IBPS PO 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 PO, not a summary of it.

1. 1

   Number System

   3 topics

   • Types of Numbers
   • Divisibility Rules
   • LCM and HCF
2. 2

   Simplification

   2 topics

   • BODMAS Rule
   • Approximation
3. 3

   Data Interpretation

   4 topics

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

   Algebra

   2 topics

   • Quadratic Equations
   • Linear Equations
5. 5

   Arithmetic

   7 topics

   • Percentage
   • Profit and Loss
   • Simple and Compound Interest
   • Ratio and Proportion
   • Time and Work
   • Time, Speed and Distance
   • Average

Quantitative Aptitude flashcards for IBPS PO

21 of 49 cards from the Quantitative Aptitude deck — real questions with worked answers.

1. What are natural numbers, and which is the smallest?

   Counting numbers starting from 1: {1, 2, 3, 4, ...}. The smallest natural number is 1.

2. What is the difference between rational and irrational numbers?

   A rational number can be written as p/q (q≠0) with terminating or repeating decimals (e.g., 1/2, 0.333). An irrational number cannot be expressed as p/q and has non-terminating, non-repeating decimals (e.g., √2, π).

3. Define prime numbers and co-prime numbers.

   A prime number has exactly two factors: 1 and itself (e.g., 2, 3, 5, 7). Co-prime (relatively prime) numbers are two numbers whose HCF is 1 (e.g., 8 and 15).

4. What is the only even prime number, and how many primes are there below 20?

   2 is the only even prime number. There are 8 primes below 20: 2, 3, 5, 7, 11, 13, 17, 19.

5. State the divisibility rules for 2, 5, and 10.

   Divisible by 2 if the last digit is even (0,2,4,6,8); by 5 if the last digit is 0 or 5; by 10 if the last digit is 0.

6. State the divisibility rules for 3 and 9.

   A number is divisible by 3 if the sum of its digits is divisible by 3, and divisible by 9 if the sum of its digits is divisible by 9.

7. State the divisibility rules for 4 and 8.

   Divisible by 4 if the last two digits form a number divisible by 4; divisible by 8 if the last three digits form a number divisible by 8.

8. State the divisibility rule for 11.

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

9. What is the relationship between LCM, HCF, and two numbers?

   For two numbers, LCM × HCF = Product of the two numbers (a × b).

10. How do you find HCF and LCM using prime factorization?

    HCF = product of the lowest powers of all common prime factors. LCM = product of the highest powers of all prime factors appearing in any number.

11. What is the formula for the HCF and LCM of fractions?

    HCF of fractions = HCF of numerators / LCM of denominators. LCM of fractions = LCM of numerators / HCF of denominators.

12. What does BODMAS stand for and what order of operations does it specify?

    Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. Operations are performed in this priority order, with division and multiplication done left to right, then addition and subtraction left to right.

13. In BODMAS, what is the order of solving brackets when multiple types are present?

    Solve innermost first: bar/vinculum (─), then round (), then curly {}, then square [].

14. In approximation problems, how is the symbol '≈' or '?' typically treated, and how do you handle √ values?

    You round numbers to the nearest convenient value to estimate the answer. Approximate square roots to nearest perfect squares (e.g., √80 ≈ 9 since 9²=81), then compute.

15. What is the standard form of a quadratic equation and the formula for its roots?

    Standard form: ax² + bx + c = 0 (a≠0). Roots: x = [−b ± √(b²−4ac)] / 2a.

16. What does the discriminant (D = b²−4ac) tell you about the roots of a quadratic equation?

    If D>0: two distinct real roots; if D=0: two equal real roots; if D<0: no real roots (complex/imaginary roots).

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

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

18. What is the condition for a unique solution in a pair of linear equations a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0?

    A unique solution exists when a₁/a₂ ≠ b₁/b₂ (lines intersect at one point).

19. For two linear equations, what conditions give infinitely many solutions versus no solution?

    Infinitely many solutions (coincident lines): a₁/a₂ = b₁/b₂ = c₁/c₂. No solution (parallel lines): a₁/a₂ = b₁/b₂ ≠ c₁/c₂.

20. How do you convert a fraction to a percentage and a percentage to a fraction?

    Fraction to percent: multiply by 100. Percent to fraction: divide by 100. E.g., 3/4 = 75%; 40% = 40/100 = 2/5.

21. If a value increases from A to B, what is the percentage increase formula?

    Percentage increase = [(B − A) / A] × 100.

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