SSC CGL Quantitative Aptitude Syllabus

The Quantitative Aptitude section in the SSC CGL (Staff Selection Commission – Combined Graduate Level) exam evaluates candidates’ mathematical skills, problem-solving abilities, and numerical aptitude. Here’s a detailed overview of the Quantitative Aptitude syllabus for SSC CGL:

SSC CGL Quantitative Aptitude Syllabus:

Arithmetic:

  1. Number System: Properties of integers, divisibility rules, HCF and LCM, remainder theorem.
  2. Percentage: Calculation of percentage, ratio and proportion, partnership, profit and loss, discounts, and simple and compound interest.
  3. Average: Problems based on averages, weighted averages, and mean, median, and mode concepts.
  4. Ratio & Proportion: Problems based on direct and inverse proportions, mixture and allegation.
  5. Time & Work: Problems related to work efficiency, wages, pipes and cisterns, and work and wages.
  6. Time, Speed & Distance: Problems based on relative speed, average speed, and trains, boats, and streams.
  7. Simple & Compound Interest: Problems related to simple and compound interest, annuities, and installment payments.
  8. Profit & Loss: Problems based on cost price, selling price, discounts, and partnerships.
  9. Mensuration: Problems on areas and volumes of basic geometric shapes like triangles, circles, rectangles, cubes, cones, cylinders, and spheres.
  10. Geometry: Basic concepts of lines, angles, triangles, polygons, circles, quadrilaterals, and their properties.
  11. Data Interpretation: Tabulation, pie chart, bar graph, line graph, and mixed graphs.

Algebra:

  1. Basic Algebra: Algebraic expressions, identities, factors and multiples, laws of exponents, and polynomials.
  2. Linear Equations: Solving linear equations in one and two variables.
  3. Quadratic Equations: Solving quadratic equations, nature of roots, and quadratic inequalities.
  4. Functions: Basic concepts of functions, composite functions, inverse functions, and graphical representation.
  5. Coordinate Geometry: Basics of coordinate geometry, distance formula, section formula, slope of a line, and equations of lines.

Trigonometry:

  1. Trigonometric Ratios: Sine, cosine, tangent, cotangent, secant, and cosecant.
  2. Trigonometric Identities: Basic trigonometric identities, trigonometric equations, and their applications.
  3. Heights and Distances: Problems related to angles of elevation and depression, and heights and distances.

Advanced Mathematics (Tier-II Exam):

  1. Geometry: Advanced concepts of triangles, circles, quadrilaterals, polygons, and coordinate geometry.
  2. Mensuration: Advanced problems on areas and volumes of 2D and 3D shapes.
  3. Trigonometry: Advanced trigonometric identities, trigonometric equations, and properties of triangles.
  4. Algebra: Advanced topics like quadratic equations, inequalities, progressions, and matrices.
  5. Statistics & Probability: Descriptive statistics, measures of central tendency, dispersion, probability concepts, and permutations and combinations.

Recommended Books for Quantitative Aptitude Preparation:

  1. “Quantitative Aptitude for Competitive Examinations” by R.S. Aggarwal: A comprehensive book covering all topics with numerous practice questions.
  2. “Fast Track Objective Arithmetic” by Rajesh Verma: Provides shortcuts and tricks for quick calculations.
  3. “Quantitative Aptitude for All Competitive Examinations” by Abhijit Guha: Offers detailed explanations and practice exercises.
  4. NCERT Mathematics Books: Class 6 to 10 NCERT mathematics textbooks for building a strong foundation.
  5. Previous Years’ Question Papers: Practice papers and mock tests for understanding the exam pattern and improving speed and accuracy.

Preparation Tips:

  1. Understand Concepts: Focus on understanding the underlying concepts and formulas.
  2. Practice Regularly: Solve a variety of problems from different topics to gain proficiency.
  3. Time Management: Practice time-based mock tests to improve speed and accuracy.
  4. Revise Regularly: Revise formulas and concepts regularly to retain information.
  5. Analyze Mistakes: Analyze mistakes and learn from them to avoid repetition.
  6. Mock Tests and Previous Papers: Practice mock tests and solve previous years’ question papers to familiarize yourself with the exam pattern and types of questions asked.

By following the syllabus and utilizing the recommended resources, candidates can effectively prepare for the Quantitative Aptitude section of the SSC CGL exam.

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