Previous year questions · IBPS PO (Probationary Officer) - Prelims

IBPS PO (Probationary Officer) - Prelims Quantitative Aptitude — Previous Year Questions

470 Quantitative Aptitude questions asked in past IBPS PO (Probationary Officer) - Prelims papers, split into 47 timed practice sets — every question with its answer and explanation.

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About IBPS PO (Probationary Officer) - Prelims Quantitative Aptitude previous year questions

This page collects every Quantitative Aptitude question that has appeared in past IBPS PO (Probationary Officer) - Prelims papers on AajExam — 470 questions in total, organised into 47 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 Quantitative Aptitude preparation you can do for IBPS PO (Probationary Officer) - Prelims: 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 Quantitative Aptitude 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 IBPS PO (Probationary Officer) - Prelims 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 IBPS PO (Probationary Officer) - Prelims previous-year papers are linked below as well.

Quantitative Aptitude PYQs asked in IBPS PO (Probationary Officer) - Prelims

A sample of 30 questions from the full bank of 470. Try each one before opening the solution — the remaining questions are in the timed practice sets below.

  1. Q1.A and B invested an amount of Rs. 6000 and Rs. 9000 respectively in a business for the time duration in the ratio of 5 : 3. If they earned a profit of Rs. 4370. Find the share of A in the profit.

    • A.2300
    • B.2400
    • C.2500
    • D.2600
    • E.2700
    Show answer

    Answer: A. 2300

  2. Q2.Two pipes A and B can fill a tank in 18 and 36 hours respectively. An outlet pipe C can empty it in 24 hours. If they opened together, then in how many hours the 3/4th of the capacity of the tank is filled? 1. 2. 3. 4. 5.

    • A.22 hours
    • B.24 hours
    • C.16 hours
    • D.20 hours
    • E.18 hours
    Show answer

    Answer: E. 18 hours

  3. Q3.A person invested Rs. 8800 at 10% rate of simple interest per annum in bank A for x years and Rs. 8200 at 20% rate of simple interest per annum in bank B for 3 years less than the time for which he invested in bank A and receives equal interest from both the banks. Find the approximate value of x.

    • A.6 years
    • B.7 years
    • C.5 years
    • D.7.5 years
    • E.6.5 years
    Show answer

    Answer: E. 6.5 years

  4. Q4.Que. 45The speed of boat in downstream is 16 km/hr and upstream is 10 km/hr. Find the speed of boat in still water? Que. 45 Que. 45

    • A.15 km/hr
    • B.11 km/hr
    • C.9 km/hr
    • D.13 km/hr
    • E.12.5 km/hr
    Show answer

    Answer: D. 13 km/hr

  5. Q5.In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. x2 = 81 (y - 9)2 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.Either x = y or Relationship between x and y cannot be established
    Show answer

    Answer: D. x ≤ y

  6. Q6.In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. x2 + 7x + 12 = 0 y2 + 5y + 6 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.Either x = y or Relationship between x and y cannot be established
    Show answer

    Answer: D. x ≤ y

  7. Q7.In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. 3x2 - 8x + 4 = 0 6y2 - 7y - 10 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.Either x = y or Relationship between x and y cannot be established
    Show answer

    Answer: E. Either x = y or Relationship between x and y cannot be established

  8. Q8.In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. x2 - 18x - 63 = 0 y2 - 8y - 48 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.Either x = y or Relationship between x and y cannot be established
    Show answer

    Answer: E. Either x = y or Relationship between x and y cannot be established

  9. Q9.In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. x2 - 5x - 84 = 0 y2 - 3y - 88 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.Either x = y or Relationship between x and y cannot be established
    Show answer

    Answer: E. Either x = y or Relationship between x and y cannot be established

  10. Q10.Directions: The following table represents the total number of people and number of females in the society. Read the table carefully and answer the following questions. Society Total number of People Total number of Females A 1100 300 B 950 400 C 1250 750 D 850 250 E 1600 800 Find the ratio between the total number of people in society B and D to the total number of females in society C and D together.

    • A.10 : 7
    • B.11 : 5
    • C.9 : 5
    • D.5 : 11
    • E.27 : 10
    Show answer

    Answer: C. 9 : 5

  11. Q11.Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and find relation between x and y. I. x2 + 14x + 48 = 0 II. y2 + 12y + 32 =0

    • A.x ≥ y
    • B.x > y
    • C.Relationships cannot be established between x and y
    • D.x ≤ y
    • E.y > x
    Show answer

    Answer: C. Relationships cannot be established between x and y

  12. Q12.In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. I. 16x2 – 32x + 15 = 0 II. 16y2 – 48y + 35 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.x = y or no relationship could be established
    Show answer

    Answer: D. x ≤ y

  13. Q13.In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. x2 – 35x + 294 = 0 II. y2 – 68y + 1140 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.x = y or relationship between x and y cannot be established.
    Show answer

    Answer: B. x < y

  14. Q14.In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. x2 - 12x + 35 = 0 II. y2 - 25y + 126 = 0

    • A.x > y
    • B.x < y
    • C.x ≥ y
    • D.x ≤ y
    • E.x = y or relationship between x and y cannot be established.
    Show answer

    Answer: D. x ≤ y

  15. Q15.Directions: Degree- wise breakup of employees working in various department of an organisation and the ratio to men to women. Respective ratio of men to women in each department Department Men Women Production 5 4 HR 20 13 IT 5 4 Marketing 7 10 Accounts 15 17 What is the number of men working in the marketing department?

    • A.240
    • B.360
    • C.420
    • D.720
    • E.500
    Show answer

    Answer: C. 420

  16. Q16.What is the respective ratio of the number of women working in the Marketing department and the number of men working in the Hr department?

    • A.3 : 4
    • B.4 : 5
    • C.7 : 5
    • D.4 : 7
    • E.9 : 4
    Show answer

    Answer: A. 3 : 4

  17. Q17.The number of men working in the IT department of the Organisation is approximately what percent of the total number of employees working in that department?

    • A.24%
    • B.56%
    • C.40%
    • D.72%
    • E.50%
    Show answer

    Answer: B. 56%

  18. Q18.The number of women working in the Production department of the Organisation is what percent of the total number of employees working in all the department together?

    • A.4%
    • B.6%
    • C.5%
    • D.7%
    • E.8%
    Show answer

    Answer: E. 8%

  19. Q19.What is the total number of women working in the organisation?

    • A.2450
    • B.2830
    • C.2520
    • D.2480
    • E.3320
    Show answer

    Answer: B. 2830

  20. Q20.Directions: Read the following data carefully and answer the questions given below: There are 6300 students in Manipur University in the academic year 2020. The ratio of the boys to the girls in the University is 5 : 4. All the students are enrolled in different indoor activities (Chess, Carom, Debating, Painting, and Quiz) and one student is enrolled in only one indoor activity. The number of boys enrolled in the Painting is 621. The ratio of the number of boys who enrolled in Chess to the number of boys who enrolled in Carom is 5 : 3. 36% of the students are enrolled in Quiz. The number of boys enrolled in Debating is 25% of the total number of boys. The number of girls enrolled in Quiz is 640 which is 150 less than the number of girls enrolled in Carom. The number of girls enrolled in Chess is 186 more than the number of boys enrolled in the same activity. The total number of students enrolled in Painting is 816. Find the percentage of students of the university who are enrolled in Chess. (approximately)

    • A.10%
    • B.20%
    • C.15%
    • D.25%
    • E.None of the above
    Show answer

    Answer: A. 10%

  21. Q21.Find the ratio of the number of boys enrolled in Carom to the number of girls enrolled in the same activity.

    • A.151 : 790
    • B.141 : 790
    • C.2 : 9
    • D.23 : 17
    • E.59 : 31
    Show answer

    Answer: B. 141 : 790

  22. Q22.The difference in the number of boys and girls who are enrolled in painting is what percentage of the total number of students who are enrolled in Debating? (approximately)

    • A.20%
    • B.34%
    • C.26%
    • D.38%
    • E.None of the above
    Show answer

    Answer: C. 26%

  23. Q23.Find the number of girls who are enrolled in Debating.

    • A.875
    • B.141
    • C.640
    • D.790
    • E.754
    Show answer

    Answer: E. 754

  24. Q24.The total number of girls in Quiz is approximately what percent of the total number of students in Quiz?

    • A.18%
    • B.72%
    • C.62%
    • D.28%
    • E.36%
    Show answer

    Answer: D. 28%

  25. Q25.10 years ago, respective ratio of the age of mother and daughter was 4 : 1. 10 years later, the respective ratio of the age of mother and daughter will become 2 : 1. At present, what is the sum of their age?

    • A.55 years
    • B.65 years
    • C.70 years
    • D.75 years
    • E.77 years
    Show answer

    Answer: C. 70 years

  26. Q26.The income of Aman is Rs. 30,000 per month and his expenditure is Rs. 20,000 per month. In the next month, his income increases by Rs. 10,000 per month, and expenditure increases to Rs. 25,000 per month. In the next month, his savings increases by what percent?

    • A.55%
    • B.25%
    • C.100%
    • D.12.5%
    • E.None of these
    Show answer

    Answer: E. None of these

  27. Q27.There is 80% increase in an amount in 8 years at simple interest. What will be the compound interest on Rs. 15,000 after 3 years at the same rate of interest?

    • A.Rs. 4,565
    • B.Rs. 5,000
    • C.Rs. 4,550
    • D.Rs. 4,695
    • E.Rs. 4,965
    Show answer

    Answer: E. Rs. 4,965

  28. Q28.In a class, there are certain numbers of students. Their average age is 12 years. If two students leave the class, their ages are 23 years and 25 years respectively. Then the average age of the class becomes 11 years. Find the number of students in the class.

    • A.25
    • B.28
    • C.30
    • D.26
    • E.35
    Show answer

    Answer: D. 26

  29. Q29.A school has 45% girls. If 80% of girls score more than 75% marks and 70% of the boys have score more than 75% marks. If a student is selected at random and is found to have more than 75% marks, find the probability of it being a boy.

    • A.77/149
    • B.75/149
    • C.Cannot be determined
    • D.11/20
    • E.9/20
    Show answer

    Answer: A. 77/149

  30. Q30.What should come in place of the question mark '?' in the following number series? 46, ?, 284, 345, 378, 391

    • A.187
    • B.180
    • C.190
    • D.175
    • E.192
    Show answer

    Answer: A. 187

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Frequently Asked Questions

How many IBPS PO (Probationary Officer) - Prelims Quantitative Aptitude previous year questions are available?

470 Quantitative Aptitude questions from past IBPS PO (Probationary Officer) - Prelims papers are available on AajExam, split into 47 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 IBPS PO (Probationary Officer) - Prelims repeat questions from previous years?

Exact repeats do occur, but the more reliable pattern is conceptual: the same Quantitative Aptitude 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 IBPS PO (Probationary Officer) - Prelims 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.

IBPS PO (Probationary Officer) - Prelims Quantitative Aptitude practice sets

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

Related Quantitative Aptitude topics