Overview: Aptitude Notes (28 Complete Chapters)
Government recruitment exams jaise SSC CGL, CHSL, CPO, RRB NTPC, Group D, Bank PO, Clerk, aur State PSCs me Quantitative Aptitude section sabse decisive role play karta hai. Aptitude Notes ke is comprehensive module me Arithmetic, Advance Mathematics, Modern Maths (Permutation, Combination & Probability), aur Data Interpretation ke sabhi 28 chapters ke formula handbooks aur solved practice sets available hain.
Key Aptitude Pillars Covered in this 28-Module Set
- Commercial Arithmetic: Percentage, Profit & Loss, Discount, Simple & Compound Interest, Ratio & Proportion, Partnership, Alligation & Mixtures, Average.
- Time, Work & Motion: Time and Work, Pipes & Tanks, Time Speed and Distance, Boats and Streams.
- Number Systems & Algebra: Number System, LCM & HCF, Simplification, Surds & Indices, Algebra, Quadratic & Cubic Equations, Sequence & Series.
- Advance & Modern Mathematics: Geometry, Coordinate Geometry, Trigonometry, Height and Distances, Mensuration, Permutations and Combinations, Probability, Statistics & Data Interpretation.
Sabhi subject-wise notes access karne ke liye hamare central Competitive Exam Notes Master Hub ko zaroor visit karein.
Aptitude Topics & Weightage Breakdown
| Mathematics Domain | Chapters Included | Exam Weightage (Approx.) |
|---|---|---|
| Core Arithmetic | Percentage, Profit & Loss, Discount, Simple & Compound Interest, Ratio, Partnership, Mixture & Alligation, Average | 35% – 40% |
| Work & Motion | Time & Work, Pipes & Tanks, Speed Distance & Time, Boats & Streams | 15% – 20% |
| Number System & Algebra | Number System, HCF-LCM, Simplification, Surds-Indices, Algebra, Quadratic Equations, Sequence & Series | 15% – 20% |
| Geometry & Trigonometry | Geometry, Coordinate Geometry, Mensuration 2D/3D, Trigonometry, Height & Distances | 20% – 25% |
| Modern Maths & DI | Permutation & Combination, Probability, Statistics & Data Interpretation | 10% – 15% |
High-Yield Practice Questions on Quantitative Aptitude
Apni speed aur accuracy test karne ke liye ye 5 selected conceptual questions solve karein:
Q1. A bag contains 4 red, 5 green, and 6 blue balls. If two balls are drawn at random, what is the probability that both are green?
Check Answer
Answer: 2 / 21.
Solution: Total balls = 15. Favourable outcomes = $^5C_2 = (5 \times 4) / 2 = 10$. Total outcomes = $^{15}C_2 = (15 \times 14) / 2 = 105$. Probability = $10 / 105 = 2 / 21$.
Q2. If $A : B = 3 : 4$, $B : C = 8 : 9$, and $C : D = 15 : 16$, what is the ratio of $A : D$?
Check Answer
Answer: 5 : 8.
Solution: $A/D = (A/B) \times (B/C) \times (C/D) = (3/4) \times (8/9) \times (15/16) = (2/3) \times (15/16) = 30 / 48 = 5 / 8$.
Q3. A man can row 9 km/h in still water. If the river runs at 3 km/h, it takes him 3 hours to row to a place and come back. How far is the place?
Check Answer
Answer: 12 km.
Solution: Downstream speed = $9 + 3 = 12$ km/h. Upstream speed = $9 – 3 = 6$ km/h. Distance $D$: $D/12 + D/6 = 3 \Rightarrow (D + 2D)/12 = 3 \Rightarrow 3D/12 = 3 \Rightarrow D = 12$ km.
Q4. What is the area of an equilateral triangle whose side is 8 cm?
Check Answer
Answer: $16\sqrt{3}\text{ cm}^2$.
Solution: Area = $(\sqrt{3}/4) \times a^2 = (\sqrt{3}/4) \times 8^2 = (\sqrt{3}/4) \times 64 = 16\sqrt{3}\text{ cm}^2$.
Q5. Find the sum of all terms of the Arithmetic Progression (AP): 5, 9, 13, …, up to 20 terms.
Check Answer
Answer: 860.
Solution: $a = 5$, $d = 4$, $n = 20$. Sum $S_n = (n/2)[2a + (n-1)d] = (20/2)[2(5) + 19(4)] = 10[10 + 76] = 10 \times 86 = 860$.
Download 28 Chapter-Wise Aptitude Notes PDF
Niche diye gaye chapter buttons me se kisi par bhi click karein. 20-second timer ke baad direct Google Drive download link unlock ho jayega:
📊 Statistics & Data Interpretation
Mean, Median, Mode, Standard Deviation, Pie Charts & Bar Graphs.
💵 Simple Interest
Direct formula applications, varying rates & installment problems.
📐 Height and Distances
Angles of elevation, depression & trigonometric applications.
📐 Geometry
Lines, angles, triangles, circles, chords & tangent properties.
🤝 Partnership
Capital investment ratios, active/sleeping partners & profit split.
📈 Compound Interest
Annual & half-yearly compounding, CI-SI differences & tree method.
💰 Profit and Loss
Cost Price, Selling Price, Marked Price & dishonest dealer methods.
📊 Percentage
Fraction conversion tables, price-consumption & population formulas.
🔗 LCM and HCF
Divisibility shortcuts, bell ringing problems & fraction LCM/HCF.
🧪 Alligation & Mixtures
Replacement of liquids, ratio blending & weighted average tricks.
🚗 Time Speed and Distance
Average speed, relative velocity, trains & race head-starts.
⚡ Surds & Indices
Laws of indices, rationalisation & infinite radical expressions.
🔢 Number System
Unit digit, trailing zeroes, remainder theorem & factors count.
🚰 Pipes & Tanks
Inlet/outlet flow, efficiency method & alternate tank filling.
🎲 Probability
Coins, cards, dice, conditional probability & independent events.
📐 Algebra
Algebraic identities, symmetrical expressions & substitution tricks.
🔢 Quadratic & Cubic Equations
Roots relation, discriminant rules, sign method for banking.
📈 Sequence and Series
Arithmetic (AP), Geometric (GP), Harmonic (HP) & special series.
🔢 Simplification
VBODMAS rules, decimals, continued fractions & approximations.
📐 Trigonometry
Identities, circular measure, maximum-minimum values & angles.
⚖️ Ratio and Proportion
Compound ratio, mean/third/fourth proportional & coin sums.
📦 Mensuration (2D & 3D)
Area, perimeter, surface area, volume & solid figure conversions.
🔀 Permutations & Combinations
Fundamental counting principle, circular arrangement & grouping.
🛶 Boats and Streams
Upstream, downstream, still water speeds & round-trip journey sums.
⚖️ Average (Mean)
Deviation method, bowling/batting averages & age replacement.
🏷️ Discount
Successive discounts, buy X get Y free, markup & net profit.
⏱️ Time and Work
Efficiency units, alternate working days & contractor wages.
📐 Coordinate Geometry (Master Module)
Distance formula, section formula, slope of lines, equation of lines & area of triangles in coordinate plane.
BRAHMASTRA Complete Maths Formula Book
By Aditya Ranjan Sir | Multicolored Formula Guide for Arithmetic & Advance Maths.
Calculation King by Gagan Pratap Sir
Mental math shortcuts, table tricks & speed calculation formulas for SSC & Bank exams.
Rakesh Yadav SSC Mathematics Solved Papers
Chapter-wise & Type-wise solved questions with detailed bilingual explanations.
Disha 33 Year-wise SSC Solved Question Bank
Combined Graduate & GD Level past year question bank with authentic keys.
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FAQs: Aptitude Notes (28 Topics)
Q1: How many chapters are covered in these Aptitude Notes?
Ans: This handbook covers all 28 core chapters of Quantitative Aptitude, spanning Arithmetic, Advance Mathematics, Modern Probability, and Data Interpretation.
Q2: Are these aptitude notes helpful for Banking exams (IBPS PO, SBI Clerk)?
Ans: Yes, topics like Data Interpretation, Quadratic Equations, Number Series, Simplification, and Probability are tailored specifically for banking and insurance exam patterns.
Q3: How do I download the Chapter-Wise Aptitude PDFs on SarkariExamPDF?
Ans: Click on your preferred chapter card above, wait 20 seconds for the countdown timer to finish, and click the unlocked download button to access the Google Drive file.
Q4: Are formula shortcuts included in these notes?
Ans: Yes, all 28 chapter modules include basic concept definitions, shortcut calculation tricks, and solved previous year questions.
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