SBI PO / 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 PO / Clerk, not a summary of it.

1. 1

   Number System and Simplification

   4 topics

   • Number Properties
     • Factors, multiples, LCM and HCF
     • Divisibility rules and remainders
     • Prime, composite and co-prime numbers
   • Simplification and Approximation
     • BODMAS rule application
     • Decimal, fraction and surd simplification
     • Value approximation in mixed expressions
   • Squares, Cubes and Roots
     • Square roots and cube roots
     • Memorised tables, squares up to 30, cubes up to 20
   • Indices and Surds
     • Laws of exponents
     • Rationalisation of surds
2. 2

   Arithmetic

   7 topics

   • Percentage
     • Percentage to fraction conversions
     • Successive percentage change
   • Ratio and Proportion
     • Compound and continued ratio
     • Partnership and proportional division
   • Average
     • Weighted average
     • Average of consecutive series
   • Profit, Loss and Discount
     • Marked price and successive discount
     • Dishonest dealings and false weights
   • Simple and Compound Interest
     • SI vs CI difference for two and three years
     • Half-yearly and quarterly compounding
   • Mixtures and Alligation
     • Rule of alligation
     • Replacement of mixture
   • Time, Speed, Distance and Work
     • Trains, boats and streams
     • Time and work, pipes and cisterns
3. 3

   Algebra and Mensuration

   5 topics

   • Linear and Quadratic Equations
     • Roots and nature of roots
     • Quadratic equation comparison (X vs Y)
   • Algebraic Identities
     • Standard identities and factorisation
   • 2D Mensuration
     • Triangle, rectangle, circle areas
     • Perimeter and sector problems
   • 3D Mensuration
     • Cube, cuboid, cylinder volumes
     • Cone, sphere and hemisphere surface area
   • Permutation, Combination and Probability
     • Arrangements and selections
     • Basic probability of events
4. 4

   Data Interpretation

   6 topics

   • Tabular Data Interpretation
   • Bar Graph and Line Graph DI
   • Pie Chart Interpretation
   • Caselet and Paragraph DI
   • Missing and Mixed DI
     • Missing data calculation
     • Combination of two chart types
   • Data Sufficiency
     • Two-statement sufficiency
     • Quantity comparison format
5. 5

   Number Series

   3 topics

   • Missing Number Series
     • Arithmetic and geometric patterns
     • Mixed and combination patterns
   • Wrong Number Series
   • Find the Next Term

Quantitative Aptitude flashcards for SBI PO / Clerk

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

1. What is the divisibility rule for 8?

   A number is divisible by 8 if the number formed by its last three digits is divisible by 8.

2. What is the divisibility rule for 11?

   A number is divisible by 11 if the difference between the sum of digits at odd positions and the sum of digits at even positions is 0 or a multiple of 11.

3. How many prime numbers are there between 1 and 100?

   There are 25 prime numbers between 1 and 100.

4. In simplification, what is the BODMAS order of operations?

   Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction — performed left to right within the same precedence.

5. What is the unit digit of 7 raised to any power, based on its cyclicity?

   The unit digit of 7 follows a cycle of 4: 7, 9, 3, 1 (for powers 1, 2, 3, 4 respectively), then repeats.

6. What is the value of the square of 25?

   625.

7. What is the trick to square a number ending in 5, such as 35?

   Multiply the tens digit by the next integer (3 x 4 = 12) and append 25, giving 1225.

8. What is the cube of 12?

   1728.

9. What is the square root of 1369?

   37.

10. How do you simplify the surd expression a^(1/2) x a^(1/3)?

    Add the exponents: a^(1/2 + 1/3) = a^(5/6).

11. What does the law of indices state for a^m / a^n?

    a^m / a^n = a^(m-n).

12. What is the value of any non-zero number raised to the power 0?

    1.

13. How do you convert a fraction like 3/8 into a percentage?

    Multiply by 100: (3/8) x 100 = 37.5%.

14. If a number is increased by 20% then decreased by 20%, what is the net percentage change?

    A net decrease of 4% (because 1.20 x 0.80 = 0.96).

15. What percentage is equivalent to the fraction 1/16?

    6.25%.

16. If A:B = 2:3 and B:C = 4:5, what is A:B:C?

    A:B:C = 8:12:15.

17. In a proportion a:b = c:d, what is the product relationship?

    The product of means equals the product of extremes: b x c = a x d.

18. What is the formula for the average of the first n natural numbers?

    (n + 1) / 2.

19. If the average of 5 numbers is 20 and one number is removed making the new average 18, what was the removed number?

    28 (since 100 - 4x18 = 100 - 72 = 28).

20. What is the formula for Profit Percentage?

    Profit % = (Profit / Cost Price) x 100.

21. If a single discount equals two successive discounts of 10% and 20%, what is the equivalent single discount?

    28% (since 1 - 0.90 x 0.80 = 1 - 0.72 = 0.28).

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