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The XAT Quantitative Aptitude syllabus covers Number Systems, Profit, Loss, and Discount, LCM and HCF, Time and Work, Averages, Logarithm, Surds and Indices, Probability, Set Theory & Function, Trigonometry, Permutation & Combination, Co-ordinate Geometry, Mensuration, and so on. All of these XAT quant topics have formulas that can be used to efficiently answer the questions.
XAT Formulas PDF
XAT Exam Aspirants should use the XAT Formulas PDF, which provides all of the important formulas in one place, which simplifies your MBA exam preparation. It helps students to focus on understanding and applying formulas rather than memorising formulas constantly. This PDF covers important concepts in Quantitative Aptitude that are regularly asked on the XAT exam, ensuring that students are well-prepared for each area of the exam. An organised and clear XAT formula PDF helps you to revise properly and gain confidence as you approach XAT exam.
Important XAT Formulas for Quant Preparation
Here's a useful list of important formulas for XAT exam for quant preparation that might help you overcome the fear of this section of the XAT exam:
Arithmetic & Percentage
Formula | Description |
Profit% = (Profit / Cost Price) × 100 | Calculates profit percentage relative to cost price. |
Loss% = (Loss / Cost Price) × 100 | Computes the loss incurred on the cost price. |
Simple Interest = (P × R × T) / 100 | Interest based on principal, rate, and time. |
Compound Interest = P × (1 + R/100)^n | Computes compound interest compounded annually. |
Distance = Speed × Time | Key formula for time, speed, and distance problems. |
Average Speed = Total Distance / Total Time | Used when speeds vary over different legs of a journey. |
Algebra & Progressions
Formula | Description |
x = (-b ± √(b² - 4ac)) / 2a | Finds the roots of a quadratic equation. |
AM = (a + b) / 2 | Arithmetic Mean |
GM = √(ab) | Geometric Mean |
HM = (2ab) / (a + b) | Harmonic means. |
nth term of AP = a + (n - 1)d | Finds a term in an arithmetic progression. |
Sum of AP = (n / 2) × [2a + (n - 1)d] | Calculates the sum of an arithmetic progression. |
nth term of GP = a × r^(n - 1) | Finds a term in a geometric progression. |
Geometry & Mensuration
Formula | Description |
Area = ½ × base × height | Measures the area of a triangle. |
Area = π × r² | Circle Basic formula |
Circumference = 2π × r | Standard metrics for a circle. |
Volume = π × r² × h | Calculates cylinder volume. |
Volume = (4/3) × π × r³ | Calculates the total volume of a sphere. |
Pythagorean Theorem = a² + b² = c² | Used in right-angle triangles. |
Modern Math & Number Theory
Formula | Description |
nCr = n! / [r! × (n-r)!] | Formula for combinations. |
nPr = n! / (n-r)! | Formula for permutations. |
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) | Probability of the union of two events. |
Bayes’ Theorem | Used in conditional probability problems. |
Euler’s Theorem | Used in number theory and modular arithmetic. |
Topic-Wise XAT Formula Sheet for Quick Revision
The Topic-Wise XAT Formula Sheet for Quick Revision helps applicants to revise important formulas and shortcut techniques from Quantitative Aptitude, Data Interpretation, and Decision Making in an organised way. These formulas can help students prepare for the XAT exam, more accurately, and more effectively. Students can use this fast revision sheet before mock tests and the final exam to improve conceptual clarity.
Probability
- PE=n(E)/n(S), where n(E) = favorable outcomes, and n(S) = total outcomes.
Profit, Loss, and Discount
- Profit Percentage = (Profit/Cost Price) x 100
- Loss Percentage = (Loss/Cost Price) x 100
- Selling Price = Cost Price + Profit
- Selling Price = Cost Price - Loss
- Cost Price = Selling Price - Profit
- Cost Price = Selling Price + Loss
- Profit = Selling Price - Cost Price
- Loss = Cost Price - Selling Price
- Discount = Marked Price - Selling Price
- Discount Percentage = (Discount/Marked Price) x 100
- Marked Price = Selling Price/(1 - Discount Percentage/100)
- Marked Price = Cost Price/(1 - Profit Percentage/100)
LCM and HCF
- HCF × LCM = Product of the two numbers.
- LCM of co-prime numbers = Product of the numbers.
- HCF of co-prime numbers = 1.
- HCF of two numbers a and b = HCF of (a-b, b).
- LCM of two numbers a and b = (a x b) / HCF(a, b).
- HCF of three numbers a, b, and c = HCF of (HCF(a, b), c).
- LCM of three numbers a, b, and c = LCM of (LCM(a, b), c).
Time and Work
- Work Done = Time Taken × Rate of Work
- Rate of Work = 1 / Time Taken
- Time Taken = 1 / Rate of Work
- If a piece of work is done by A in n days, then A's 1 day's work = 1/n
- If A's 1 day's work = 1/n, then A can finish the work in n days
- If A can do a piece of work in x days and B can do the same work in y days, then the work done by both A and B in one day = 1/x + 1/y
- If A can do a piece of work in x days and B can do the same work in y days, then the time taken by both A and B to complete the work together = (xy) / (x + y)
Averages
- Average = (Sum of observations) / (Number of observations)
- If the average of n numbers is A, then the sum of the n numbers is nA.
- If the average of n numbers is A and m more numbers are added to the list, then the new average becomes (nA + mB) / (n + m), where B is the average of the m numbers.
- If the average of n numbers is A and each number is increased by x, then the new average becomes (nA + nx) / n.
- If the average of n numbers is A and each number is decreased by x, then the new average becomes (nA - nx) / n.
Logarithm
- Definition of a logarithm: If x>0 and b is a constant (b≠1), then y=logbx if and only if x=by.
- Logarithmic identities:
- logb(xy) = logbx + logby
- logb(x/y) = logbx - logby
- logb(x^p) = p logbx
- logb1 = 0
- logbb = 1
- logb(x) = 1 / logx(b)
- Change of base formula: logb(x) = loga(x) / loga(b)
- Common logarithm: log10(x) = log(x)
- Natural logarithm: loge(x) = ln(x)
Surds and Indices
- Product rule: a^m × a^n = a^(m+n)
- Quotient rule: a^m / a^n = a^(m-n)
- Power rule: (a^m)^n = a^(m×n)
- Negative exponent rule: a^(-m) = 1 / a^m
- Rational exponent rule: a^(m/n) = nth root of a^m
- Fractional exponent rule: a^(p/q) = qth root of a^p
- Surds multiplication rule: √a × √b = √(ab)
- Surds division rule: √a / √b = √(a/b)
- Surds addition rule: √a + √b ≠ √(a+b)
- Surds subtraction rule: √a - √b ≠ √(a-b)
Coordinate Geometry
- Distance Formula: The distance between two points P(x1, y1) and Q(x2, y2) is given by √[(x2 - x1)^2 + (y2 - y1)^2].
- Slope Formula: The slope of a line passing through two points P(x1, y1) and Q(x2, y2) is given by (y2 - y1) / (x2 - x1).
- Equation of a Line: The equation of a line passing through a point (x1, y1) with slope m is given by y - y1 = m(x - x1) or y = mx + (y1 - mx1).
- Midpoint Formula: The midpoint of a line segment joining two points P(x1, y1) and Q(x2, y2) is given by [(x1 + x2) / 2, (y1 + y2) / 2].
- Section Formula: If a point R(x, y) divides the line segment joining two points P(x1, y1) and Q(x2, y2) in the ratio m:n, then x = [(nx2) + (mx1)] / (m + n) and y = [(ny2) + (my1)] / (m + n).
- Slope of a Parallel Line: The slope of a line parallel to a line with slope m is also m.
- Slope of a Perpendicular Line: The slope of a line perpendicular to a line with slope m is -1/m.
Mensuration
- Area of a triangle = 1/2 × base × height
- Area of a rectangle = length × breadth
- Area of a square = side × side
- Area of a parallelogram = base × height
- Area of a trapezium = 1/2 × (sum of parallel sides) × height
- Circumference of a circle = 2πr
- Area of a circle = πr^2
- Volume of a cube = side^3
- Surface area of a cube = 6 × side^2
- Volume of a cuboid = length × breadth × height
- Surface area of a cuboid = 2(lb + bh + hl)
- Volume of a cylinder = πr^2h
- Surface area of a cylinder = 2πrh + 2πr^2
- Volume of a sphere = 4/3 × πr^3
- Surface area of a sphere = 4πr^2
Number Systems
- Sum of first n natural numbers = n(n+1)/2
- Sum of squares of first n natural numbers = n(n+1)(2n+1)/6
- Sum of cubes of first n natural numbers = [n(n+1)/2]^2
- Sum of first n odd numbers = n^2
- Dividend = (Divisor x Quotient) + Remainder
Sum of Series
- 1 + 2 + 3 + ... + n = n(n + 1)/2, and more.
How to Use XAT Formula Sheets Effectively During Preparation
The XAT formula sheet can be a valuable source during preparation of MBA exams if used correctly. Here are a few tips on how toUse XAT Formula Sheets Effectively During Preparation
Regular Practice: Use the formula sheet during xat mock tests to answer questions more effectively. Familiarise yourself with the formulas and their use.
Revision: In the final days before the exam, revise these formulas multiple times. This will keep things fresh in your mind.
Categorize: Divide the formulas into categories such as Arithmetic, Algebra, Geometry, and so on.
Practice in Time limit: Use the formula sheets to solve questions in a time limit. This will train you for actual exam conditions and increase your speed.
Highlight Key Formulas: Many formulas may be more important than others, depending on your strengths and weaknesses. Highlight these on your sheet for quick use.
Read Also, XAT Syllabus 2027, Section-wise Pattern, Download PDF
XAT Formulas PDF : Conclusion
The XAT Formulas PDF is one of the most useful resources for candidates preparing for the Quantitative Aptitude section. Since the XAT exam includes multiple mathematical concepts from arithmetic, algebra, geometry, probability, and modern math, having all important formulas in one place helps students revise efficiently and save valuable preparation time.
Using a topic-wise XAT Formula Sheet regularly can improve conceptual clarity, calculation speed, and problem-solving accuracy. Aspirants should revise formulas consistently alongside mock tests and sectional practice to maximise performance in the XAT exam. Strong formula preparation can significantly boost confidence and help candidates attempt difficult quant questions more effectively.
