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IBPS PO Quantitative Aptitude Syllabus
The Quantitative Aptitude syllabus for IBPS PO in full: 5 chapters and 18 topics, every one listed below, plus 49 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
3 topics- Types of Numbers
- Divisibility Rules
- LCM and HCF
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Simplification
2 topics- BODMAS Rule
- Approximation
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Data Interpretation
4 topics- Tables
- Bar Graphs
- Line Graphs
- Pie Charts
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Algebra
2 topics- Quadratic Equations
- Linear Equations
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Arithmetic
7 topics- Percentage
- Profit and Loss
- Simple and Compound Interest
- Ratio and Proportion
- Time and Work
- Time, Speed and Distance
- Average
IBPS PO Quantitative Aptitude flashcards — 49 questions with answers
What are natural numbers, and which is the smallest?
Counting numbers starting from 1: {1, 2, 3, 4, ...}. The smallest natural number is 1.
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).
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).
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.
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.
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.
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.
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.
What is the relationship between LCM, HCF, and two numbers?
For two numbers, LCM × HCF = Product of the two numbers (a × b).
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.
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.
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.
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 [].
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.
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.
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).
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.
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).
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.
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.
Show the other 29 Quantitative Aptitude flashcards
If a value increases from A to B, what is the percentage increase formula?
Percentage increase = [(B − A) / A] × 100.
If a number is increased by x% and then decreased by x%, what is the net change?
There is a net decrease of (x²/100)%. The original value is never fully restored.
What are the formulas for Profit, Loss, Profit% and Loss%?
Profit = SP − CP; Loss = CP − SP. Profit% = (Profit/CP)×100; Loss% = (Loss/CP)×100. (Always calculated on cost price.)
How do you find SP given CP and profit/loss percentage?
SP = CP × (100 + Profit%)/100, or SP = CP × (100 − Loss%)/100.
What is the formula for discount and how does Marked Price relate to Selling Price?
Discount = Marked Price (MP) − Selling Price (SP). Discount% = (Discount/MP)×100. So SP = MP × (100 − Discount%)/100.
What is the Simple Interest formula?
SI = (P × R × T) / 100, where P = principal, R = rate per annum, T = time in years. Amount = P + SI.
What is the Compound Interest formula (compounded annually)?
Amount A = P(1 + R/100)^T, and CI = A − P.
For compounding more than once a year, how is the CI amount formula adjusted?
A = P(1 + R/(n×100))^(n×T), where n = number of times interest is compounded per year (e.g., n=2 for half-yearly, n=4 for quarterly).
What is the difference between CI and SI for 2 years on principal P at rate R%?
CI − SI (for 2 years) = P × (R/100)².
What is a ratio and what is a proportion?
A ratio compares two quantities of the same kind by division (a:b = a/b). A proportion states two ratios are equal (a:b = c:d), where a and d are extremes, b and c are means.
In a proportion a:b = c:d, what key product relationship holds?
Product of extremes = product of means, i.e., a × d = b × c (cross multiplication).
What is the mean proportional between two numbers a and b?
The mean proportional = √(a × b).
If A can do a work in 'a' days and B in 'b' days, how long do they take working together?
Together they take ab/(a+b) days, since their combined one-day work = 1/a + 1/b.
In time and work, what is the relationship between efficiency and time taken?
Efficiency is inversely proportional to time. If A is twice as efficient as B, A takes half the time B takes; ratio of efficiencies = inverse ratio of times.
What is the basic relationship between speed, distance, and time?
Speed = Distance / Time; Distance = Speed × Time; Time = Distance / Speed.
How do you convert km/hr to m/s and m/s to km/hr?
km/hr to m/s: multiply by 5/18. m/s to km/hr: multiply by 18/5.
What is relative speed for two objects moving in the same direction versus opposite directions?
Same direction: relative speed = difference of speeds (s₁ − s₂). Opposite directions: relative speed = sum of speeds (s₁ + s₂).
What is the average speed when equal distances are covered at speeds x and y?
Average speed = 2xy/(x+y) (the harmonic mean), not the simple average of the two speeds.
What is the formula for average (arithmetic mean)?
Average = (Sum of all observations) / (Number of observations).
What happens to the average if a constant k is added to each observation in a set?
The new average also increases by k (the average shifts by the same constant).
What is the average of the first n natural numbers?
Average = (n + 1) / 2.
What is the average of first n consecutive even numbers and first n consecutive odd numbers?
Average of first n even numbers = (n + 1). Average of first n odd numbers = n.
What does a multiplication table represent in arithmetic, and why is memorizing tables useful in aptitude?
A table lists the multiples of a number (e.g., table of 7: 7,14,21,...). Memorizing tables up to 20–30 speeds up calculations in approximation, ratio, and data interpretation questions.
What is a bar graph and what is it best used for?
A bar graph uses rectangular bars of equal width whose lengths/heights are proportional to the values they represent. It is best for comparing discrete categories of data.
What is a line graph primarily used to represent?
A line graph displays data points connected by straight lines, best used to show trends or changes in a quantity over time (continuous data).
What does a pie chart represent and how many degrees correspond to the whole?
A pie chart shows data as sectors of a circle, each proportional to its share of the total. The whole circle = 360°, so each category's angle = (value/total) × 360°.
In a pie chart, how do you convert a percentage share into the central angle of its sector?
Central angle = (percentage / 100) × 360°. Equivalently, 1% corresponds to 3.6°.
In data interpretation, what is the formula to find the percentage one quantity is of the total?
Percentage = (Part / Total) × 100. Used heavily in pie charts, bar graphs, and tables to compute shares.
What is the difference between an expression and an equation, and between linear and quadratic equations by degree?
An expression has no equality sign; an equation states two expressions are equal. A linear equation has highest degree 1 (one variable: ax+b=0); a quadratic equation has highest degree 2 (ax²+bx+c=0).
IBPS PO Quantitative Aptitude FAQ
What is in the IBPS PO Quantitative Aptitude syllabus?
IBPS PO Quantitative Aptitude is split into 5 chapters: Number System, Simplification, Data Interpretation, Algebra and Arithmetic. Together they contain 18 topics.
How many chapters are in IBPS PO Quantitative Aptitude?
5 chapters, containing 18 topics. The largest chapter is Arithmetic, with 7 topics.
Are there flashcards for IBPS PO Quantitative Aptitude?
Yes — a 49-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.