Quant Questions for CAT: Concepts, Syllabus, Weightage | Download CAT Quant Questions with Solutions PDF

By Shubhra Anand Jain|Updated : November 16th, 2022

Quant Questions for CAT are often challenging for the candidates during the exam as it involves numerous formulas and calculations. You may know that there is a separate section for CAT Quant Questions. So, the aspirants need to be well prepared as conceptual clarity is required for CAT Aptitude Questions to ensure minimum errors.

The candidates aiming to appear in the upcoming exam must download the CAT Quant Questions with Solutions PDF and start their preparation in advance. To ace CAT Quantitative Aptitude Questions, you need to learn several shortcut tricks to get the answer quickly and accurately. In this article, BYJU'S Exam Prep experts have put forth a detailed discussion of Quant Questions for CAT to assist the aspirants in their preparation.

Table of Content

What are CAT Quant Questions?

Quantitative Aptitude or Quant Questions for CAT basically deal with numerical questions, which test the candidates' mathematical knowledge, accuracy, and solving speed. CAT Quant Questions are mostly related to primary and elementary mathematics. Candidates who are appearing in the upcoming CAT Exam are required to be completely familiarised with the fundamental concepts of Quant Questions for CAT.

The candidates must remember one thing: CAT Quant Questions come under a separate section, that is, the CAT Quantitative Aptitude section. So, there is a sectional time limit, and you have to solve the questions accurately within this stipulated time. Apart from that, there is also CAT Negative Marking in this section. For every correct answer, +3 will be awarded, and for every incorrect answer, -1 will be deducted.

☛ Also Check: CAT Analysis

Quant Questions for CAT: Topics to be Covered

As per Expert's Analysis, CAT Quant Questions are completely mathematical calculation-based. The difficulty level varies from question to question, and nothing can be predicted priorly. Always be prepared so that you can adapt to any changes in the difficulty level for Quant Questions for CAT.

Note the table below and get an idea about the subjects mostly covered in the Quant section of the CAT Syllabus.

Topics Covered for Quant Questions for CAT

Numbers

Averages

HCF & LCM

Time, Speed & Distance

Time & Work

Percentage

Interest (Simple & Compound)

Series & Progression

Trigonometry

Probability

Permutation & Combination

Algebra

Geometry

Ratio

Mixture & Allegation

Set Theory

Logarithms

Coordinate Geometry

Complex Number

Equation (Quadratic & Linear)

Mensuration

(Note: The aspirants must note one thing: the CAT Authority does not release the subjects for the exam officially. So, these are made by our experts by curating the CAT Previous Years Question. It is recommended to grasp complete conceptual clarity related to all the topics covered in CAT Aptitude Questions)

CAT Quants Questions with Solutions PDF

The candidates can click on the link below to download the CAT Quant Questions PDF file for future reference.

CAT Quant Questions with Solutions Download PDF

Quant Questions for CAT: Sample

In the following section, we have given examples of CAT Quant Questions to assist the candidates in their CAT Preparation.

Question 1: Two pipes A and B can fill a cistern in 120 minutes and 150 minutes, respectively. There is also outlet C. If all three pipes are opened together, the cistern gets filled in 100 minutes. How much time will be taken by C to empty the full tank?

Answer: 3 hours and 20 mins

Explanation: Let the capacity of the cistern be 600 units.

From the given data, the efficiencies of pipes A and B are 5 units/ min and 4 units/min, respectively.

Let the efficiency of outlet pipe C be 'k' units/min.

Given the time taken to fill the cistern when all three pipes are open = 100 minutes

⇒ The efficiency of pipes × time taken = Capacity of the cistern

⇒ (5 + 4 – k) × 100 = 600

⇒ 9 – k = 6

⇒ k = 3

Therefore, the time is taken (t) by pipe C to empty the cistern = Capacity of the cistern ÷ efficiency of pipe C

⇒ t = 600 ÷ 3 = 200 minutes = 3 hrs 20 min

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Question 2: Sanjay went 20 km at an average speed of 15 km/hr and again travels 15 km at an average speed of 12 km/hr. Find his average speed.

Answer: 13.54 km/hr

Explanation: Total distance = 20 + 15 = 35 km 20/15+15/12

Total Time = (20/15+15/12) = 155/60 Hours.

Therefore, the required average speed

=Total distance/Total time

=(35/155)/60

=13.54 km/hr

= 13.54 km/hr

Question 3: The number of integral values of x that satisfy ||x – 6| – |x + 3|| ≤ 5 is

Answer: 6

Explanation: The given expression can be interpreted to mean that the distance (along the number line) from 'x' to '6' should differ from the distance from 'x' to '–3' by at most units 5. Since 6 and –3, Themselves are 9 units apart, no values of x to the left of –3 or the right of 6 can satisfy the given condition. However, between –3 and 6, we can see that any x, that is at least 2 units away from both –3 and 6 will satisfy.

Therefore –1, 0, 1, 2, 3, and 4 will satisfy the given condition. i.e., a total of six possible values.

Question 4: What will be the value of n if √2n =64?

Answer: 12

Explanation: 2n/2=26

n/2=6, means n=12

Question 5: What will be the value of x? 81.3 × 40.6 × 160.2 = 2x

Answer: 5.9

Explanation: 23.9×21.2×20.8

=23.9+1.2+0.8

=25.9

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CAT Aptitude Questions Overview

Note the below table to get an overview of the number of questions, marking scheme, and difficulty level for Quant Questions for CAT. Go through the latest CAT Exam Pattern to better understand the trend and weightage.

Key components

Details

Total number of CAT Quant Questions

22 (Approximate)

Question types

Both MCQs & TITA

Total number of MCQs

14 (Approximate)

Total number of TITA questions

8 (Approximate)

Total marks in Quant Questions in CAT

66

Difficulty level of

Moderate to Difficult

Marking scheme of Quant Questions in CAT

+3 for every correct answer

–1 for every incorrect answer

No marks for blank question

No negative marking in CAT TITA Questions

Quant Questions for CAT: Topic Wise Break up

CAT Quant Questions consist of topics from the Quantitative section. Candidates need to be aware of the various topics from which the CAT Aptitude Questions are asked.

  • Arithmetic
  • Algebra
  • Number System
  • Geometry
  • Modern Maths

Based on the past year's trend, it has been seen that Quant Questions for CAT consist of Arithmetic and Algebra questions. The number of aptitude questions usually asked in exams is given as follows.

☛ Also Check: CAT Cut Off

Quant Questions for CAT

Number of Questions (Approx)

Algebra

6-9

Arithmetic

8-11

Modern Maths

1

Geometry

2-4

Number System

1

How to Prepare CAT Quant Questions?

The syllabus of Quant Questions for CAT is not predefined, and most of the aspirants find it difficult at the time of preparation. Going through the previous year's questions are suggested to get an idea of the CAT Quant Question types, concepts, and difficulty level. You must note that Quant Questions for CAT generally follow repeated concepts every year; the changes are only in question number, difficulty level, and wordings.

When it comes to preparing for CAT Quant questions, the aspirants need to be well-focused and dedicated to their studies. Here, our experts have listed some quick tips which you can follow for better preparation.

Maintain Diary

Always maintain a diary for shortcut tricks and important formulas related to Quant Questions for CAT. The aspirants must note all important points they find uncommon or difficult. Also, maintaining a diary helps make time-to-time or quick revisions before the exam date. You must check CAT Answer Key after it is released officially to cross-check your answers with the official answers.

Maintaining a diary to make notes also boosts your memory. Prepare anything with a daily habit of writing. It will become easy for you to recall things related to Quant Questions for CAT during the exam.

Strengthen Your Basic Understanding

As you know, CAT Quant Questions are mostly related to elemental mathematics; thereby, basic conceptual clarity is required to solve these questions. You need to be well-acquainted with all the basic formulas for effective preparation.

Try to cover all the topics in Quant Questions for CAT, especially the numerical topics, so that you can get full marks in this section.

Practice a Lot

It is very important to practice all related chapters for Quant Questions for CAT. This should be the immediate task of the aspirants after finishing the syllabus. Solve CAT Sample Paper as much as possible to familiarize yourself with the questions in the QA section.

Try to attempt the 2-3 CAT Mock Test from BYJU'S Exam Prep to analyze your preparation level. Always try to learn from your mistakes and work on accuracy, as there is negative marking in CAT Quant Questions.

Do Revise Daily

Utilize your free time by revising the chapters you have studied for Quant Questions for CAT. Revisions are extremely important to get a grip on this section as the questions are tricky most of the time.

If the aspirants skip revising, they will forget what they have studied. So, revise your notebooks in your free time to gain more confidence in solving CAT Quant Questions.

The aspirants need to maintain a focused study to prepare for CQuant Questions for CAT. Dedication is highly desirable to get a good grasp of this section. Stay tuned with BYJU'S Exam Prep to get all the details related to CAT Aptitude Questions, along with some shortcut tricks to solve the questions easily and efficiently.

Expert's Tips to Solve Quant Questions for CAT

CAT Quant Questions often challenge the candidates aiming for the CAT Entrance Exam. However, if the candidates practice well for this section, it can be rewarding for them. Quant Questions for CAT seem daunting to aspirants, but regular practice will make it one of the scoring sections for the candidates. Check the following tips to know how to solve QA in CAT.

  • Get your basics correct: Candidates need to have clarity in their fundamentals so that solving the Quant Questions for CAT becomes a cheese walk.
  • Know the shortcuts: Candidates aiming at acing the Quantitative Aptitude for CAT must know the shortcuts, tips, and tricks as speed is an important factor in the exam. Knowing the shortcuts will help the candidates to maximize attempting the number of questions.
  • Practice: The amount of time one spends practising the Quant Questions for CAT is directly proportional to the chances of one excelling in this section. Questions on CAT QA only require constant practice.
  • Avoid Guesswork: Candidates are advised to avoid guesswork as there is negative making. Candidates should work on accuracy rather than guesswork.

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FAQ on CAT Quant Questions

  • As per the previous year’s analysis, you can expect 22 Quant Questions for CAT. There are two types of questions: MCQs and TITA.

    • Number of MCQs: 14
    • Number of TITA: 8
  • Yes, the aspirants have to finish CAT Quant Questions within the sectional time limit of 40 minutes. The total duration for the CAT Exam is 120 minutes, divided into 40 minutes for each section.

  • It cannot be said, as everyone has a different level of understanding. However, you can expect a moderate to tough difficulty level for Quant Questions for CAT. So, practice well and learn all the related shortcut tricks to ace this section.

  • The important topics for CAT Quant Questions are mostly found in Arithmetic and Algebra. The topics from which CAT Aptitude Questions apart from Arithmetic and Algebra are covered include Geometry, Number systems, and Modern Maths. Candidates need to practice a lot to ace the Quantitative Ability section.

  • Always be focused on the chapter-wise question while preparing for Quant Questions for CAT. It is needed because you will get conceptual clarity when you start solving the questions after completing one chapter. Besides, it is suggested to solve at least 20-40 questions per day as per your preparation level.

  • After completing the syllabus, the candidates must practice last year's question papers to practice CAT Quant Questions. It will give you valuable insight into the difficulty level and types of Quant Questions of CAT.

  • Begin with solving the basic questions and gradually move to the difficult questions in CAT Quantitative Aptitude section. Firstly, focus on Conceptual Clarity. Practice as many mock tests as possible to understand your weaker sections. Buy CAT Study Material to learn the tips and tricks to solve CAT Quant Questions.

  • Daily investments of 3-4 hours are enough to prepare CAT Aptitude Questions. But the candidates must be focused only on preparation during these hours. Keep all the distractions away during your study hours.

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