LIC AAO 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 LIC AAO, not a summary of it.

1. 1

   Number System and Simplification

   5 topics

   • Types of Numbers and Properties
     • Natural, whole, integers, rational and irrational numbers
     • Prime, composite and co-prime numbers
     • Even, odd and divisibility rules
   • BODMAS and Simplification
     • Order of operations
     • Surds and indices simplification
     • Fractions and decimal calculations
   • HCF and LCM
     • Factorization and division methods
     • HCF/LCM of fractions
     • Word problems on HCF and LCM
   • Approximation
     • Rounding off techniques
     • Estimating square and cube roots
   • Square Roots, Cube Roots and Powers
2. 2

   Arithmetic

   8 topics

   • Percentage
     • Percentage change and successive percentage
     • Application in expenditure and population
   • Ratio, Proportion and Partnership
     • Compound ratio and continued proportion
     • Profit sharing and partnership
   • Average
     • Average of numbers and series
     • Weighted average and change in average
   • Profit, Loss and Discount
     • Cost price, selling price and marked price
     • Successive discounts and dishonest dealings
   • Simple and Compound Interest
     • Difference between SI and CI
     • Half-yearly and quarterly compounding
     • Installments
   • Time, Speed and Distance
     • Relative speed
     • Trains, boats and streams
   • Time and Work
     • Work efficiency and combined work
     • Pipes and cisterns
   • Mixture and Alligation
3. 3

   Algebra and Mensuration

   5 topics

   • Linear and Quadratic Equations
     • Roots and nature of roots
     • Quadratic equation comparison (x and y)
   • Algebraic Identities and Factorization
   • 2D Mensuration
     • Triangle, rectangle, square and circle
     • Parallelogram, rhombus and trapezium
   • 3D Mensuration
     • Cube, cuboid and cylinder
     • Cone, sphere and hemisphere
   • Permutation, Combination and Probability
     • Arrangements and selections
     • Basic probability of events
4. 4

   Data Interpretation

   6 topics

   • Tabular Data Interpretation
   • Bar Graphs and Line Graphs
   • Pie Charts
   • Caselet and Paragraph DI
   • Missing and Mixed DI
     • Missing value DI
     • Combined chart types
   • Data Sufficiency
5. 5

   Number and Quantity Comparison

   3 topics

   • Number Series
     • Missing number series
     • Wrong number series
   • Quantity Comparison (Quantity I and II)
   • Approximation-based Series

Quantitative Aptitude flashcards for LIC AAO

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

1. What is a prime number, and which is the only even prime number?

   A prime number is a natural number greater than 1 with exactly two factors: 1 and itself. 2 is the only even prime number.

2. Classify numbers by parity: what defines an even number versus an odd number, and what type is zero?

   Even = divisible by 2 (form 2n); odd = not divisible by 2 (form 2n+1). Zero is an even number.

3. State the BODMAS/order-of-operations rule.

   Solve in order: Brackets, Orders (powers/roots), Division and Multiplication (left to right), then Addition and Subtraction (left to right).

4. What is the fundamental relationship between the HCF and LCM of two numbers a and b?

   HCF(a,b) x LCM(a,b) = a x b (the product of the two numbers).

5. How do you find the HCF and LCM of fractions?

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

6. In approximation problems, how is a value like 4.97 typically treated, and 5.02?

   Round to the nearest convenient whole number: 4.97 is taken as 5 and 5.02 is taken as 5; replace messy numbers with nearby round values before computing.

7. What are the laws of exponents for a^m x a^n and (a^m)^n?

   a^m x a^n = a^(m+n); (a^m)^n = a^(mn). Also a^m / a^n = a^(m-n) and a^0 = 1.

8. What do a^(-n) and a^(1/n) equal?

   a^(-n) = 1 / a^n; a^(1/n) = the n-th root of a (e.g., a^(1/2) = square root of a).

9. How do you convert a fraction or decimal to a percentage and vice versa?

   To percentage: multiply by 100. From percentage: divide by 100. E.g., 0.25 = 25%; 40% = 0.4 = 2/5.

10. If a value increases by x% then decreases by x%, what is the net change?

    A net decrease of (x^2/100)%. The original value is never fully restored.

11. What is the percentage-change formula?

    Percentage change = (Change / Original value) x 100, where Change = New value - Original value.

12. Define ratio and the means/extremes property of a proportion a:b = c:d.

    A ratio compares two quantities by division (a:b = a/b). In a proportion a:b = c:d, the product of means equals product of extremes: b x c = a x d (i.e., ad = bc).

13. In a partnership, how is profit shared when partners invest different amounts for different times?

    Profit is divided in the ratio of each partner's (capital x time). E.g., A invests Rs P1 for t1 months, B invests P2 for t2 months: share ratio = P1xt1 : P2xt2.

14. What is the formula for the average (arithmetic mean) of n quantities?

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

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

    (n + 1) / 2.

16. Define profit percent and loss percent, and on what value are they calculated?

    Profit% = (Profit / Cost Price) x 100; Loss% = (Loss / Cost Price) x 100. Both are always calculated on the Cost Price.

17. What is the relationship between Selling Price, Cost Price and profit/loss percentage?

    SP = CP x (100 + Profit%)/100 for profit, or SP = CP x (100 - Loss%)/100 for loss.

18. How is discount percent calculated, and on which value?

    Discount% = (Discount / Marked Price) x 100. Discount is always calculated on the Marked Price (list price), and SP = MP - Discount.

19. What is the formula for Simple Interest?

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

20. What is the Compound Interest amount formula for annual compounding?

    Amount A = P(1 + R/100)^T; Compound Interest = A - P.

21. For 2 years, by how much does Compound Interest exceed Simple Interest on the same P and R?

    Difference = P(R/100)^2, i.e., the interest on the first year's interest.

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