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SBI Clerk Quantitative Aptitude Syllabus

The Quantitative Aptitude syllabus for SBI Clerk in full: 5 chapters and 19 topics, every one listed below, plus 50 Quantitative Aptitude flashcards with answers.

5Chapters
19Topics
50Flashcards

Quantitative Aptitude syllabus: all 5 chapters

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

  1. Number Series

     2 topics
    • Missing Number Series
    • Wrong Number Series

  2. Simplification/Approximation

     2 topics
    • Basic Simplification
    • Approximation Techniques

  3. Data Interpretation

     4 topics
    • Bar Graph
    • Line Graph
    • Pie Chart
    • Table Chart

  4. Quadratic Equations

     2 topics
    • Solving Quadratics
    • Comparing Roots

  5. Arithmetic Problems

     9 topics
    • Profit and Loss
    • Simple and Compound Interest
    • Time and Work
    • Time, Speed and Distance
    • Ratio and Proportion
    • Partnership
    • Average
    • Mixtures and Alligations
    • Mensuration

SBI Clerk Quantitative Aptitude flashcards — 50 questions with answers

  1. In a Missing Number Series, what is the first step to identify the missing term?

    Find the pattern/rule linking consecutive terms (difference, ratio, squares/cubes, alternating operations), then apply it at the gap to compute the missing value.

  2. In a Wrong Number Series, how do you locate the incorrect term?

    Establish the governing rule from the majority of terms, then find the single term that breaks the pattern; that term is the wrong number.

  3. What is a common pattern type in number series based on differences?

    An arithmetic-type series where differences themselves form a pattern (constant, increasing by a fixed amount, or following squares/cubes/primes).

  4. How do you recognize a geometric (multiplicative) number series?

    Each term is obtained by multiplying (or dividing) the previous term by a constant ratio, e.g., 3, 6, 12, 24 (ratio 2).

  5. What does BODMAS/BODMAS order of operations stand for in Simplification?

    Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction — the sequence in which operations must be performed.

  6. In simplification, what is the rule for 'of'?

    'of' means multiplication and is treated like the Brackets/Order step, performed before division and multiplication, e.g., 1/2 of 8 = 4.

  7. What is the key idea behind Approximation Techniques in aptitude?

    Round numbers to convenient values (nearest whole, ten, or known fraction/percentage) to estimate the answer quickly and match the closest option.

  8. What fraction approximations speed up percentage calculations? Give three.

    1/2 = 50%, 1/4 = 25%, 1/5 = 20%, 1/8 = 12.5%, 1/3 ≈ 33.33%, 1/6 ≈ 16.67%.

  9. In a Bar Graph, what does each bar's length/height represent?

    The magnitude/value of the category it represents; comparisons are made by reading bar heights against the value axis.

  10. What is the main use of a Line Graph in data interpretation?

    To show trends or changes in a quantity over time/intervals; the slope between points indicates increase, decrease, or rate of change.

  11. In a Pie Chart, how do you convert a sector's degree measure to a value?

    Value = (sector angle / 360) × total; or if percentages are given, value = (percentage/100) × total. 1% = 3.6°.

  12. In a Pie Chart, what angle corresponds to 25% of the total?

    90°, since 25% of 360° = 90°.

  13. What advantage does a Table Chart offer over graphs in data interpretation?

    It gives exact numerical values, allowing precise calculations rather than estimates read off a scale.

  14. How is percentage change calculated in data interpretation?

    Percentage change = (New value − Old value) / Old value × 100; positive = increase, negative = decrease.

  15. What is the quadratic formula for ax² + bx + c = 0?

    x = [−b ± √(b² − 4ac)] / (2a).

  16. For a quadratic ax² + bx + c = 0, what is the sum and product of roots?

    Sum of roots = −b/a; Product of roots = c/a.

  17. What does the discriminant (b² − 4ac) tell you about a quadratic's roots?

    > 0: two distinct real roots; = 0: two equal real roots; < 0: no real roots (complex).

  18. In quadratic-comparison questions, what are the possible relationships between x and y?

    x > y, x < y, x ≥ y, x ≤ y, x = y, or no relation (cannot be determined).

  19. When comparing roots of two quadratics, when is the answer 'cannot be determined / no relation'?

    When some roots of x are greater than some roots of y and vice versa (ranges overlap), so no consistent inequality holds.

  20. What is the basic formula for Profit and Profit Percentage?

    Profit = SP − CP; Profit% = (Profit / CP) × 100.

Show the other 30 Quantitative Aptitude flashcards

  1. What is the formula for Loss and Loss Percentage?

    Loss = CP − SP; Loss% = (Loss / CP) × 100.

  2. How do you find Selling Price given Cost Price and profit/loss percentage?

    SP = CP × (100 + Profit%)/100, or SP = CP × (100 − Loss%)/100.

  3. What is the discount formula in terms of Marked Price?

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

  4. What is the Simple Interest formula?

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

  5. What is the Compound Interest amount formula (annual compounding)?

    A = P(1 + R/100)^T; CI = A − P.

  6. For 2 years, what is the difference between CI and SI on principal P at rate R%?

    Difference = P × (R/100)².

  7. How is CI computed when interest is compounded half-yearly?

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

  8. What is the core formula relating Time and Work efficiency?

    Work = Rate × Time; if a person does a job in n days, one day's work = 1/n; combined rate = sum of individual rates.

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

    Time together = (a × b)/(a + b) days.

  10. In Time and Work, how does the LCM (units) method work?

    Take total work = LCM of given days; each worker's daily output = total work / their days; add outputs to get combined rate.

  11. What is the basic relationship in Time, Speed and Distance?

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

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

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

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

    Same direction: difference of speeds; opposite directions: sum of speeds.

  14. How long does a train of length L take to cross a platform of length P?

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

  15. What is the formula for average speed when equal distances are covered at speeds x and y?

    Average speed = 2xy/(x + y) (harmonic mean).

  16. What does a:b :: c:d (proportion) imply about cross products?

    a/b = c/d, so a × d = b × c (product of extremes = product of means).

  17. How do you divide an amount in the ratio a:b:c?

    Each share = (its part / sum of parts) × total amount, where sum of parts = a + b + c.

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

    √(ab) — the value x such that a:x = x:b.

  19. In Partnership, how is profit shared when capitals and time differ?

    Profit is divided in the ratio of each partner's (capital × time invested).

  20. What is the difference between a sleeping/dormant partner and an active partner?

    An active partner manages the business; a sleeping partner only invests capital and shares profit but does not participate in management.

  21. What is the formula for the Average of n numbers?

    Average = (Sum of all observations) / (Number of observations).

  22. If the average of n numbers is A and a new number x is added, what is the new average?

    New average = (nA + x)/(n + 1).

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

    (n + 1)/2.

  24. What is the Rule of Alligation used for?

    To find the ratio in which two ingredients/quantities at different prices (or concentrations) must be mixed to get a desired mean value.

  25. State the alligation ratio formula for mixing cheaper and dearer items.

    Cheaper quantity : Dearer quantity = (Dearer price − Mean) : (Mean − Cheaper price).

  26. In repeated replacement, if a vessel has Q litres and x litres are replaced n times, what fraction of original liquid remains?

    Remaining = Q × (1 − x/Q)^n.

  27. What is the formula for the area and perimeter of a rectangle?

    Area = length × breadth; Perimeter = 2 × (length + breadth).

  28. What are the area and circumference formulas for a circle?

    Area = πr²; Circumference = 2πr, where r is the radius.

  29. What is the volume and total surface area of a cylinder?

    Volume = πr²h; Total surface area = 2πr(r + h).

  30. What is the area of a triangle given base and height, and the area of an equilateral triangle of side a?

    Area = ½ × base × height; equilateral triangle area = (√3/4) × a².

SBI Clerk Quantitative Aptitude FAQ

What is in the SBI Clerk Quantitative Aptitude syllabus?

SBI Clerk Quantitative Aptitude is split into 5 chapters: Number Series, Simplification/Approximation, Data Interpretation, Quadratic Equations and Arithmetic Problems. Together they contain 19 topics.

How many chapters are in SBI Clerk Quantitative Aptitude?

5 chapters, containing 19 topics. The largest chapter is Arithmetic Problems, with 9 topics.

Are there flashcards for SBI 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.