SSC CGL
Quantitative Aptitude
Complete SSC CGL quantitative aptitude coverage: number systems, arithmetic, algebra, geometry, mensuration, trigonometry, statistics, and data interpretation, taught with exam-speed methods and error analysis.
Switch subject: 4. Quantitative Aptitude
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Number System
Number sets, place value, primes, factors, divisibility, remainders, unit digits and factor counting, with English and Hindi explanations.
- Natural Numbers, Integers, Rational and Irrational Numbers3 minFree
- Place Value, Face Value and Number Comparison3 minFree
- Prime, Composite and Co-prime Numbers3 minFree
- Factors and Multiples3 minFree
- Divisibility Tests and Missing Digits3 minFree
- Remainders in Elementary Number Problems3 minFree
- Unit Digits and Cyclic Patterns3 minFree
- Counting Factors of a Number3 minFree
Arithmetic Operations
Signed integer operations, BODMAS, mixed expressions, estimation and checking numerical answers.
Squares and Square Roots
Perfect squares, factorisation, square-root division and justified estimates. पूर्ण वर्ग, गुणनखंडन, वर्गमूल की भाग विधि और जाँचे हुए अनुमान।
Decimals
Decimal place value, ordering, arithmetic, and terminating and recurring expansions.
Fractions
Equivalent fractions, mixed numbers, comparison, arithmetic and decimal conversion.
Ratio and Proportion
Ratios, proportions, direct and inverse variation, sharing quantities, and changing ratios with worked examples.
Percentages
Percentage conversion, reference quantities, increase and decrease, successive changes, reverse percentages and applications.
- Meaning of percentage and fraction–decimal–percentage conversion3 minFree
- Finding a percentage of a quantity3 minFree
- Expressing one quantity as a percentage of another3 minFree
- Percentage increase and decrease3 minFree
- Successive percentage changes3 minFree
- Finding the original quantity from a percentage change3 minFree
- Population, income, expenditure and price applications3 minFree
Averages
Arithmetic means, total and count, combined and weighted averages, and changes after adding, removing or replacing values.
Commercial Arithmetic
Cost and selling price, profit and loss percentages, marked price and markup, successive discounts, and combined commercial calculations.
Simple Interest
Simple interest: principal, annual rate, time, amount, unknown quantities and comparing arrangements. साधारण ब्याज: मूलधन, वार्षिक दर, समय, मिश्रधन और योजनाओं की तुलना।
Compound Interest
Successive accumulation, compounding intervals, simple versus compound interest, growth and depreciation. क्रमिक संचय, चक्रवृद्धि अंतराल, साधारण और चक्रवृद्धि ब्याज की तुलना, वृद्धि और मूल्यह्रास।
Partnership
Capital-time profit sharing and changes in investment or participation. पूँजी-समय के आधार पर लाभ का बँटवारा और निवेश या साझेदारी में बदलाव।
Mixtures
Concentration, weighted averages, alligation, replacement and repeated dilution. सांद्रता, भारित औसत, मिश्रण का नियम, प्रतिस्थापन और बार-बार तनुकरण।
Work and Time
Work rates, combined and changing teams, alternate-day work, efficiency and wages. कार्य-दर, संयुक्त और बदलती टीमें, एकांतर दिनों का कार्य, दक्षता और मजदूरी।
Speed, Distance and Time
Speed and units, average and relative speed, trains, boats, races and circular tracks. चाल और इकाइयाँ, औसत और सापेक्ष चाल, रेलगाड़ियाँ, नावें, दौड़ और वृत्ताकार पथ।
Algebra
Expressions, identities, factorisation, equations, surds and graphs. व्यंजक, सर्वसमिकाएँ, गुणनखंडन, समीकरण, करणी और आलेख।
Geometry
Lines, angles, triangles, quadrilaterals, polygons, circles and tangents. रेखाएँ, कोण, त्रिभुज, चतुर्भुज, बहुभुज, वृत्त और स्पर्शरेखाएँ।
- Lines, angles and parallel-line relationships3 minFree
- Triangle angle and side properties3 minFree
- Medians, altitudes, angle bisectors and triangle centres3 minFree
- Congruence and similarity of triangles3 minFree
- Pythagoras theorem and elementary applications3 minFree
- Properties of quadrilaterals3 minFree
- Interior and exterior angles of polygons3 minFree
- Circle chords and angle properties3 minFree
- Tangents and common tangents to circles3 minFree
Measurement
Length, area and volume conversions, measurement accuracy and dimensional checks. लंबाई, क्षेत्रफल और आयतन की इकाइयाँ, मापन की सटीकता और विमीय जाँच।
Plane Mensuration
Perimeter and area of rectangles, triangles, quadrilaterals, circles, composite figures and paths. आयतों, त्रिभुजों, चतुर्भुजों, वृत्तों, संयुक्त आकृतियों और रास्तों की परिमिति और क्षेत्रफल।
Solid Mensuration
Surface areas and volumes of cubes, cuboids, cylinders, cones, spheres, prisms, pyramids and composite solids. घन, घनाभ, बेलन, शंकु, गोले, प्रिज्म, पिरामिड और संयुक्त ठोसों का पृष्ठीय क्षेत्रफल और आयतन।
- Surface area and volume of cubes and cuboids4 minFree
- Surface area and volume of cylinders4 minFree
- Surface area and volume of right circular cones3 minFree
- Surface area and volume of spheres and hemispheres3 minFree
- Right prisms and right pyramids with triangular or square bases4 minFree
- Composite solids and volume-preserving conversions4 minFree
Trigonometry
Right-triangle ratios, standard angles, identities, radians, heights and distances. समकोण त्रिभुज के अनुपात, मानक कोण, सर्वसमिकाएँ, रेडियन, ऊँचाइयाँ और दूरियाँ।