SBI 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 SBI Clerk, not a summary of it.

1. 1

   Number Series

   2 topics

   • Missing Number Series
   • Wrong Number Series
2. 2

   Simplification/Approximation

   2 topics

   • Basic Simplification
   • Approximation Techniques
3. 3

   Data Interpretation

   4 topics

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

   Quadratic Equations

   2 topics

   • Solving Quadratics
   • Comparing Roots
5. 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

Quantitative Aptitude flashcards for SBI Clerk

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

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

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

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