Mathematics mock tests

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Quantitative Aptitude (Mathematics) – Complete Guide

Quantitative Aptitude is one of the highest-weightage sections in SSC CGL, CHSL, MTS, Railway NTPC, Group D, RRB JE, Delhi Police, and most state government exams. The section tests your speed, accuracy, and ability to apply arithmetic and algebraic concepts under time pressure. With the right strategy—learning formulas once, practising shortcuts, and drilling previous-year questions—most aspirants can consistently score 80–90% in this section.

Key Topics Covered

  • Number System & Simplification (BODMAS, LCM, HCF, surds, indices)
  • Percentage, Profit & Loss, Discount
  • Ratio & Proportion, Partnership
  • Time & Work, Pipes & Cisterns
  • Time, Speed & Distance, Trains, Boats & Streams
  • Simple Interest & Compound Interest
  • Averages, Mixtures & Alligation
  • Algebra (linear & quadratic equations, polynomials)
  • Geometry (triangles, circles, quadrilaterals, mensuration – 2D & 3D)
  • Trigonometry (ratios, identities, heights & distances)
  • Data Interpretation (tables, bar graphs, pie charts, line graphs)
  • Statistics (mean, median, mode, range)

Preparation Tips

  1. Memorise multiplication tables up to 25 and squares up to 30 – this alone saves 15–20 seconds per question.
  2. For SSC Tier-1, focus on arithmetic (chapters 1–9 above); for Tier-2 and Banking, add algebra, geometry, DI.
  3. Practise Percentage ↔ Fraction conversions (1/8 = 12.5%, 1/6 ≈ 16.67%) to eliminate calculation steps.
  4. Solve 30 previous-year questions on each topic before moving to the next. Pattern repetition is very high.
  5. In mock tests, attempt easy questions first; skip and return to geometry/trigonometry if they take > 90 seconds.
  6. Use the elimination method on MCQs: substitute answer choices into the equation to verify without full solving.

Frequently Asked Questions

How many questions come from Quantitative Aptitude in SSC CGL Tier-1?
SSC CGL Tier-1 has 25 questions from Quantitative Aptitude carrying 50 marks (2 marks each, −0.5 for wrong). Topics like arithmetic, algebra, and geometry each contribute 3–6 questions.
Which topics carry the most weight in Railway NTPC?
Number System, Simplification, Percentage, and Time & Work together account for about 40–50% of the maths section in RRB NTPC CBT-1. Speed-based topics (trains, boats) and SI/CI are also frequent.
How long does it take to prepare Quant from scratch?
With 2–3 hours of focused daily study, a beginner can cover the full syllabus in 60–75 days. The key is practising at least 50 questions daily after studying each concept.
Is a calculator allowed in competitive exams?
No. All government exams (SSC, Railways, Police, Banking) are paper-based or online without a calculator. Mental maths speed is essential. Regular practice with mock tests trains your brain to calculate quickly.