IBPS Clerk Quantitative Aptitude Syllabus

Quantitative Aptitude syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Quantitative Aptitude in IBPS Clerk, not a summary of it.

1. 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. 2

   Data Interpretation

   4 topics

   • Pie Charts
   • Bar Graphs
   • Line Graphs
   • Tables

Quantitative Aptitude flashcards for IBPS Clerk

21 of 50 cards from the Quantitative Aptitude deck — real questions with worked 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.

21. 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.

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