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NMAT Algebra and Probability Formulas PDF
NMAT Algebra and Probability Formula PDF is part of the NMAT exam's Quantitative Skills section. Algebra and Probability covers a good number of questions in the Quantitative Skills section of the NMAT exam, and with the correct technique, students can score well in this area.
Students aiming for an excellent overall score must have a good understanding of NMAT algebra and probability formulas and related concepts. These formulas must be revised on a daily basis to perform well in the NMAT exam. This PDF can be used effectively for quick revision, mock test practice, and as a last-minute preparation for the NMAT exam.
Importance of NMAT Algebra and Probability Formulas
Algebra and Probability are important topics in the NMAT Quantitative Skills section. A formula PDF has its own importance because it is a useful source for planning a strategy. Candidates having access to this PDF will automatically have a clear edge over others.
Helps students solve algebra and probability questions fast with accuracy during the NMAT exam.
Reduces calculation time by giving straightforward solutions to difficult questions.
It enables aspirants to confidently answer questions on equations, inequalities, sequences, permutations, and probability.
The use of these formulas can reduce mistakes.
Improves the conceptual clarity of algebraic identities, series patterns, and probability rules when aspirants try to solve formulas through derivations.
Finally, it would improve overall Quantitative Skills performance and sectional score.
Read Also, NMAT Formulas PDF, Download NMAT Quant Important Formulas
Complete NMAT Algebra and Probability Formula List
NMAT Algebra and Probability formulas at one single spot make preparation smooth and revision easy for aspirants. The list below contains topics and their formulas for the Algebra and Probability part.
Equations
Quadratic Formula
- x = (−b ± √(b² − 4ac)) / 2a
Nature of Roots via the Discriminant
- D = b² − 4ac
- D > 0 → two distinct real roots
- D = 0 → one repeated real root
- D < 0 → two complex (non-real) roots; exam often says "no real solution"
Sum and Product of Roots
For ax² + bx + c = 0 with roots r₁, r₂:
- Sum of roots = −b/a
- Product of roots = c/a
Cross-Multiplication for 2 Linear Equations
- For the pair a₁x + b₁y = c₁ and a₂x + b₂y = c₂:
- x = (b₁c₂ − b₂c₁) / (a₁b₂ − a₂b₁), y = (c₁a₂ − c₂a₁) / (a₁b₂ − a₂b₁)
Key Algebraic Identities (Factorizations)
- (a + b)² = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- (a + b)(a − b) = a² − b²
- a³ ± b³ = (a ± b)(a² ∓ ab + b²)
Inequalities
Solving a Linear Inequality
- ax + b (sign) c
- When you multiply or divide both sides by a negative number, the inequality sign flips.
Basic Modulus Split
- |x| = x, if x ≥ 0 |x| = −x, if x < 0
AM ≥ GM (Two Numbers)
- (a + b)/2 ≥ √(ab)
- where a and b are non-negative real numbers.
Sequences and Series (AP/GP)
n-th Term of an AP
- Termₙ = a + (n − 1)d
- where a = first term, d = common difference, n = position of the term.
Sum of First n Terms of an AP
- Sumₙ = (n/2) × [2a + (n − 1)d]
Sum of First n Squares
- 1² + 2² + … + n² = n(n + 1)(2n + 1) / 6
n-th Term of a GP
- Termₙ = a × r^(n−1)
- where a = first term, r = common ratio.
Sum of First n Terms of a GP (r ≠ 1)
- Sumₙ = a × (rⁿ − 1) / (r − 1)
Sum to Infinity of a GP
- Sum∞ = a / (1 − r), where |r| < 1
Arithmetic, Geometric, and Harmonic Means
- For two positive numbers A and B:
- AM = (A + B) / 2
- GM = √(AB)
- HM = 2AB / (A + B)
- Always: AM ≥ GM ≥ HM (equal only when A = B)
Permutations and Combinations
Factorial Definition
- n! = n × (n − 1) × (n − 2) × … × 1
- By convention, 0! = 1.
Permutations (Arrangements)
- ⁿPᵣ = n! / (n − r)!
Combinations (Selections)
- ⁿCᵣ = n! / (r! × (n − r)!)
Symmetry Property
- ⁿCᵣ = ⁿCₙ₋ᵣ
Circular Permutations
- Arrangements around a circle = (n − 1)!
Permutations with Repeated Letters
- Number of arrangements = n! / (p! × q! × …)
- where n = total letters, p, q, … are the counts of each repeated letter.
Probability
Basic Probability
- P(E) = Favourable outcomes / Total equally likely outcomes
- 0 ≤ P ≤ 1
Complementary Event
- P(not E) = 1 − P(E)
Addition Rule for Two Events
- P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
Independent Events
- P(A ∩ B) = P(A) × P(B)
Conditional Probability
- P(A | B) = P(A ∩ B) / P(B)
Bayes' Theorem (Two Events)
- P(B | A) = P(A | B) × P(B) / P(A)
NMAT Algebra and Probability Question Distribution Over the Years
Algebra and Probability together contribute a significant number of questions in the NMAT Quantitative Skills section every year. Equations, inequalities, sequences, permutations and combinations, and probability are frequently asked topics in the exam and are important areas to prepare. The table below summarizes the approximate distribution of Algebra and Probability questions asked in NMAT over the years, helping aspirants focus on the most important topics.
NMAT Exam Year | Algebra Questions | Probability & P&C; Questions | Total Questions |
NMAT 2024 | 4-5 | 3-4 | 7-9 |
NMAT 2023 | 4-5 | 3-4 | 7-9 |
NMAT 2022 | 3-5 | 2-4 | 6-8 |
Tips to Master Important Algebra and Probability Formulas for NMAT
After downloading the NMAT Formula PDFs, aspirants can follow these fundamental things to score good marks in the NMAT Algebra and Probability part and improve performance in mock tests and in the NMAT exam.
- Clarity of Concept: Instead of just memorising formulas, start by understanding the basic concepts behind the derivation.
- Understand Formula Derivations: Instead of just memorizing formulas, understand how they are derived. This helps in revising them fast and using them correctly in different questions.
- Prepare a Formula List: By using the PDF, make a personal NMAT formula list with the formulas you struggle with the most.
- Analyse Mistakes After Practice: Analyse incorrect answers of mock tests to find weak areas and formulas that are used incorrectly, and avoid making the same mistakes.
Read Also, NMAT Number Properties Formulas PDF, Preparation Tips & Tricks
Download Cracku's Free NMAT Algebra and Probability Formulas PDF
Cracku's Free NMAT Algebra and Probability Formulas PDF is a complete source that covers major formulas in equations, inequalities, sequences and series, permutations and combinations, and probability. Download it to accelerate your preparation and increase your accuracy in the NMAT exam. This formula PDF will help revise the complete topics in much lesser time, so that candidates can also focus on other topics and sections of the NMAT exam.
Read Also, NMAT Syllabus 2026 PDF, Section Wise Important Topics
NMAT Algebra and Probability Formulas PDF: Conclusion
The NMAT Algebra and Probability Formulas PDF is an essential resource for aspirants looking to strengthen their Quantitative Skills preparation. It provides all the important formulas related to equations, inequalities, sequences and series, permutations and combinations, and probability in a single place, making revision faster and more effective.
Regular practice and consistent revision of these formulas can significantly improve speed, accuracy, and confidence during the exam. By using this NMAT Algebra and Probability Formula PDF alongside mock tests and sectional practice, candidates can maximize their performance and achieve a higher NMAT score.
