SSC CGL

SSC CGL Ratio and Proportion Questions with Free PDF, Quiz & Practice Set

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SSC CGL Ratio and Proportion questions are among the most important topics in Quantitative Aptitude because they form the foundation of several arithmetic chapters, including Percentage, Profit and Loss, Partnership, Mixture and Alligation, Average, and Time and Work. Based on recent SSC CGL trends, candidates can expect around 1тАУ3 questions from Ratio and Proportion in Tier 1 examinations. The good thing is that most questions are easy to moderate and can be solved quickly if the concepts are clear. In this blog, we have provided important tricks, a free quiz, a downloadable PDF, and preparation tips to help you master Ratio and Proportion for SSC CGL 2026.

SSC CGL Ratio and Proportion Important Tricks

Candidates should understand the important shortcuts and tricks before solving SSC CGL Ratio and Proportion Questions. Most questions in the exam are based on direct concepts and can be solved quickly using ratio properties.

TrickExplanation / Example
Convert Ratios into FractionsRatio a:b can be written as a/b. Example: 3:5 = 3/5
Multiply Ratios by Same Number2:3 = 4:6 = 6:9. Ratios remain unchanged when multiplied by the same number.
Simplify Ratios FirstAlways reduce ratios to the lowest form before calculations.
Use LCM MethodHelpful when combining multiple ratios.
Cross MultiplicationIf a:b = c:d, then ad = bc.
Direct ProportionIf one quantity increases, the other also increases.
Inverse ProportionIf one quantity increases, the other decreases.
Convert Percentages into Ratios25% = 1:4, 50% = 1:2, 75% = 3:4.
Common Ratio TechniqueUseful in age, mixture, and partnership questions.
Unitary MethodHelps find actual values from given ratios.

Quick Revision Formula

ConceptFormula
Ratioa:b = a/b
Proportiona:b::c:d
Proportion Propertyad = bc
Mean ProportionalтИЪab
Third Proportionalb┬▓/a

Candidates who memorize these formulas can solve most SSC CGL Ratio and Proportion Questions quickly.

Test Your SSC CGL Ratio and Proportion Preparation, Attempt Free Quiz

Ratio and Proportion is a practice-oriented topic. Simply reading formulas is not enough because SSC often asks application-based questions involving ages, partnership, percentages, profit and loss, and mixtures.

Attempt this free SSC CGL Ratio and Proportion Quiz to evaluate your preparation level, improve calculation speed, identify weak areas, and practice exam-level questions based on the latest SSC CGL pattern.

Quantitative Aptitude (Ratio & Proportion) Score: 0.00

Q1. The ratio of two numbers is 7:9. If 20 is added to both the numbers, the ratio becomes 4:5. Find the smaller number.

Q2. The ratio of milk and water in a mixture is 5:3. If 16 litres of water is added, the ratio becomes 5:7. Find the initial quantity of milk.

Q3. The present ages of A and B are in the ratio 4:5. After 8 years, their ages will be in the ratio 5:6. Find the present age of B.

Q4. The ratio of the number of boys and girls in a class is 7:5. If 12 boys leave the class, the ratio becomes 5:5. Find the original number of girls.

Q5. A sum of money is divided among A, B and C in the ratio 3:5:7. If C gets тВ╣800 more than A, find BтАЩs share.

Q6. The ratio of the incomes of A and B is 8:7 and their expenditures are in the ratio 5:4. If each saves тВ╣3000 per month, find the income of B.

Q7. In a bag, coins of тВ╣1, тВ╣2 and тВ╣5 are in the ratio 6:4:3. If the total value of all coins is тВ╣228, find the number of тВ╣5 coins.

Q8. The ratio of present ages of P and Q is 11:14. Six years ago, the ratio of their ages was 4:5. Find the present age of Q.

Q9. If x is added to each of 12, 18, 27 and 39, the numbers so obtained are in proportion. Find the value of x.

Q10. The ratio of the number of employees in Department A and Department B is 9:11. If 20 employees are transferred from B to A, the ratio becomes 11:9. Find the original number of employees in Department B.

Quiz Summary

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Final Score: 0.00

SSC CGL Ratio and Proportion Questions PDF Free Download

Previous year questions and topic-wise practice sets are among the best resources for mastering Ratio and Proportion. Since SSC follows recurring arithmetic concepts, solving a large number of questions helps candidates improve both speed and accuracy.

The PDF provided below contains SSC CGL Ratio and Proportion Questions along with answers and detailed solutions. Candidates should first attempt the questions independently and then review the solutions to identify mistakes and improve their approach.

Benefits of Solving SSC CGL Ratio and Proportion Questions PDF

BenefitHow It Helps
Strengthens ConceptsImproves understanding of ratios and proportions
Improves SpeedHelps solve arithmetic questions faster
Enhances AccuracyReduces calculation mistakes
Covers Exam-Level QuestionsFamiliarizes candidates with SSC patterns
Supports RevisionUseful during final preparation

How to Prepare SSC CGL Ratio and Proportion Questions Easily?

Ratio and Proportion is one of the easiest scoring topics in SSC CGL Quantitative Aptitude. However, many candidates make mistakes because they memorize formulas without understanding their applications.

A structured preparation strategy can help candidates maximize their score from this topic.

Understand the Basic Concept First

Before solving questions, candidates should clearly understand the difference between Ratio and Proportion for SSC CGL exam.

Ratio compares two quantities of the same unit.

Example:

8:12 = 2:3

Proportion shows that two ratios are equal.

Example:

2:3::4:6

Understanding these fundamentals makes advanced questions easier.

Learn Ratio Applications

SSC rarely asks direct definition-based questions. Instead, Ratio and Proportion concepts are applied in multiple arithmetic chapters.

Candidates should practice questions related to:

  • Ages
  • Partnership
  • Mixture and Alligation
  • Profit and Loss
  • Percentage
  • Average
  • Time and Work

This helps build conceptual clarity.

Memorize Important Percentage-Ratio Conversions

Quick percentage conversions can save valuable time during SSC CGL exam.

PercentageRatio
20%1:5
25%1:4
33.33%1:3
50%1:2
66.67%2:3
75%3:4
80%4:5

Candidates should revise these conversions regularly.

Solve Previous Year Questions

SSC CGL Previous year questions provide insight into:

  • Frequently asked concepts
  • Difficulty level
  • Shortcut methods
  • SSC question patterns

Candidates should solve at least the last 5тАУ10 years of SSC CGL arithmetic questions.

Practice Topic-Wise Tests

SSC CGL Topic-wise tests help candidates:

  • Identify weak areas
  • Improve speed
  • Build confidence
  • Master different question types

Regular practice is essential for achieving high accuracy.

Focus on Calculation Speed

Many SSC CGL Ratio and Proportion questions involve fractions, percentages, and simplifications.

Candidates should improve:

  • Fraction calculations
  • Percentage conversions
  • Multiplication tables
  • Square and cube values

Better calculation speed directly improves overall exam performance.

Follow a Daily Practice Routine

A simple daily routine can produce excellent results in the SSC CGL exam.

ActivityTime
Formula Revision10 Minutes
Concept Study15 Minutes
Practice Questions30 Minutes
Error Analysis10 Minutes
Revision10 Minutes

Even 60тАУ75 minutes of focused practice can significantly improve performance.

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Ratio and Proportion Questions for SSC CGL FAQs

How many Ratio and Proportion questions are asked in SSC CGL?

Candidates can generally expect around 1тАУ3 questions from Ratio and Proportion in the SSC CGL Tier 1 examination. The exact number may vary across shifts.

Is Ratio and Proportion important for SSC CGL?

Yes. Ratio and Proportion is an important arithmetic topic because it serves as the foundation for several chapters such as Percentage, Partnership, Profit and Loss, Mixture and Alligation, and Average.

What is the easiest way to solve SSC CGL Ratio and Proportion questions?

The easiest approach is to understand the basic concepts, simplify ratios first, use cross multiplication, memorize percentage-ratio conversions, and practice regularly.

Where can I download SSC CGL Ratio and Proportion Questions PDF?

You can download the SSC CGL Ratio and Proportion Questions PDF from this page. The PDF contains practice questions, answers, and detailed solutions for effective preparation.

Which SSC CGL Quantitative Aptitude topics should I prepare along with Ratio and Proportion?

Candidates should prepare Ratio and Proportion along with Percentage, Profit and Loss, Average, Partnership, Mixture and Alligation, Time and Work, Number System, Algebra, and Data Interpretation to strengthen their overall SSC CGL Quantitative Aptitude preparation.

Abhishek Jatariya

Hello Guys, I am Abhishek Jatariya (B.Tech (IT), HBTU Kanpur). At PracticeMock I am a dedicated Government Job aspirant turned passionate Content writer & Content creator. My blogs are a one-stop destination for accurate and comprehensive information on exams like SSC, Railways, and Other PSU Jobs. I am on a mission to provide you with all the details about these exams you need, conveniently in one place. I hope you will like my writing.

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