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Probability & Combinatorics MCQs (Free Practice Questions)

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

What is Probability & Combinatorics?

Probability & Combinatorics covers the essential principles and concepts required for GMAT Focus Edition.

💡 Why Study Probability & Combinatorics?

Highly important, frequently tested on the GMAT Focus Edition.

Parameter	Details / Relevance
Target Exam	GMAT Focus Edition
Subject Category	Quantitative Reasoning
Recommended Study Duration	10 Hours
Expected Questions	2 Questions
Difficulty Index	Easy
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

Percentages➔Probability & Combinatorics (Current)➔Statistics

What You Will Learn

✓ Probability & Combinatorics Fundamentals
✓ Key applications of Probability & Combinatorics
✓ Advanced problem solving in Probability & Combinatorics

Cheat Sheet & Formulas

$$\text{Work} = \text{Rate} \times \text{Time}$$
$$\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}$$

Practice Questions

⏱ 60sHard

If $\frac{2x - 5}{3} = 4$ , what is the value of $x$ ?

⏱ 65sMedium

A container contains a mixture of milk and water in the ratio $3 : 1$ . If $5$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

⏱ 70sEasy

If $\frac{4x - 5}{3} = 6$ , what is the value of $x$ ?

⏱ 75sHard

A container contains a mixture of milk and water in the ratio $5 : 1$ . If $7$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

⏱ 80sMedium

If $\frac{6x - 5}{3} = 8$ , what is the value of $x$ ?

⏱ 85sEasy

A container contains a mixture of milk and water in the ratio $7 : 1$ . If $9$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

⏱ 90sHard

If $\frac{8x - 5}{3} = 10$ , what is the value of $x$ ?

⏱ 95sMedium

A container contains a mixture of milk and water in the ratio $9 : 1$ . If $11$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

⏱ 100sEasy

If $\frac{10x - 5}{3} = 12$ , what is the value of $x$ ?

Q10

⏱ 105sHard

A container contains a mixture of milk and water in the ratio $11 : 1$ . If $13$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

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Frequently Asked Questions

Is Probability & Combinatorics difficult for the exam?▼

Yes, Probability & Combinatorics requires strong conceptual clarity and practice of standard GMAT Focus Edition style questions.

✓ Key Takeaways for Probability & Combinatorics

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.

Probability & Combinatorics MCQs (Free Practice Questions)

🤖 Quick AI Summary

What is Probability & Combinatorics?

💡 Why Study Probability & Combinatorics?

⚠️ Common Pitfalls to Avoid

🗺️ Recommended learning path

What You Will Learn

Cheat Sheet & Formulas

Practice Questions

If $\frac{2x - 5}{3} = 4$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $3 : 1$ . If $5$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{4x - 5}{3} = 6$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $5 : 1$ . If $7$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{6x - 5}{3} = 8$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $7 : 1$ . If $9$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{8x - 5}{3} = 10$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $9 : 1$ . If $11$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{10x - 5}{3} = 12$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $11 : 1$ . If $13$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

Want to master Probability & Combinatorics?

Frequently Asked Questions

✓ Key Takeaways for Probability & Combinatorics

🔗 Related Study Resources

Probability & Combinatorics MCQs (Free Practice Questions)

🤖 Quick AI Summary

What is Probability & Combinatorics?

💡 Why Study Probability & Combinatorics?

⚠️ Common Pitfalls to Avoid

🗺️ Recommended learning path

What You Will Learn

Cheat Sheet & Formulas

Practice Questions

If 2x−53=4\frac{2x - 5}{3} = 432x−5​=4, what is the value of xxx?

A container contains a mixture of milk and water in the ratio 3:13 : 13:1. If 555 liters of water are added, the new ratio of milk to water becomes 1:11 : 11:1. How many liters of milk were initially in the container?

If 4x−53=6\frac{4x - 5}{3} = 634x−5​=6, what is the value of xxx?

A container contains a mixture of milk and water in the ratio 5:15 : 15:1. If 777 liters of water are added, the new ratio of milk to water becomes 1:11 : 11:1. How many liters of milk were initially in the container?

If 6x−53=8\frac{6x - 5}{3} = 836x−5​=8, what is the value of xxx?

A container contains a mixture of milk and water in the ratio 7:17 : 17:1. If 999 liters of water are added, the new ratio of milk to water becomes 1:11 : 11:1. How many liters of milk were initially in the container?

If 8x−53=10\frac{8x - 5}{3} = 1038x−5​=10, what is the value of xxx?

A container contains a mixture of milk and water in the ratio 9:19 : 19:1. If 111111 liters of water are added, the new ratio of milk to water becomes 1:11 : 11:1. How many liters of milk were initially in the container?

If 10x−53=12\frac{10x - 5}{3} = 12310x−5​=12, what is the value of xxx?

A container contains a mixture of milk and water in the ratio 11:111 : 111:1. If 131313 liters of water are added, the new ratio of milk to water becomes 1:11 : 11:1. How many liters of milk were initially in the container?

Want to master Probability & Combinatorics?

Frequently Asked Questions

✓ Key Takeaways for Probability & Combinatorics

🔗 Related Study Resources

If $\frac{2x - 5}{3} = 4$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $3 : 1$ . If $5$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{4x - 5}{3} = 6$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $5 : 1$ . If $7$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{6x - 5}{3} = 8$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $7 : 1$ . If $9$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{8x - 5}{3} = 10$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $9 : 1$ . If $11$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?

If $\frac{10x - 5}{3} = 12$ , what is the value of $x$ ?

A container contains a mixture of milk and water in the ratio $11 : 1$ . If $13$ liters of water are added, the new ratio of milk to water becomes $1 : 1$ . How many liters of milk were initially in the container?