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IBPS RRB Quantitative Aptitude (Numerical Ability) Syllabus
The Quantitative Aptitude (Numerical Ability) syllabus for IBPS RRB in full: 4 chapters, 24 topics and 16 sub-topics, every one listed below, plus 50 Quantitative Aptitude (Numerical Ability) flashcards with answers.
Quantitative Aptitude (Numerical Ability) syllabus: all 4 chapters
Expand any chapter to see its topics and sub-topics.
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Number System and Simplification
5 topics- Simplification and Approximation
- BODMAS rule application
- Approximation of decimals and surds
- Square and cube value memorisation
- Number Series
- Missing number series
- Wrong term identification
- Patterns: arithmetic, geometric, square/cube based
- Surds, Indices and Powers
- HCF, LCM and Divisibility Rules
- Fractions, Decimals and Ordering
- Simplification and Approximation
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Arithmetic Word Problems
7 topics- Percentage and its Applications
- Profit, Loss and Discount
- Successive discounts
- Marked price and cost price relations
- Dishonest dealer problems
- Simple and Compound Interest
- Half-yearly and quarterly compounding
- Difference between SI and CI
- Ratio, Proportion and Partnership
- Average and Mixtures (Alligation)
- Time, Speed and Distance
- Relative speed
- Trains, boats and streams
- Time and Work, Pipes and Cisterns
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Data Interpretation
7 topics- Tabular Data Interpretation
- Bar Graphs (single and multiple)
- Line Graphs
- Pie Charts
- Caselet (Paragraph-based) DI
- Missing Data Interpretation
- Combined and Mixed Graphs
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Advanced Maths
5 topics- Quadratic Equations and Inequalities
- Comparison of two roots (x and y relationship)
- Permutation and Combination
- Probability
- Mensuration (2D and 3D)
- Area and perimeter of plane figures
- Volume and surface area of solids
- Data Sufficiency
- Quadratic Equations and Inequalities
IBPS RRB Quantitative Aptitude (Numerical Ability) flashcards — 50 questions with answers
In Simplification, what is the BODMAS/VBODMAS order of operations?
V-Vinculum (bar), B-Brackets ( {} [] ), O-Of, D-Division, M-Multiplication, A-Addition, S-Subtraction, performed left to right.
In Approximation problems, how do you typically treat a number like 4.97 or √626?
Round to the nearest convenient value: 4.97 to 5, and √626 to 25 (since 25 = 625), then compute.
What are the four common types of number series patterns?
Arithmetic (constant difference), Geometric (constant ratio), squares/cubes (n^2, n^3 patterns), and mixed/alternating (two interleaved series or combined operations).
In a number series, how do you identify the wrong term?
Find the consistent rule between consecutive terms; the term that breaks the established pattern (difference, ratio, or operation) is the wrong/odd one.
What is a surd, and give the rule for multiplying surds: √a × √b = ?
A surd is an irrational root that cannot be simplified to a rational number (e.g. √2). Rule: √a × √b = √(ab).
State the three core laws of indices for multiplication, division, and power of a power.
a^m × a^n = a^(m+n); a^m ÷ a^n = a^(m-n); (a^m)^n = a^(mn).
What is the value of a^0 and a^(-n)?
a^0 = 1 (for a ≠ 0); a^(-n) = 1/a^n.
How do you rationalize the denominator of 1/(√a + √b)?
Multiply numerator and denominator by the conjugate (√a − √b), giving (√a − √b)/(a − b).
What is the fundamental relationship: HCF × LCM = ?
For two numbers, HCF × LCM = 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.
State the divisibility rules for 3, 9, and 11.
Divisible by 3 if digit sum is divisible by 3; by 9 if digit sum is divisible by 9; by 11 if the difference between sum of odd-position and even-position digits is 0 or a multiple of 11.
State the divisibility rules for 4 and 8.
Divisible by 4 if the last two digits form a number divisible by 4; by 8 if the last three digits form a number divisible by 8.
How do you compare two fractions a/b and c/d without converting to decimals?
Cross-multiply: compare a×d with b×c. If a×d > b×c, then a/b > c/d (assuming positive denominators).
What is the formula to convert a fraction to a percentage and vice versa?
Fraction to percent: multiply by 100. Percent to fraction: divide by 100. E.g. 3/4 = 75%, and 40% = 40/100 = 2/5.
How do you express an increase from value A to value B as a percentage change?
Percentage change = ((B − A)/A) × 100. Positive means increase, negative means decrease.
If a quantity is increased by x% and then decreased by x%, what is the net percentage change?
Net change = −x²/100 % (a net decrease), regardless of order.
What is successive percentage change formula for two changes a% and b%?
Net % = a + b + (ab/100), using signs (+ for increase, − for decrease).
Define Profit% and Loss% in terms of cost price (CP).
Profit% = (Profit/CP) × 100; Loss% = (Loss/CP) × 100. Both are calculated on cost price.
What is the relationship between Selling Price (SP), Cost Price (CP) and Profit%?
SP = CP × (100 + Profit%)/100; for loss, SP = CP × (100 − Loss%)/100.
Define Marked Price and Discount; how is SP found from MP?
Marked Price (MP) is the listed price; Discount is a reduction on MP. SP = MP × (100 − Discount%)/100, with Discount% = (Discount/MP) × 100.
Show the other 30 Quantitative Aptitude (Numerical Ability) flashcards
What is the Simple Interest formula?
SI = (P × R × T)/100, where P = principal, R = rate per annum, T = time in years.
What is the Compound Interest amount formula for annual compounding?
A = P(1 + R/100)^T; CI = A − P, where A is the final amount.
How does the CI formula change for half-yearly and quarterly compounding?
Half-yearly: A = P(1 + R/200)^(2T). Quarterly: A = P(1 + R/400)^(4T).
What is the difference between CI and SI for 2 years on principal P at rate R%?
CI − SI (2 years) = P × (R/100)².
Define ratio and proportion; what does a:b :: c:d mean?
A ratio compares two quantities (a:b). A proportion states two ratios are equal: a:b :: c:d means a/b = c/d, so product of means = product of extremes (b×c = a×d).
In partnership, how is profit shared when capitals and time differ?
Profit is shared in the ratio of (Capital × Time) for each partner.
What is the formula for the average of n numbers?
Average = (Sum of all observations)/(Number of observations).
State the Alligation rule for mixing two ingredients.
(Quantity of cheaper)/(Quantity of dearer) = (CP of dearer − Mean price)/(Mean price − CP of cheaper).
What are the basic conversions for speed: 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.
State the fundamental relation between speed, distance, and time.
Speed = Distance/Time; Distance = Speed × Time; Time = Distance/Speed.
What is the average speed for equal distances covered at speeds x and y?
Average speed = 2xy/(x + y) (harmonic mean), not the arithmetic mean.
For two trains crossing each other, what relative speed is used in same vs opposite directions?
Opposite directions: add speeds (s1 + s2). Same direction: subtract speeds (s1 − s2). Total distance = sum of lengths.
If A does a work in 'a' days and B in 'b' days, how long together?
Together time = ab/(a + b) days; combined one-day work = 1/a + 1/b.
In Pipes and Cisterns, how are inlet and outlet pipes treated?
Inlet (filling) pipes add to the rate (+1/x); outlet (emptying) pipes subtract (−1/y). Net rate determines fill/empty time.
What is the first step when interpreting a tabular data set in DI?
Read the title, row and column headers, and units carefully to understand what each cell represents before computing totals, averages, or ratios.
In a multiple bar graph, what does each set of grouped bars represent?
Each group represents one category along the x-axis, and the bars within a group represent different sub-series/years compared on the same scale.
What does a line graph best illustrate in DI?
Trends and changes over time or across a continuous variable; the slope between points shows the rate of increase or decrease.
In a pie chart, how do you convert a sector's degree measure to its value?
Value = (Sector angle/360) × Total; or if percentages are given, Value = Percentage × Total. Each 1% equals 3.6 degrees.
What characterizes a Caselet (paragraph-based) DI?
Data is presented as text within a paragraph rather than a table/graph; the solver must extract figures and often set up equations or a table to answer.
What is the strategy for Missing Data Interpretation problems?
Use given totals, percentages, ratios, or relationships stated in the set to back-calculate the blank values before answering the questions.
What is a Combined/Mixed graph in DI?
A single chart presenting two or more data types together (e.g. bars with an overlaid line, or a table plus a pie chart) requiring data from both to answer.
What is the standard form of a quadratic equation and the formula for its roots?
ax² + bx + c = 0; roots x = [−b ± √(b² − 4ac)]/(2a).
For roots of ax² + bx + c = 0, what are the sum and product of roots?
Sum of roots = −b/a; Product of roots = c/a.
How does the discriminant D = b² − 4ac determine the nature of roots?
D > 0: two distinct real roots; D = 0: two equal real roots; D < 0: no real roots (complex/imaginary).
State the formulas 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 probability formula, and the range of probability values?
P(event) = (favorable outcomes)/(total outcomes). Probability ranges from 0 (impossible) to 1 (certain).
State the addition rule of probability for two events A and B.
P(A or B) = P(A) + P(B) − P(A and B). For mutually exclusive events, P(A and B) = 0.
Give the area and perimeter/circumference formulas for a rectangle and a circle.
Rectangle: Area = l×b, Perimeter = 2(l+b). Circle: Area = πr², Circumference = 2πr.
State the volume formulas for a cube, cylinder, and sphere.
Cube = a³; Cylinder = πr²h; Sphere = (4/3)πr³.
In Data Sufficiency, how do you evaluate the standard two-statement format?
Check if Statement I alone is sufficient, then if II alone is sufficient, then both together; answer with the minimal set that uniquely answers the question without actually solving fully.
IBPS RRB Quantitative Aptitude (Numerical Ability) FAQ
What is in the IBPS RRB Quantitative Aptitude (Numerical Ability) syllabus?
IBPS RRB Quantitative Aptitude (Numerical Ability) is split into 4 chapters: Number System and Simplification, Arithmetic Word Problems, Data Interpretation and Advanced Maths. Together they contain 24 topics and 16 sub-topics.
How many chapters are in IBPS RRB Quantitative Aptitude (Numerical Ability)?
4 chapters, containing 24 topics and 16 sub-topics. The largest chapter is Arithmetic Word Problems, with 7 topics.
Are there flashcards for IBPS RRB Quantitative Aptitude (Numerical Ability)?
Yes — a 50-card Quantitative Aptitude (Numerical Ability) 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.