questions above. Use this to self-check before generating a fresh AI-built mock test.

1. 1. DI Set 1 - Total sales in 2022

   1,100 thousand units

   Add the 2022 figures for all three products: 380 (X) + 300 (Y) + 420 (Z) = 1,100 thousand units.

2. 2. DI Set 1 - % increase in X (2021 to 2023)

   40.625% (approx. 40.63%)

   Increase = 450 - 320 = 130. Percentage increase = (130/320) x 100 = 40.625%.

3. 3. DI Set 2 - overall % increase in students

   approx. 10.83%

   Total 2022 = 240+300+180+260+220 = 1,200. Total 2023 = 280+270+220+300+260 = 1,330. Increase = 130, so % increase = (130/1200) x 100 = 10.83%.

4. 4. DI Set 2 - ratio R:S in 2023

   11:15

   School R in 2023 = 220 and School S in 2023 = 300. Dividing both by their HCF (20) gives 220:300 = 11:15.

5. 5. Pie chart - Food vs Transport spend

   Rs 6,000

   Food = 20% of 60,000 = Rs 12,000; Transport = 10% of 60,000 = Rs 6,000. Difference = 12,000 - 6,000 = Rs 6,000.

6. 6. Line graph - average monthly rainfall

   approx. 79.17 mm

   Sum of rainfall = 60+45+90+75+110+95 = 475 mm over 6 months. Average = 475/6 = 79.17 mm.

7. 7. Number series: 5,9,17,33,65,?

   129

   Each term is obtained as (previous term x 2) - 1: 5x2-1=9, 9x2-1=17, 17x2-1=33, 33x2-1=65, 65x2-1=129.

8. 8. Number series: 8,12,19,29,42,?

   58

   The differences between consecutive terms increase by 3 each time: 4, 7, 10, 13, 16. So the next term = 42 + 16 = 58.

9. 9. Number series: 6,18,72,360,2160,?

   15,120

   Each term is obtained by multiplying the previous term by an increasing factor (3,4,5,6,7): 360x6=2160, and 2160x7=15,120.

10. 10. Simplify (15x18)/9 + 144/12 - 25

    17

    (15x18)/9 = 270/9 = 30. 144/12 = 12. So the expression becomes 30 + 12 - 25 = 17.

11. 11. Approximate 48.97% of 650 + 39.98

    approx. 358

    48.97% of 650 is close to 49% of 650 = 318.5 (exact 318.305); adding 39.98 (approx. 40) gives approximately 358.

12. 12. Simplify (7/9 of 162) - (5/8 of 96) + 15

    81

    7/9 of 162 = 126. 5/8 of 96 = 60. So the expression is 126 - 60 + 15 = 81.

13. 13. Quadratic: x^2-11x+30=0 vs y^2-13y+42=0

    x <= y

    Factorising gives x = 5 or 6, and y = 6 or 7. Comparing every possible pair, x is always less than or equal to y, so x <= y.

14. 14. Quadratic: 2x^2-9x+10=0 vs 2y^2-11y+12=0

    Relationship cannot be determined

    Solving gives x = 2 or 2.5, and y = 1.5 or 4. Some pairs give x>y (2 vs 1.5) and others give x<y (2 vs 4), so no fixed relation exists.

15. 15. Quadratic: x^2-7x+12=0 vs y^2-5y+6=0

    x >= y

    Factorising gives x = 3 or 4, and y = 2 or 3. Checking all pairs, x is always greater than or equal to y, so x >= y.

16. 16. Percentage: pass marks and maximum marks

    500

    Passing marks = 189 + 36 = 225, which is 45% of the maximum marks. Maximum marks = 225 / 0.45 = 500.

17. 17. Percentage: population increase then decrease

    20,000

    Net multiplier = 1.20 x 0.85 = 1.02. Since 1.02 x original population = 20,400, original population = 20,400 / 1.02 = 20,000.

18. 18. Percentage: B's income relative to A's

    approx. 28.57% (200/7 %)

    If B = 100, A = 140. B is less than A by (40/140) x 100 = 28.57%.

19. 19. Profit%: marked up 40%, discount 15%

    19%

    Taking CP = 100, MP = 140. SP after 15% discount = 140 x 0.85 = 119. Profit = 19, so profit% = 19%.

20. 20. Overall loss% on two watches

    4% loss

    CP1 = 1920/1.20 = 1600 and CP2 = 1920/0.80 = 2400, so total CP = 4000 while total SP = 3840. Loss = 160, giving loss% = (160/4000) x 100 = 4%.

21. 21. Successive discounts 20% and 10%

    Effective discount 28%; SP = Rs 1,800

    After 20% off, price = 2500 x 0.80 = 2000; after a further 10% off, price = 2000 x 0.90 = 1800. Effective discount = (2500-1800)/2500 x 100 = 28%.

22. 22. SI on Rs 8,000 at 9% for 3 yrs 4 months

    Rs 2,400

    Time = 3 years 4 months = 10/3 years. SI = (8000 x 9 x 10/3)/100 = 720000/300 = Rs 2,400.

23. 23. CI on Rs 15,000 at 10% for 2 years

    Rs 3,150

    CI = P[(1+r/100)^n - 1] = 15000[(1.1)^2 - 1] = 15000 x 0.21 = Rs 3,150.

24. 24. Sum from CI-SI difference of Rs 512 at 8%, 2 yrs

    Rs 80,000

    For 2 years, CI - SI = P x (r/100)^2. So P x (0.08)^2 = 512, giving P = 512/0.0064 = Rs 80,000.

25. 25. Time and work: A and B, A leaves after 3 days

    5 days

    A's rate = 1/15, B's rate = 1/10; combined = 1/6 per day. In 3 days, 3/6 = 1/2 of the work is done, leaving 1/2. B alone at 1/10 per day needs (1/2)/(1/10) = 5 days.

26. 26. Pipes and cisterns: A, B fill, C empties

    36 hours

    Rates: A = 1/12, B = 1/18, C = -1/9. Combined = 3/36 + 2/36 - 4/36 = 1/36 per hour, so the tank fills in 36 hours.

27. 27. Average speed over two legs of a journey

    50 km/h

    Time for first leg = 60/40 = 1.5 h; time for second leg = 90/60 = 1.5 h. Total distance 150 km in total time 3 h gives average speed = 150/3 = 50 km/h.

28. 28. Train crossing a platform

    approx. 34.29 seconds (240/7 s)

    Speed = 63 km/h = 17.5 m/s. Distance to cover = train length + platform length = 240+360 = 600 m. Time = 600/17.5 = 240/7 = approx. 34.29 seconds.

29. 29. Alligation: mixing two teas for 20% profit

    3:2

    Required cost price of the mixture = SP/(1+profit%) = 264/1.2 = Rs 220. By alligation, ratio = (280-220):(220-180) = 60:40 = 3:2 (cheaper:dearer).

30. 30. Mixture: adding water to change ratio

    10 litres

    Initially milk = 30 L and water = 10 L (3:1 of 40 L). Milk stays fixed; for milk:water = 3:2, water needed = (2/3) x 30 = 20 L, so 20-10 = 10 litres must be added.

Curriculum Mapping & Learning Guide

Use this breakdown to identify which skills each question tests and guide post-test review.

IBPS PO Quantitative Aptitude units covered

1. Chapter 1: Data Interpretation (Tables, Bar Graphs, Line Graphs, Pie Charts)
2. Chapter 2: Number Series (Find the Missing Term)
3. Chapter 3: Simplification and Approximation
4. Chapter 4: Quadratic Equations
5. Chapter 5: Percentage and Its Applications
6. Chapter 6: Profit, Loss and Discount
7. Chapter 7: Simple and Compound Interest
8. Chapter 8: Time and Work, Pipes and Cisterns
9. Chapter 9: Speed, Distance, Time and Trains
10. Chapter 10: Mixtures and Alligation

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