Complete Guide to ratio and proportion ssc cgl previous questions 2026

Ratio and proportion SSC CGL previous questions form 8-12% of the Quantitative Aptitude section, covering 2 to 4 direct questions in Tier 1 and Tier 2 exams. Mastering past year questions (PYQs) reveals recurring concepts like mean proportional, income-expenditure splits, coin problems, and mixture proportions essential for scoring 50/50.\n\n---\n\nAt ExamBhai, we have analyzed over 100 shift-wise question papers of the Staff Selection Commission Combined Graduate Level (SSC CGL) examination from recent cycles to help you master every nuance of the Quantitative Aptitude section.\n\n## What is the Exam?\n\nThe Staff Selection Commission Combined Graduate Level (SSC CGL) examination is India's premier competitive recruitment test for Group 'B' and Group 'C' non-gazetted posts in various Ministries, Departments, and Organizations of the Government of India. Conducted annually, it tests candidates across multiple stages, evaluating their general intelligence, quantitative abilities, English language skills, and general awareness. Quantitative Aptitude is widely recognized as the primary differentiator in the final merit list, where core arithmetic topics—especially ratio and proportion—act as foundational blocks for advanced data interpretation, mixtures, and commercial math.\n\n## Key Highlights 2026\n\n| Feature | Details |\n|---|---|\n| Exam Name | SSC Combined Graduate Level (SSC CGL) 2026 |\n| Conducting Body | Staff Selection Commission (SSC) |\n| Exam Level | National Level |\n| Selection Stages | Tier 1 (CBR) and Tier 2 (CBR + Skill Test) |\n| Quantitative Aptitude Weightage | Tier 1: 25 Questions (50 Marks) | Tier 2: 30 Questions (90 Marks) |\n| Ratio & Proportion Share | 2-4 Questions per paper across Tier 1 & Tier 2 |\n| Negative Marking | Tier 1: 0.50 marks per wrong answer | Tier 2: 1.00 mark per wrong answer |\n| Official Portal | ssc.gov.in |\n\n## Syllabus 2026\n\nTo effectively solve ratio and proportion ssc cgl previous questions, candidates must understand how this fundamental arithmetic module connects with other core topics in the official syllabus.\n\n| Module | Core Topics Covered | Interlinked Ratio & Proportion Concepts |\n|---|---|---|\n| Basic Ratio & Proportion | Duplicate Ratio, Triplicate Ratio, Sub-duplicate Ratio, Mean Proportional, Third Proportional, Fourth Proportional | Direct application of formulas: (b^2 = ac) for mean proportional, component and dividendo rules |\n| Income & Expenditure | Income-to-Savings Ratios, Salary Increments, Tax Calculations | Linear equations using ratios: (\text{Income} = \text{Expenditure} + \text{Savings}) |\n| Coin & Denomination | Bag containing coins of different values, total amount calculation | Ratio of numbers of coins multiplied by ratio of coin values |\n| Ages & Distribution | Present ages, ages after (n) years, dividing amounts among A, B, C | Age difference remains constant over time; ratio balancing technique |\n| Mixtures & Alligation | Combining two liquids, repeated replacement of milk/water | Ratio of initial vs final quantity using (Q_{\text{final}} = Q_{\text{initial}}\bigl(1 - \frac{x}{y}\bigr)^n) |\n| Partnership & Profit Share | Capital investment, duration of investment, active vs sleeping partner | Profit Share Ratio (= \text{Capital}_1 \times \text{Time}_1 : \text{Capital}_2 \times \text{Time}_2) |\n\n## Exam Pattern\n\nThe SSC CGL examination is conducted in two primary computer-based stages (Tier 1 and Tier 2). Understanding where Quantitative Aptitude fits into this structure is vital for time allocation during preparation.\n\n### Tier 1 Exam Pattern\n\n| Section | Subject | Number of Questions | Maximum Marks | Duration |\n|---|---|---|---|---|\n| I | General Intelligence & Reasoning | 25 | 50 | Composite time of 60 minutes for all 4 sections |\n| II | General Awareness | 25 | 50 | |\n| III | Quantitative Aptitude | 25 | 50 | |\n| IV | English Comprehension | 25 | 50 | |\n| Total | | 100 | 200 | 60 Minutes |\n\n### Tier 2 Exam Pattern (Paper I)\n\n| Session | Module | Subject | Questions | Marks | Duration |\n|---|---|---|---|---|---|\n| Session 1 | Section I: Mod 1 | Mathematical Abilities | 30 | 90 | 1 Hour (Combined for Section I) |\n| | Section I: Mod 2 | Reasoning and General Intelligence | 30 | 90 | |\n| | Section II: Mod 1 | English Language and Comprehension | 45 | 135 | 1 Hour (Combined for Section II) |\n| | Section II: Mod 2 | General Awareness | 25 | 75 | |\n| | Section III: Mod 1 | Computer Knowledge Test | 20 | 60 | 15 Minutes |\n\nTo assess your real-time speed and accuracy across both stages, candidates should practice free mock tests for SSC on ExamBhai regularly.\n\n## Eligibility Criteria\n\nAs specified in official notifications on ssc.gov.in, candidates applying for SSC CGL must meet three core parameters: Nationality, Educational Qualification, and Age Limit.\n\n* Nationality: Must be a citizen of India, a subject of Nepal, a subject of Bhutan, or a Tibetan refugee who settled in India before January 1, 1962.\n* Educational Qualification: A Bachelor's degree from a recognized university or equivalent institution is required for most posts by the crucial date specified in the official notification.\n* Age Limit: Generally ranges between 18 to 30 years (varies up to 32 years for posts like Junior Statistical Officer). Age relaxations apply as per central government norms:\n * OBC: 3 years\n * SC/ST: 5 years\n * PwBD (Unreserved): 10 years\n * PwBD (OBC): 13 years\n * PwBD (SC/ST): 15 years\n\n## Application Process\n\nCandidates must register online via the official Staff Selection Commission portal by following these steps:\n\n1. One-Time Registration (OTR): Visit ssc.gov.in, click on 'Register Now', and enter basic personal details, phone number, and email address to generate an OTR ID and password.\n2. Upload Scanned Documents: Upload clear copies of recent photographs and signature according to the specifications outlined in the latest portal guidelines.\n3. Fill CGL Application Form: Log in with OTR credentials, select the SSC CGL examination, choose preferred exam cities, and fill in educational qualification details.\n4. Fee Payment: Pay the non-refundable application fee of ₹100 online via BHIM UPI, Net Banking, or debit/credit cards. Women candidates and candidates belonging to SC, ST, PwBD, and ESM categories are exempted from paying the application fee.\n5. Final Submission: Preview all entered details carefully, submit the form, and download the confirmation printout for future reference.\n\n## Preparation Strategy\n\nSolving ratio and proportion ssc cgl previous questions systematically requires a structured strategy designed by expert faculty.\n\n### Step 1: Master the Core Formulas and Proportion Rules\n\nBefore jumping into speed drills, internalize these core definitions:\n\n* Mean Proportional between (a) and (b): (x = \sqrt{a \times b})\n* Third Proportional to (a) and (b): (c = \frac{b^2}{a})\n* Fourth Proportional to (a), (b), and (c): (d = \frac{b \times c}{a})\n* Componendo and Dividendo Rule: If (\frac{a}{b} = \frac{c}{d}), then (\frac{a+b}{a-b} = \frac{c+d}{c-d})\n\n### Step 2: Categorize PYQs into Types\n\nAt ExamBhai, we recommend dividing previous years' questions into four primary archetypes:\n\n1. Proportion Calculation Type: Finding missing proportion values or subtracting a number (x) from four numbers to make them proportional.\n2. Income, Expenditure, and Savings Type: Ratio shifts when expenditures change or income increments occur.\n3. Coin Denomination Type: Conversion of coin ratios to total value using denomination weights.\n4. Mixture & Replacement Type: Proportion changes when replacement operations are performed repeatedly.\n\nTo gauge your preparation level against current competition, access subject-wise practice tests for SSC on ExamBhai and attempt topic tests focusing on ratio manipulation.\n\n### Step 3: Analyze Representative SSC CGL Previous Questions\n\nHere are three typical examples inspired by recent SSC CGL shift papers:\n\nExample 1 (Mean Proportional):\n\nQuestion: Find the mean proportional between (1.8) and (3.2).\n\nSolution: The mean proportional (x = \sqrt{1.8 \times 3.2} = \sqrt{\frac{18}{10} \times \frac{32}{10}} = \sqrt{\frac{576}{100}} = \frac{24}{10} = 2.4).\n\nExample 2 (Coin Denomination):\n\nQuestion: A bag contains coins of ₹1, 50 paise, and 25 paise in the ratio (5 : 6 : 8). If the total value is ₹240, find the number of 50-paise coins.\n\nSolution: Let the number of coins be (5x), (6x), and (8x). \nValue of ₹1 coins (= 5x \times 1 = 5x) rupees. \nValue of 50p coins (= 6x \times 0.50 = 3x) rupees. \nValue of 25p coins (= 8x \times 0.25 = 2x) rupees. \nTotal value (= 5x + 3x + 2x = 10x = 240 \implies x = 24). \nNumber of 50-paise coins (= 6x = 6 \times 24 = 144).\n\nExample 3 (Numbers in Proportion):\n\nQuestion: What number must be subtracted from each of 21, 22, 60, and 64 so that the remainders are in proportion?\n\nSolution: Let (x) be subtracted. \n(\frac{21-x}{22-x} = \frac{60-x}{64-x}) \nUsing cross-multiplication or short trick: \n(x = \frac{ad - bc}{(a+d) - (b+c)} = \frac{21 \times 64 - 22 \times 60}{(21 + 64) - (22 + 60)} = \frac{1344 - 1320}{85 - 82} = \frac{24}{3} = 8).\n\n### Step 4: Time Management & Speed Building\n\nAim to solve basic ratio questions in under 35 seconds. For complex mixture or income problems, do not write full algebraic equations; use unit-balancing techniques. Always take full-length SSC CGL speed tests on ExamBhai to refine your exam-day temperament.\n\n## Cut-Off Trends\n\nReviewing historical cut-off scores published on ssc.gov.in helps candidates establish target benchmarks for Tier 1 qualification.\n\n| Exam Cycle | Category | Tier 1 Cut-Off Marks (Out of 200) | Overall Cut-Off Trend Analysis |\n|---|---|---|---|\n| SSC CGL 2024-25 | UR / OBC / EWS / SC / ST | 153.50 / 148.25 / 143.00 / 126.50 / 118.00 | Higher normalization scores due to high attempts in Quantitative Aptitude |\n| SSC CGL 2023 | UR / OBC / EWS / SC / ST | 150.04 / 145.93 / 143.55 / 126.68 / 118.16 | Shift towards conceptual speed-based arithmetic questions |\n| SSC CGL 2022 | UR / OBC / EWS / SC / ST | 114.27 / 114.27 / 102.35 / 89.08 / 77.57 | Qualifying Tier 1 cycle with large vacancy count |\n| SSC CGL 2021 | UR / OBC / EWS / SC / ST | 130.18 / 117.87 / 109.64 / 94.58 / 81.52 | Standard difficulty level with traditional proportion questions |\n\n## Frequently Asked Questions\n\n### Q1: How many ratio and proportion ssc cgl previous questions appear in Tier 1?\nA: Typically, 2 to 3 questions are directly asked from ratio and proportion in Tier 1. However, since the concept is used in Data Interpretation, Profit & Loss, and Ages, its indirect presence covers up to 6-7 questions.\n\n### Q2: Is solving previous 5 years' ratio questions enough for SSC CGL 2026?\nA: Solving PYQs from 2020 to 2025 provides complete coverage of all model types. At ExamBhai, we recommend practicing at least 150-200 shift-wise previous questions to build speed and accuracy.\n\n### Q3: What is the short trick to find the mean proportional of two decimal numbers?\nA: Convert decimal numbers into fractions over powers of 10, multiply the numerators under the square root, and simplify. For instance, for (a) and (b), compute (\sqrt{a \times b}) directly after removing decimal points.\n\n### Q4: Are ratio and proportion questions in Tier 2 significantly harder than in Tier 1?\nA: In Tier 2, questions combine multiple concepts—such as ratio mixed with compound interest or advanced mixtures. While the underlying formulas remain identical, Tier 2 questions require 2 to 3 steps of calculation.\n\n### Q5: How do I handle negative marking in SSC CGL Quantitative Aptitude?\nA: In Tier 1, each incorrect answer costs 0.50 marks, while in Tier 2, the penalty is 1.00 mark. Avoid guessing options in calculation-intensive ratio problems; use estimation techniques to eliminate options before answering.\n\n### Q6: Can I solve coin-based ratio problems without forming algebraic equations?\nA: Yes. Multiply the given coin ratio by the individual coin values to get a value-ratio unit. Divide the total given money by the sum of these value units to find the value of 1 unit, then multiply back to find the coin count.