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LIC AAO Quantitative Aptitude Syllabus
The Quantitative Aptitude syllabus for LIC AAO in full: 5 chapters, 27 topics and 38 sub-topics, every one listed below, plus 50 Quantitative Aptitude flashcards with answers.
Quantitative Aptitude syllabus: all 5 chapters
Expand any chapter to see its topics and sub-topics.
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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
- Types of Numbers and Properties
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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
- Percentage
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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
- Linear and Quadratic Equations
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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
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Number and Quantity Comparison
3 topics- Number Series
- Missing number series
- Wrong number series
- Quantity Comparison (Quantity I and II)
- Approximation-based Series
- Number Series
LIC AAO Quantitative Aptitude flashcards — 50 questions with answers
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.
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.
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).
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).
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.
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.
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.
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).
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.
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.
What is the percentage-change formula?
Percentage change = (Change / Original value) x 100, where Change = New value - Original value.
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).
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.
What is the formula for the average (arithmetic mean) of n quantities?
Average = (Sum of all observations) / (Number of observations).
What is the average of the first n natural numbers?
(n + 1) / 2.
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.
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.
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.
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.
What is the Compound Interest amount formula for annual compounding?
Amount A = P(1 + R/100)^T; Compound Interest = A - P.
Show the other 30 Quantitative Aptitude flashcards
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.
State the basic speed-distance-time relationship and the unit conversion from km/h to m/s.
Distance = Speed x Time. To convert km/h to m/s, multiply by 5/18; to convert m/s to km/h, multiply by 18/5.
What is the formula for average speed when equal distances are covered at speeds x and y?
Average speed = 2xy / (x + y) (the harmonic mean of the two speeds).
In relative speed, how do speeds combine for two objects moving in the same vs opposite directions?
Same direction: relative speed = difference of speeds. Opposite directions: relative speed = sum of speeds.
In Time and Work, if A completes a job in n days, what fraction does A do in one day?
A does 1/n of the work per day. If A and B take a and b days alone, together they do (1/a + 1/b) per day and finish in ab/(a+b) days.
State the alligation rule for mixing two ingredients.
(Quantity of cheaper)/(Quantity of dearer) = (Dearer price - Mean price)/(Mean price - Cheaper price). The mean lies between the two prices.
When a quadratic ax^2 + bx + c = 0, what is the quadratic formula for its roots?
x = [-b +/- sqrt(b^2 - 4ac)] / (2a).
For ax^2 + bx + c = 0, what are the sum and product of the roots?
Sum of roots = -b/a; Product of roots = c/a.
What does the discriminant D = b^2 - 4ac tell you about a quadratic's roots?
D > 0: two distinct real roots; D = 0: two equal (repeated) real roots; D < 0: no real roots (complex conjugate roots).
State the identity for (a + b)^2 and (a - b)^2.
(a + b)^2 = a^2 + 2ab + b^2; (a - b)^2 = a^2 - 2ab + b^2.
State the identity for a^2 - b^2 and a^3 + b^3.
a^2 - b^2 = (a + b)(a - b); a^3 + b^3 = (a + b)(a^2 - ab + b^2).
What is the expansion of (a + b + c)^2?
a^2 + b^2 + c^2 + 2ab + 2bc + 2ca.
What are the area and perimeter formulas for a rectangle and the area of a triangle?
Rectangle: Area = length x breadth, Perimeter = 2(l + b). Triangle: Area = (1/2) x base x height.
What are the circumference and area of a circle of radius r?
Circumference = 2(pi)r; Area = (pi)r^2.
What is the area of a trapezium and the area of an equilateral triangle of side a?
Trapezium area = (1/2)(sum of parallel sides) x height. Equilateral triangle area = (sqrt 3 / 4) a^2.
What are the volume and total surface area of a cube of side a?
Volume = a^3; Total Surface Area = 6a^2.
What are the volume and curved surface area of a cylinder (radius r, height h)?
Volume = (pi)r^2h; Curved Surface Area = 2(pi)rh; Total Surface Area = 2(pi)r(h + r).
What are the volume and surface area of a sphere of radius r?
Volume = (4/3)(pi)r^3; Surface Area = 4(pi)r^2.
What is the volume of a cone (radius r, height h) and its slant height?
Volume = (1/3)(pi)r^2h; slant height l = sqrt(r^2 + h^2); Curved Surface Area = (pi)r l.
State the formula for permutations nPr and combinations nCr.
nPr = n! / (n-r)! (order matters); nCr = n! / [r!(n-r)!] (order does not matter).
What is the basic definition of probability of an event?
Probability = (Number of favorable outcomes) / (Total number of possible outcomes); it lies between 0 and 1.
For mutually exclusive events A and B, what is P(A or B), and what is P(not A)?
P(A or B) = P(A) + P(B) for mutually exclusive events. P(not A) = 1 - P(A).
In Tabular Data Interpretation, what is the first step before answering questions?
Read the table title, row/column headings, and units carefully to understand what each cell represents, then identify exactly which cells the question requires before calculating.
What is the key difference between a bar graph and a line graph in DI?
A bar graph compares discrete categories using bar heights/lengths; a line graph shows trends or change over a continuous variable (usually time) by connecting data points.
In a pie chart, how do you convert a sector's degrees or percentage into an actual value?
Each sector = (its percentage of total) x total value, or (sector degrees / 360) x total value. The whole circle (360 degrees = 100%) represents the total.
What characterizes a Caselet (paragraph) DI question?
Data is given as a descriptive paragraph rather than a chart/table; you must extract the numbers, often build your own table or equations, and then solve.
How do you approach a Missing DI set where some table values are blank?
Use the given totals, ratios, and relationships among rows/columns to set up equations and compute the missing values before answering the questions.
What does a Data Sufficiency question ask, and what are the typical answer options?
It asks whether the given statements are sufficient to answer the question, not the actual answer. Options: (a) statement I alone sufficient, (b) II alone sufficient, (c) either alone, (d) both together needed, (e) both together insufficient.
How do you find the rule in a number series, and what defines an arithmetic vs geometric series?
Look for a pattern in differences, ratios, squares/cubes, or alternating operations. Arithmetic: constant common difference (add/subtract); Geometric: constant common ratio (multiply/divide).
In Quantity Comparison (Quantity I vs Quantity II), what are the standard answer relationships you must determine?
Compute both quantities and choose: Quantity I > Quantity II; Quantity I < Quantity II; Quantity I = Quantity II (or relation cannot be established). The goal is the relation, not exact values.
LIC AAO Quantitative Aptitude FAQ
What is in the LIC AAO Quantitative Aptitude syllabus?
LIC AAO Quantitative Aptitude is split into 5 chapters: Number System and Simplification, Arithmetic, Algebra and Mensuration, Data Interpretation and Number and Quantity Comparison. Together they contain 27 topics and 38 sub-topics.
How many chapters are in LIC AAO Quantitative Aptitude?
5 chapters, containing 27 topics and 38 sub-topics. The largest chapter is Arithmetic, with 8 topics.
Are there flashcards for LIC AAO Quantitative Aptitude?
Yes — a 50-card Quantitative Aptitude deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.