Examius

🇮🇳 IBPS Clerk · subject

IBPS Clerk Quantitative Aptitude Syllabus

The Quantitative Aptitude syllabus for IBPS Clerk in full: 2 chapters and 14 topics, every one listed below, plus 50 Quantitative Aptitude flashcards with answers.

2Chapters
14Topics
50Flashcards

Quantitative Aptitude syllabus: all 2 chapters

Expand any chapter to see its topics and sub-topics.

  1. Arithmetic

     10 topics
    • Number Series
    • Simplification
    • Percentage
    • Ratio and Proportion
    • Average
    • Profit and Loss
    • Simple and Compound Interest
    • Time and Distance
    • Time and Work
    • Mixture and Allegation

  2. Data Interpretation

     4 topics
    • Pie Charts
    • Bar Graphs
    • Line Graphs
    • Tables

IBPS Clerk Quantitative Aptitude flashcards — 50 questions with answers

  1. What is a number series in quantitative aptitude?

    A sequence of numbers arranged according to a specific rule or pattern; the task is to identify the rule and find the missing or wrong term.

  2. In number series, what arithmetic relationship defines an arithmetic progression (AP)?

    Each term is obtained by adding a constant common difference (d) to the previous term: aₙ = a + (n-1)d.

  3. In a geometric progression (GP) series, how is each term related to the previous one?

    Each term is obtained by multiplying the previous term by a constant common ratio (r): aₙ = a·r^(n-1).

  4. What pattern characterizes a 'difference of differences' (second-order) number series?

    The differences between consecutive terms themselves form a pattern (e.g., they increase by a constant), so you analyze the second-level differences to find the rule.

  5. How do you spot a square/cube based number series?

    Check whether terms are perfect squares (1,4,9,16,25) or cubes (1,8,27,64,125), often with a small constant added or subtracted to each.

  6. What is the standard process to solve a 'find the wrong term' number series question?

    Identify the governing pattern from the majority of terms, then locate the single term that breaks that pattern and replace it with the correct value.

  7. What does 'Simplification' require, and which rule order governs it?

    Reducing a numerical expression to its simplest value following the BODMAS/VBODMAS order: Brackets, Of, Division, Multiplication, Addition, Subtraction.

  8. In BODMAS, what does the 'O' stand for and how is it treated?

    'Of' means multiplication and is performed before division and multiplication in the sequence (e.g., 1/2 of 10 = 5).

  9. What is the order for solving brackets in simplification?

    Solve in order: vinculum (bar) first, then ( ) round, then { } curly, then [ ] square brackets.

  10. What is the formula to convert a fraction or decimal into a percentage?

    Multiply by 100: percentage = (value/whole) × 100; e.g., 0.25 = 25%.

  11. How do you find x% of a number N?

    x% of N = (x/100) × N.

  12. What is the percentage increase/decrease formula?

    % change = (change in value / original value) × 100.

  13. If a value increases by x% then decreases by x%, what is the net effect?

    A net decrease of (x²/100)%; the final value is less than the original.

  14. What is the successive-percentage-change formula for two changes a% and b%?

    Net % change = a + b + (ab/100), using signs for increase (+) or decrease (-).

  15. What does a ratio a:b represent?

    A comparison of two quantities of the same kind by division, showing how many times one is of the other (a/b).

  16. State the fundamental property of proportion a:b = c:d.

    The product of extremes equals the product of means: a×d = b×c (cross multiplication).

  17. What is the formula for dividing an amount A in the ratio m:n?

    First part = A × m/(m+n); second part = A × n/(m+n).

  18. What is mean proportional (geometric mean) between a and b?

    √(a×b); it is the value x such that a:x = x:b.

  19. How is the average (arithmetic mean) of n numbers calculated?

    Average = (sum of all observations) / (number of observations).

  20. What is the average of the first n natural numbers?

    (n+1)/2.

Show the other 30 Quantitative Aptitude flashcards

  1. How does adding a new value affect an average, in formula terms?

    New average = (old sum + new value) / (old count + 1); the change depends on how the new value compares to the old average.

  2. What is the formula for the average speed of a whole journey covering equal distances at speeds x and y?

    Average speed = 2xy/(x+y) (the harmonic mean of the two speeds).

  3. Define profit and the profit formula in terms of cost price (CP) and selling price (SP).

    Profit occurs when SP > CP; Profit = SP - CP.

  4. What is the profit/loss percentage formula?

    Profit% = (Profit/CP) × 100; Loss% = (Loss/CP) × 100 — always calculated on the cost price.

  5. How do you find SP given CP and a profit percentage?

    SP = CP × (100 + Profit%)/100; for loss use (100 - Loss%)/100.

  6. What is the formula relating marked price (MP), discount, and selling price?

    SP = MP × (100 - Discount%)/100; Discount = MP - SP.

  7. What is the formula for simple interest (SI)?

    SI = (P × R × T)/100, where P=principal, R=rate% per annum, T=time in years.

  8. What is the compound interest (CI) amount formula for annual compounding?

    A = P(1 + R/100)^T, and CI = A - P.

  9. For 2 years, by how much does CI exceed SI on the same principal and rate?

    Difference = P × (R/100)² for 2 years.

  10. How is the compound amount formula adjusted for half-yearly compounding?

    A = P(1 + (R/2)/100)^(2T); rate is halved and time period is doubled.

  11. State the basic relationship between speed, distance, and time.

    Speed = Distance / Time; Distance = Speed × Time; Time = Distance / Speed.

  12. How do you convert km/hr to m/s and vice versa?

    km/hr → m/s: multiply by 5/18; m/s → km/hr: multiply by 18/5.

  13. What is relative speed for two objects moving in the same vs opposite directions?

    Same direction: subtract the speeds; opposite directions: add the speeds.

  14. What is the time taken by a train of length L to cross a stationary pole?

    Time = L / speed of the train (only the train's own length matters).

  15. How do you find time for a train of length L to cross a platform of length P?

    Time = (L + P) / speed of the train.

  16. If a person can do a work in n days, what is their one-day work?

    1/n of the work per day.

  17. If A does work in 'a' days and B in 'b' days, how long together?

    Combined time = ab/(a+b) days (their one-day works add: 1/a + 1/b).

  18. State the work-equivalence relation M₁D₁H₁/W₁ = M₂D₂H₂/W₂.

    Men×Days×Hours per unit Work is constant, used to compare two work scenarios with differing men, days, hours, and work amounts.

  19. What is the rule of allegation used to find?

    It finds the ratio in which two ingredients at different prices/concentrations must be mixed to get a mixture of a given mean price/concentration.

  20. State the allegation formula for the mixing ratio.

    (Cheaper quantity)/(Dearer quantity) = (Dearer price - Mean price)/(Mean price - Cheaper price).

  21. In repeated replacement, if a vessel has x litres and y is replaced with water n times, what fraction of original liquid remains?

    Remaining liquid = x × (1 - y/x)^n.

  22. What does a pie chart represent and how is each sector measured?

    A circle divided into sectors showing parts of a whole; each sector's central angle = (component value/total) × 360°.

  23. How do you convert a pie-chart percentage into degrees?

    Degrees = (percentage/100) × 360, equivalently 1% = 3.6°.

  24. What does a bar graph display and how are values read?

    It displays data using rectangular bars whose heights (or lengths) are proportional to the values they represent, read off a labelled axis/scale.

  25. What is the difference between a simple bar graph and a grouped (multiple) bar graph?

    A simple bar graph shows one data series; a grouped bar graph places several bars per category side by side to compare multiple series.

  26. What does a line graph best illustrate?

    Trends and changes in data over a continuous interval such as time, by connecting plotted data points with line segments.

  27. In a line graph, how do you identify the period of greatest increase?

    Find the segment with the steepest upward slope (largest positive change between consecutive points).

  28. What is a tabular (table) data-interpretation set?

    Data arranged in rows and columns; values are read at row-column intersections and combined using arithmetic to answer questions.

  29. What is the general approach to any Data Interpretation question (pie/bar/line/table)?

    Carefully read the title, units, and legend; extract the exact required values; then apply the relevant formula (percentage, ratio, average, or difference) accurately.

  30. How do you compute the percentage contribution of one category to the total in a table or bar graph?

    Percentage = (category value / sum of all categories) × 100.

IBPS Clerk Quantitative Aptitude FAQ

What is in the IBPS Clerk Quantitative Aptitude syllabus?

IBPS Clerk Quantitative Aptitude is split into 2 chapters: Arithmetic and Data Interpretation. Together they contain 14 topics.

How many chapters are in IBPS Clerk Quantitative Aptitude?

2 chapters, containing 14 topics. The largest chapter is Arithmetic, with 10 topics.

Are there flashcards for IBPS Clerk Quantitative Aptitude?

Yes — a 50-card Quantitative Aptitude deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.