CDS 1 2027 Exam Date: 11 April 2027 – Eligibility, Seats and How to Prepare
UPSC has fixed CDS 1 2027 for 11 April 2027, with the notification on 2 December 2026. Official dates, seats, expected age limits, exam pattern and a 22-week plan.
In our previous blog we discuss strategies and tips to prepare for NDA GAT exam and here we will discuss best practices to succeed in NDA Mathematics exam.
Before preparing for NDA Mathematics Exam, it’s important to understand exam pattern and syllabus.
Quick Overview of NDA Mathematics exam | |
Total Questions | 120 |
Total Marks | 300 |
Exam Mode | Offline |
Topics covered | Algebra, Matrices, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, and Statistics and Probability. |
Exam duration | 2 ½ hour |
Exam format | MCQs |
Correct Answer | 2.5 mark |
Negative Mark
| -(0.83) mark
|
The NDA Mathematics exam, tests your fundamental mathematical concepts covered in 10th, 11th, and 12th NCERT. Topics covered are, Algebra, Matrices, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, and Statistics and Probability.
NDA Mathematics Syllabus | |
Topic | Sub Topic
|
Algebra | 1.Sets (Concepts & Operations) 2.Venn diagram 3.De Morgan’s Law 4.Cartesian Product 5.Relation 6.Equivalence Relation 7.Real Numbers 8.Complex Numbers 9.Modulus 10.Cube Root 11.Conversion of a number (Binary to Decimal & Decimal to Binary) 12.Arithmetic 13.Geometric and Harmonic Progressions 14.Quadratic Equations 15.Linear Inequations 16.Permutation and Combination 17.Binomial Theorem 18.Logarithms |
Calculus | 1.Concept of a real valued function 2.Domain 3.Range and Graph of a function 4.Composite functions 5.One to One 6.Onto and Inverse Functions 7.Notion of limit 8.Standard limits 9.Continuity of functions 10.Algebric Operations on Continuous functions 11.Derivative of function at a point 12.Geometrical and Physical Interpretation of a derivative application 13.Derivatives of sum 14.Product and Quotient of functions 15.Derivative of a function with respect to another function 16.Derivative of a Composite Function 17.Second Order Derivatives 18.Increasing and Decreasing Function 19.Application of Derivatives in problems of Maxima and Minima |
Matrices and Determinants | 1.Types of matrices 2.Operations on matrices 3.Determinant of a matrix 4.Basic Properties of Determinants 5.Adjoint and Inverse of a Square Matrix 6.Applications-Solution of a system of Linear Equations in two or three unknown by – • Cramer’s Rule • Matrix Method |
Integral Calculus and Differential Equations | 1.Integration as inverse of differentiation 2.Integration by substitution and by parts 3.Standard Integrals involving algebraic Expressions 4.Trigonometric 5.Exponential and Hyperbolic Functions 6.Evaluation of definite Integrals – Determination of areas of plane regions bounded by curves-applications 7.Definition of order and degree of a differential equation by examples. 8.General and particular solution of differential equations 9.Solution of first order and first-degree differential equations of various types by examples 10.Application in problems of growth and decay |
Trigonometry | 1.Angles and their measures in degrees and in radius 2.Trigonometric Ratio 3.Trigonometric Identities 4.Sum and Difference Formulae 5.Multiple and Sub-Multiple Angles 6.Inverse Trigonometric Functions 7.Applications – Height and Distance 8.Properties of Triangles |
Vector Algebra
| 1.Vectors in two and three dimensions 2.Magnitude and Direction of a vector 3.Unit and Null Vectors 4.The Addition of Vectors 5.Scalar Multiplication of a Vector 6.Scalar Product 7.Dot Product of two vectors 8.Vector product or Cross product of two vectors 9.Applications- Work done by Force and Moment of Force in Geometrical Problems. |
Analytical Geometry of Two or Three Dimension
| 1.Rectangular Cartesian Coordinate System 2.Distance Formula 3.Equation of a line in various forms 4.The angle between two lines 5.Distance of a point from a line 6.Equation of a circle in standard and in a general form 7.Standard forms of Parabola, Ellipse and Hyperbola 8.Eccentricity and Axis of a conic 9.Point in a three-dimensional space 10.The distance between two points 11.Direction, Cosines and Direction Ratio 12. Equation two points 13.Direction Cosines and direction ratios 14. Equation of a plane and a line in various forms 15.Angle between two lines and angle between two planes 16.Equation of a sphere |
Statistics and Probability
| 1.Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events 2.Union and Intersection of events. Complementary, elementary, and composite events 3.Definition of probability—classical and statistical—examples 4.Elementary theorems on probability-simple problems 5. Conditional probability, Bayes’ theorem— simple problems 6. Random variable as function on a sample space 7.Binomial Distribution 8. Examples of random experiments giving rise to Binomial distribution |
Practice: More you practice, better you become.
Time Management: Solving 120 questions in 2.5 hours can be tough, to tackle this situation try to solve mock test papers and in a time limit of 2.5 hours. This will help you to understand your pace and develop effective time management skills to avoid any last-minute rush.
Understanding Over Memorization: While formulas are important, but simply memorizing them is not enough. Focus on understanding concepts and how formulas are derived. By focusing on understanding concepts, you develop strong logical and reasoning skills. Understanding Mathematical principles helps you to choose the most suitable method to solve a problem, saving your valuable time during the exam.
When you truly understand a concept, you retain it for longer and can apply it to various situations, but simply memorizing a topic you might not be able to recall it when it needed, leaving you vulnerable if you encounter the concept in a slightly different form.
Creating a study plan based on your strengths and weaknesses helps you creates a clear roadmap for your NDA exam preparation.
Here are some valuable resources to help in your NDA Mathematics exam preparation:
In this blog post, we’ve discussed that regular practice, time management skill, importance of understanding concepts and creating a study plan based on your strengths and weakness can help you to prepare for NDA mathematics exam. Remember, early preparation and consistency important to succeed.
If you need more help for your NDA exam preparation we Cadets defence academy provides you the best NDA coaching in Dehradun, with our guidance and support you can achieve your goals.
For any inquiries or assistance regarding NDA coaching in Dehradun, feel free to reach out to us. Here’s how you can get in touch:
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Visit us at our campus located in Dehradun.
Phone Numbers:
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Feel free to reach out to us through any of the channels mentioned above. We’re here to assist you on your journey towards achieving your NDA coaching goals in Dehradun.
UPSC has fixed CDS 1 2027 for 11 April 2027, with the notification on 2 December 2026. Official dates, seats, expected age limits, exam pattern and a 22-week plan.
UPSC has fixed the NDA 1 2027 exam for 11 April 2027, with the notification on 2 December 2026. Official dates, expected eligibility, exam pattern and a 22-week plan.
How to Pass the OIR Test (Officer Intelligence Rating) with High Grades Table of Contents What Is the OIR Test in SSB? The OIR test is a reasoning test conducted on Day 1 of SSB screening to assess your logical thinking, speed, and problem-solving skills. OIR stands for Officer Intelligence Rating. The test includes basic school-level questions on verbal and non-verbal reasoning, such as number series, analogies, coding-decoding, and patterns. To score high grades, practise regularly, improve accuracy, and manage time effectively. Aim to solve each question within 25–30 seconds to perform well in the test. The test usually has two booklets: Part Questions (approx.) Time (approx.) What it tests Verbal reasoning 40–50 17–30 minutes Words, numbers, logic Non-verbal reasoning 40–50 17–30 minutes Shapes, figures, patterns The exact count and time change from batch to batch, so always follow the testing officer’s instructions. The OIR is part of the SSB stage that follows the written exams such as NDA, CDS and AFCAT, so it matters for every defence aspirant. OIR Rating Scale: What Each Grade Means A higher OIR grade means a higher chance of staying in the SSB after Day 1 screening, and OIR-1 is the best rating. The board looks at your rating together with your PPDT performance, mostly when your result is borderline. The score bands below are commonly shared by SSB mentors. Treat them as a rough guide, because the official cut-offs are not published. Rating Level Approx. score Effect on screening OIR-1 Outstanding 90% and above Strong support if PPDT is average OIR-2 Excellent 80–89% Safe zone OIR-3 Good 70–79% PPDT must be strong OIR-4 Average 60–69% Higher risk of screen-out OIR-5 Low Below 60% Very difficult to continue So, aim for OIR-1 or OIR-2. A strong rating also supports your Officer Like Qualities (OLQ) profile during the rest of the SSB. OIR Test Syllabus: Verbal and Non-Verbal Reasoning The OIR syllabus has two parts: verbal reasoning (words, numbers, logic) and non-verbal reasoning (pictures and shapes). Both parts come from Class 10 level reasoning, so regular practice is enough to master them. Verbal Reasoning Topics Verbal reasoning questions test your ability to read short statements and reach the right answer fast. Practise these topics: Number and alphabet series: find the missing term in a pattern. Learn squares up to 20 and cubes up to 10. Coding-decoding: if a word is coded by shifting letters, decode a new word. Write A–Z with numbers on your rough sheet first. Blood relations: draw a small family tree instead of solving in your head. Direction sense: sketch the path with arrows and find the final direction or distance. Dictionary order and ranking: arrange words or people in order and pick the correct position. Analogies and odd one out: spot the link between words quickly. Non-Verbal Reasoning Topics Non-verbal reasoning questions test how well you can see patterns and spatial changes in figures. Focus on these: Figure series: track rotation, shading and movement of shapes. Dice and cubes: use the common-face rule to find the opposite face. Mirror and water images: check which side the mirror is placed on. Embedded figures: find a small shape hidden in a bigger drawing. Paper folding and cutting: unfold the paper step by step in your mind. Do not skip non-verbal practice. Many candidates are weaker here, so a little extra time can lift your overall rating. Time Management: The 3-Sweep Method 30-Day OIR Practice Plan A 30-day plan of daily timed practice is enough to improve speed and accuracy for most aspirants. Follow this simple schedule: Days 1–10 (Learn): revise formulas, tricks and shortcuts for each topic. Solve 20 questions daily without a timer. Days 11–20 (Speed): solve 40 mixed questions in 20 minutes. Note your mistakes in a small diary. Days 21–30 (Test): attempt one full verbal and one full non-verbal mock daily under exam rules. Review wrong answers the same day. Use a standard reasoning book and previous SSB-style practice sets. Practise on paper, not on a phone, because the real test uses a printed booklet and an OMR sheet. Also read the official updates on Join Indian Army so you know the selection process well. Common Mistakes to Avoid The most common OIR mistakes are spending too long on one question, leaving bubbles blank and ignoring non-verbal practice. Avoid these errors: Getting stuck on a favourite topic and wasting minutes. Marking answers in the wrong OMR row. Practising without a timer. Learning tricks but never taking full mock tests. Reaching the centre tired because of late-night study. Sleep well before Day 1. A calm mind solves reasoning questions faster. How Cadets Defence Academy Can Help Cadets Defence Academy in Dehradun helps aspirants prepare for the OIR test through regular practice, mock tests and guidance from experienced mentors. Our students get Day 1 training along with the full SSB process, including PPDT, psychology tests and GTO tasks. Explore our SSB coaching in Dehradun to practise under real board conditions. If you are preparing for the written exam first, see our NDA coaching, NDA Foundation course or CDS coaching. You can also pick up our defence exam books, and register online for the upcoming batch. Final Words Scoring a high OIR rating becomes easier with smart practice. Learn the verbal and non-verbal topics, use the 3-sweep method, attempt every question, and take timed mocks daily. A strong OIR rating gives you a safer start on Day 1 of the SSB. Start early, stay consistent, and take expert guidance from Cadets Defence Academy, Dehradun, to move closer to your officer dream. Frequently Asked Questions What is a good score in the OIR test? A score of about 80% or more, which usually gives OIR-1 or OIR-2, is considered good. Official cut-offs are not published, so aim as high as you can. Is there negative marking in the OIR test? No, the OIR test has no negative marking. Attempt every question, and guess the remaining ones in the last minute. How many