25+ CAT Quant Practice Questions with Solutions PDF Download

Find a curated set of 25+ CAT Quant Practice Questions with Solutions PDF Download to ace your preparation for the upcoming CAT 2025 exam. The Quantitative Aptitude (QA) section of the CAT 2025 exam is an area you should specifically pay attention to. This section covers topics, including Number Systems, Ratio and Proportions, Percentages, Profit and Loss, Time and Work, Algebra, Geometry, and many more. With the right strategy supplemented with enough practice, you would be able to aim for an exceptional score. From the total of 100 questions on the CAT exam, 34 questions are from the Quantitative Aptitude section, which accounts for one-third of the overall marks; each question is worth 3 marks, while each incorrect answer detracts 1 mark. Since top B-schools consider sectional percentiles, it is equally important to focus on each section. The following sections of the article provide you with a PDF containing a set of 25+ questions for Quantitative Ability to help you grasp the type of questions and assess the difficulty level you are likely to expect in the CAT 2025 Quant section.

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CAT Quant Questions with Solutions

Consistent practice with the below given types of CAT Quant questions will improve your accuracy, improve your speed, build your confidence, and ensure your overall exam readiness.

Question 1: A dishonest shopkeeper sells sugar at a cost price, but uses faulty weights, thus gaining 25%. Now he would like to give a discount but still make a 12% profit. What percent discount should he offer?

Options:

1] 15.2%

2] 12.5%

3] 10.4%

4] 13%

Correct Answer: 3] 10.4%

Explanation:

Let CP = ₹100.
Using 25% less weight ⇒ sells 0.8 kg as 1 kg ⇒ SP = 100 / 0.8 = ₹125.
To make 12% profit, ⇒ required SP = ₹112.
Discount % = (125 − 112) / 125 × 100 = 10.4%

Question 2: The average age of 5 people is 24. If one person leaves and one new person joins, the new average is 22.  What is the age of new person if the person who left was 28 years old?

Options:

1] 301

2] 421

3] 721

4] 841

Correct Answer: 1] 301

Explanation:

LCM(3,4,5,6) = 60. Try numbers of the form 60k + 1.

60×5 + 1 = 301 and 301 ÷ 7 = 43 ⇒ 301 is divisible by 7

Question 3: The length of a rectangle and the breadth of a rectangle were increased by 10% and 20% respectively.  What is the % increase in area?

Options:

1] 30%

2] 32%

3] 34%

4] 28%

Answer: 2] 32%

Explanation:

Area increase = a + b + (ab/100)
= 10 + 20 + (10×20)/100 = 30 + 2 = 32%

Question 4: A 20-litre mixture is composed of milk and water in the ratio of 3:2. How much water should be added to the mixture to make the ratio equivalent to the ratio of 1:1?

Options:

1] 2 litres

2] 4 litres

3] 5 litres

4] 6 litres

Correct Answer: 2] 4 litres

Explanation:

Milk = 12L, Water = 8L. Add x litres to water:
(12)/(8 + x) = 1 ⇒ 12 = 8 + x ⇒ x = 4 litres

Question 5: If log₁₀(2x + 3) = 1. Then what is x?

Options:

1] 3.5

2] 3

3] 4

4] 5

Correct Answer: 1] 3.5

Explanation:

log₁₀(2x + 3) = 1
⇒ 2x + 3 = 10¹ = 10
⇒ 2x = 10 − 3 = 7
⇒ x = 7 / 2 = 3.5)

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25+ CAT Quant Questions with Solutions PDF for Practice

This collection of 25+ CAT Quant questions with detailed solutions is designed to help you strengthen your understanding and sharpen your problem-solving skills. After each question, you will find a clear explanation that breaks down the logic, methods, and handy shortcuts you need to solve it efficiently. By practising these regularly, you’ll improve your speed, accuracy, and most importantly, your confidence when facing a variety of topics. Use this PDF as a key part of your preparation and watch your confidence soar as you get ready for CAT 2025:

How to Approach CAT 2025 Quant Preparation?

The CAT 2025 preparation needed for the Quant section requires conceptual clarity, planning, and practice. Here are some important CAT 2025 Quantitative Ability preparation tips for achieving maximum success in this section:

• Understand the Fundamentals : You need to study and understand the fundamentals of mathematics from Class 9 and 10 study materials. The key points to focus on include Arithmetic, Algebra, Geometry, Number Systems, and Modern Math.

• Prepare a Schedule or Study Plan: Prepare a specific period or allocate time for studying each topic and adhere to a pre-planned timetable. Start with the more basic or easier concepts and follow with advanced-level questions.

• Practice Regularly: You must practice topic-specific questions and gradually move on to mixed questions. Practising pre-solved question papers can help you with a range of problems to build versatility and speed.

• Be Aware of Shortcuts & Tricks: Get familiar with the important formulas and learn quick calculation methods to build speed in the examination.

• Analyse the Results of Mock Tests: Take regular mock tests and analyse the outcome of the tests. Students should aim to improve on speed, accuracy, and whether the test exposed any weak areas.

• Do Thorough Revision: Follow a revision schedule so that you are covering all of the concepts and making sure to reinforce your learning with practice and repetition.

Following these preparation tips will ensure you are prepared to take on the QA section and will improve your overall score in CAT 2025.

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