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Ratio & Proportion MCQs (Free Practice Questions)

Practice 10 carefully selected Ratio & Proportion MCQs with explanations. Continue practicing 500+ chapter-wise questions inside the Exam Sprinter app.

What is Ratio & Proportion?

Ratio & Proportion covers the essential principles and concepts required for SSC CGL.

💡 Why Study Ratio & Proportion?

Highly important, frequently tested in SSC CGL.

Parameter	Details / Relevance
Target Exam	SSC CGL
Subject Category	Quantitative Aptitude
Recommended Study Duration	10 Hours
Expected Questions	2 Questions
Difficulty Index	Medium
Interactive Solved MCQs	10 Questions (Complete Explanations)
Adaptive App Practice	500+ Questions & AI Tutor Supported

⚠️ Common Pitfalls to Avoid

Neglecting foundational prerequisites (make sure you review related chapters in the learning path).
Calculation and sign convention errors during numerical steps.
Confusing intermediate results with the final correct answer options.

🗺️ Recommended learning path

Percentage➔Ratio & Proportion (Current)➔Average

What You Will Learn

✓ Ratio & Proportion Fundamentals
✓ Key applications of Ratio & Proportion
✓ Advanced problem solving in Ratio & Proportion

Cheat Sheet & Formulas

$$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$
$$\text{Work} = \text{Efficiency} \times \text{Time}$$

Practice Questions

⏱ 60sHard

The ratio of two numbers is 3:4 and their LCM is 180. The first number is:

⏱ 65sMedium

If the price of petrol increases by 25%, by what percentage must a user reduce his consumption so that expenditure remains unchanged?

⏱ 70sEasy

A sum of money at compound interest doubles itself in 15 years. It will become 8 times of itself in:

⏱ 75sHard

A sphere of radius $6\text{ cm}$ is melted and recast into a wire of radius $0.2\text{ cm}$ . The length of the wire is:

⏱ 80sMedium

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

⏱ 85sEasy

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $8 : 2$ . If $10$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

⏱ 90sHard

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

⏱ 95sMedium

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $10 : 2$ . If $12$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

⏱ 100sEasy

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

Q10

⏱ 105sHard

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $12 : 2$ . If $14$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

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Frequently Asked Questions

Is Ratio & Proportion difficult for the exam?▼

Yes, Ratio & Proportion requires strong conceptual clarity and practice of standard SSC CGL style questions.

✓ Key Takeaways for Ratio & Proportion

High exam relevance: 2 questions on average are expected from this chapter.
Standard formulas: Comprehensive formula sheets and formulas are fully covered in the cheat sheet section above.
Practice and explanation: 10 standard MCQs are solved step-by-step to clarify common numerical and conceptual methods.
Step-by-step learning: Start with the formulas, work through the questions, and then download the mobile app for extensive practice.

Ratio & Proportion MCQs (Free Practice Questions)

🤖 Quick AI Summary

What is Ratio & Proportion?

💡 Why Study Ratio & Proportion?

⚠️ Common Pitfalls to Avoid

🗺️ Recommended learning path

What You Will Learn

Cheat Sheet & Formulas

Practice Questions

The ratio of two numbers is 3:4 and their LCM is 180. The first number is:

If the price of petrol increases by 25%, by what percentage must a user reduce his consumption so that expenditure remains unchanged?

A sum of money at compound interest doubles itself in 15 years. It will become 8 times of itself in:

A sphere of radius $6\text{ cm}$ is melted and recast into a wire of radius $0.2\text{ cm}$ . The length of the wire is:

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $8 : 2$ . If $10$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $10 : 2$ . If $12$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $12 : 2$ . If $14$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

Want to master Ratio & Proportion?

Frequently Asked Questions

✓ Key Takeaways for Ratio & Proportion

🔗 Related Study Resources

Ratio & Proportion MCQs (Free Practice Questions)

🤖 Quick AI Summary

What is Ratio & Proportion?

💡 Why Study Ratio & Proportion?

⚠️ Common Pitfalls to Avoid

🗺️ Recommended learning path

What You Will Learn

Cheat Sheet & Formulas

Practice Questions

The ratio of two numbers is 3:4 and their LCM is 180. The first number is:

If the price of petrol increases by 25%, by what percentage must a user reduce his consumption so that expenditure remains unchanged?

A sum of money at compound interest doubles itself in 15 years. It will become 8 times of itself in:

A sphere of radius 6 cm6\text{ cm}6 cm is melted and recast into a wire of radius 0.2 cm0.2\text{ cm}0.2 cm. The length of the wire is:

If sin⁡θ+cos⁡θ=2cos⁡θ\sin \theta + \cos \theta = \sqrt2 \cos \thetasinθ+cosθ=2​cosθ, then the value of cos⁡θ−sin⁡θ\cos \theta - \sin \thetacosθ−sinθ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio 8:28 : 28:2. If 101010 liters of the mixture are replaced with the second liquid, the ratio becomes 1:11 : 11:1. What was the total volume?

If sin⁡θ+cos⁡θ=2cos⁡θ\sin \theta + \cos \theta = \sqrt2 \cos \thetasinθ+cosθ=2​cosθ, then the value of cos⁡θ−sin⁡θ\cos \theta - \sin \thetacosθ−sinθ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio 10:210 : 210:2. If 121212 liters of the mixture are replaced with the second liquid, the ratio becomes 1:11 : 11:1. What was the total volume?

If sin⁡θ+cos⁡θ=2cos⁡θ\sin \theta + \cos \theta = \sqrt2 \cos \thetasinθ+cosθ=2​cosθ, then the value of cos⁡θ−sin⁡θ\cos \theta - \sin \thetacosθ−sinθ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio 12:212 : 212:2. If 141414 liters of the mixture are replaced with the second liquid, the ratio becomes 1:11 : 11:1. What was the total volume?

Want to master Ratio & Proportion?

Frequently Asked Questions

✓ Key Takeaways for Ratio & Proportion

🔗 Related Study Resources

A sphere of radius $6\text{ cm}$ is melted and recast into a wire of radius $0.2\text{ cm}$ . The length of the wire is:

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $8 : 2$ . If $10$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $10 : 2$ . If $12$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?

If $\sin \theta + \cos \theta = \sqrt2 \cos \theta$ , then the value of $\cos \theta - \sin \theta$ in Ratio & Proportion is:

In a mixture of Ratio & Proportion, two types of liquids are mixed in the ratio $12 : 2$ . If $14$ liters of the mixture are replaced with the second liquid, the ratio becomes $1 : 1$ . What was the total volume?