Quant Mock Marathon: Mixed Topic Practice Set for CAT & IPM Aspirants

CL Team June 22 2025

4 min read

Quant Mock Marathon: Mixed Topic Practice Set for CAT & IPM Aspirants

Introduction

Quantitative Aptitude is one of the most decisive sections in exams like CAT and IPMAT. While many aspirants focus on mastering concepts topic-wise, the real challenge lies in tackling mixed-topic questions under time pressure.

That’s where a Quant Mock Marathon comes in—a full-length problem-solving session that mimics the unpredictability of the actual exam.

This blog by Career Launcher South Ex, Delhi, brings you a hands-on strategy to:

Build stamina
Sharpen your question selection skills
Apply concepts from Arithmetic, Algebra, Geometry, and Modern Math in a seamless, exam-like format

Why Mixed-Topic Practice Matters

In the actual CAT or IPMAT, questions are not categorized by topic. You're not told, “This is a Time-Speed-Distance question” before solving it. Instead, you're expected to:

Switch between concepts quickly
Identify scoring opportunities instantly
Avoid time-wasting traps
Stay calm and focused under pressure

Practicing mixed-topic mocks helps train your brain to make better decisions, faster.

Quant Mock Marathon Structure

Our Quant Mock Marathon includes 20 handpicked questions covering major topics:

Arithmetic (6 questions)
Algebra (5 questions)
Geometry & Mensuration (4 questions)
Number System (3 questions)
Modern Math (2 questions)

Each question is followed by a detailed analysis—explaining both the how and the why.

Practice Set: 20 Mixed Questions

Q1. [Arithmetic] A shopkeeper marks up his goods by 40% and offers a discount of 25%. What is the profit or loss percentage?

Q2. [Algebra] If $\frac{1}{x} = 4$ , find the value of $x2+1x2x^2 + \frac{1}{x^2}$ .

Q3. [Number System] What is the greatest 4-digit number that is divisible by 15, 20, and 24?

Q4. [Geometry] A circle is inscribed inside a square. If the area of the square is 49 sq units, what is the area of the circle?

Q5. [TSD] A train 180 meters long crosses a pole in 12 seconds. Find its speed in km/h.

Q6. [Percentages] A student scores 20% more in English than in Maths. If his average in the two subjects is 66, what is his score in English?

Q7. [Algebra] Solve: $x^2 - 7x + 10 = 0$

Q8. [Geometry] The diagonal of a square is $10210\sqrt{2}$ cm. Find the perimeter of the square.

Q9. [SI & CI] The simple interest on â¹12,000 for 2 years at 10% is how much more than the compound interest?

Q10. [Modern Math] A bag has 3 red and 4 green balls. Two balls are drawn at random. Find the probability that both are red.

Q11. [Arithmetic] A can do a piece of work in 10 days, B in 15. Working together, how long will they take to complete the job?

Q12. [Algebra] Simplify: $x2−9x+3\frac{x^2 - 9}{x + 3}$

Q13. [Geometry] Find the area of a triangle with base 8 cm and height 5 cm.

Q14. [Ratio] The ratio of ages of A and B is 3:5. After 6 years, the ratio becomes 4:5. Find their present ages.

Q15. [Time & Work] If 8 men can finish a work in 20 days, how many men are needed to finish it in 10 days?

Q16. [Algebra] If $a - b)^2 = a^2 + b^2 - 2ab$ , verify for a = 5, b = 3.

Q17. [Mensuration] Find the volume of a cylinder with radius 4 cm and height 10 cm.

Q18. [Modern Math] In how many ways can the letters of the word 'LEVEL' be arranged?

Q19. [Arithmetic] If the cost price is â¹240 and the profit is 25%, what is the selling price?

Q20. [Number System] What is the sum of all even numbers between 1 and 100?

Detailed Solutions and Concepts Review

Each of these questions serves as a diagnostic tool. The detailed solutions explain:

Common traps to avoid
Alternate shortcut methods
When to solve, when to skip

ð¹ You can request the full solution PDF at Career Launcher South Ex Center after the session.

Smart Strategy for Mixed Mocks

Round 1 – Fast Picks

Start with easy, familiar questions
Usually from Arithmetic, Averages, or Ratios

Round 2 – Medium Effort

Attempt Algebra, Geometry, or TSD if confident

Round 3 – High Risk/Reward

Attempt Modern Math, Number System, or time-heavy puzzles only if time permits

Post-Mock Reflection: Key Metrics to Track

Accuracy: How many per topic?
Time spent: Which questions consumed too much time?
Missed Opportunities: Questions you skipped but could have solved
Silly Mistakes: Due to rushing or misreading

Create an Error Log

Example:

Topic: Algebra
Question: Q2
Error: Misused identity
Fix: Revise $\frac{1}{x}$ square formula

7-Day Quant Revision Planner

Day 1: Arithmetic + 2 Full-Length Mocks
Day 2: Algebra + Concept Drills
Day 3: Geometry + Diagram-Based Questions
Day 4: Number System + Previous Year Questions
Day 5: Mixed Mock Marathon + Deep Analysis
Day 6: Modern Math + Probability Revision
Day 7: Full Review + Error Log Update

Conclusion

The Quant Mock Marathon is more than just a test—it's a training ground for mental agility, accuracy, and decision-making.

Every mock brings you closer to real exam conditions. Treat each one seriously.

For live problem-solving sessions, doubt-clearing labs, and mock analysis workshops, visit Career Launcher South Ex, Delhi.

Push your percentile higher—one mock at a time.