**CAT Quant Exercises**

**Quant Questions** which appear in CAT are often tricky. As a result, an orthodox textbook method may not always be preferable in solving these CAT questions.

To solve CAT questions on Quant, it is imperative not only to be good with the concepts of major topics of Quantitative Aptitude for CAT but also to be good at applying various shortcuts and tricks to get to the answers quickly.

In this section, we have collected CAT quantitative aptitude questions with detailed solutions, on important topics. **The purpose of this section** is to give good sets of questions which test the depth of your concepts on various **topics of quantitative aptitude.**

## What is the level of these Quant CAT Questions?

In CAT quantitative aptitude section, the questions are of varied difficulty level. In recent CAT papers, **the overall difficulty level has dropped** considerably. However, nothing can be predicted about the difficulty level of quant questions in CAT 2019.

As a result, one should always be prepared to negotiate any changes in the difficulty level of the exam. Keeping this in mind, **most of the questions** in this section are of moderate to the higher difficulty level.

## Who should take solve these Quant CAT Questions?

Most of the questions are of moderate to the higher difficulty level. Therefore, we strongly suggest taking these questions **only if you are done with the basic concepts** of all the topics of quant.

However, if you are still in the process of learning the concepts, you may take the practice sets on the topic on which you have completed the concepts and have already practiced elementary level questions.

If you are about to start your preparation for CAT quant, then we highly recommend our article on ‘How to prepare for Quantitative Aptitude for CAT’.

## Are these Quant Questions in the form of test?

The quant questions are clubbed into many practice sets depending upon the topic and difficulty level. **Each set has around 5-10 questions.** Many of these questions have detailed explanations.

In fact, we have around 30 select quant questions across topics which have **detailed VIDEO solutions**. These 30 questions are part of our online CAT Quant Course.

You can also **download** these 30 questions of quants in **pdf** format. here is the link:

FREE Download Quant questions PDF

You can take these practice sets as a test. For your reference, if you get more than 70% of these questions correct, then your preparation for the Quantitative Section is at par.

30 CAT Quant Questions with video Solutions

## Number system CAT Questions for practice

## Algebra CAT Questions for practice

60 must do Algebra questions for CAT Exam

## Geometry CAT Questions for Practice

- Triangles questions with solutions
- Circles questions with solutions
- Mensuration 2D questions with solutions
- Mensuration 3D questions with solutions

## Modern Maths CAT Questions for Practice

## Arithmetic CAT Questions for Practice

40 Time and work Practice Questions with Solutions for CAT exam

40 Questions on Time Speed and ditance

CAT Quant Questions on Ratio and Proportion

25 Practice Questions for CAT on Profit and Loss

CAT mixture and alligation questions with solutions

## CAT 2020 Quant questions with Solutions

- CAT 2020 Quant Question 1
- CAT 2020 Quant Question 2
- CAT 2020 Quant Question 3
- CAT 2020 Quant Question 4
- CAT 2020 Quant Question 5
- CAT 2020 Quant Question 6
- CAT 2020 Quant Question 7
- CAT 2020 Quant Question 8
- CAT 2020 Quant Question 9
- CAT 2020 Quant Question 10
- CAT 2020 Quant Question 11
- CAT 2020 Quant Question 12
- CAT 2020 Quant Question 13
- CAT 2020 Quant Question 14
- CAT 2020 Quant Question 15
- CAT 2020 Quant Question 16
- CAT 2020 Quant Question 17
- CAT 2020 Quant Question 18
- CAT 2020 Quant Question 19
- CAT 2020 Quant Question 20
- CAT 2020 Quant Question 21
- CAT 2020 Quant Question 22
- CAT 2020 Quant Question 23
- CAT 2020 Quant Question 24
- CAT 2020 Quant Question 25
- CAT 2020 Quant Question 26
- CAT 2020 Quant Question 27
- CAT 2020 Quant Question 28
- CAT 2020 Quant Question 29
- CAT 2020 Quant Question 30
- CAT 2020 Quant Question 31
- CAT 2020 Quant Question 32
- CAT 2020 Quant Question 33
- CAT 2020 Quant Question 34
- CAT 2020 Quant Question 35
- CAT 2020 Quant Question 36
- CAT 2020 Quant Question 37
- CAT 2020 Quant Question 38
- CAT 2020 Quant Question 39
- CAT 2020 Quant Question 40
- CAT 2020 Quant Question 41
- CAT 2020 Quant Question 42
- CAT 2020 Quant Question 43
- CAT 2020 Quant Question 44
- CAT 2020 Quant Question 45
- CAT 2020 Quant Question 46
- CAT 2020 Quant Question 47
- CAT 2020 Quant Question 48
- CAT 2020 Quant Question 49
- CAT 2020 Quant Question 50
- CAT 2020 Quant Question 51
- CAT 2020 Quant Question 52
- CAT 2020 Quant Question 53
- CAT 2020 Quant Question 54
- CAT 2020 Quant Question 55
- CAT 2020 Quant Question 56
- CAT 2020 Quant Question 57
- CAT 2020 Quant Question 58
- CAT 2020 Quant Question 59
- CAT 2020 Quant Question 60
- CAT 2020 Quant Question 61
- CAT 2020 Quant Question 62
- CAT 2020 Quant Question 63
- CAT 2020 Quant Question 64
- CAT 2020 Quant Question 65
- CAT 2020 Quant Question 66
- CAT 2020 Quant Question 67
- CAT 2020 Quant Question 68
- CAT 2020 Quant Question 69
- CAT 2020 Quant Question 70
- CAT 2020 Quant Question 71
- CAT 2020 Quant Question 72
- CAT 2020 Quant Question 73
- CAT 2020 Quant Question 74
- CAT 2020 Quant Question 75
- CAT 2020 Quant Question 76
- CAT 2020 Quant Question 77
- CAT 2020 Quant Question 78

## CAT 2019 Quant Questions with Solutions

## CAT 2018 Quant Questions with Solutions

## CAT 2017 Quant Questions with Solutions

## List of CAT quant topics

**Number System**

- HCF and LCM Concepts
- Number of Factors of a Number
- Concepts of Remainders
- Remainders – Fermat Theorem
- Chinese Remainder Theorem
- 3 Steps to Find Last Two-Digit Numbers
- Factorials – Number of Trailing Zeros
- Base System Concepts – I
- Base System Concepts – II

**Geometry**

- Basic Concepts of Triangles
- Formulas for Area of Triangles
- Pythagorean Triplets: Concepts and Tricks
- Mass Point geometry
- Mensuration Formulas

**Algebra**

**Arithmetic**

- Averages
- Mixture and Alligation
- Time and Work
- Pipes and Cisterns
- Average speed concepts and problems
- AM-HM Concept in Time Speed and Distance
- Relative Speed Concept and Problems for CAT
- Circular Races Concepts and Problems for CAT
- Boats and Streams: Concepts Formulas and Problems for CAT Exam

please help me with this question.

three arithmetic sequences S1, S2,S3 are given below.

S1: 1,4,7,10………991.

S2: 2,6,10,14,………..1014.

S3: 3,8,13,18,…………………..1008.

if a sequence Sx contains all terms which are common in all three sequences, then find the sum of terms of the sequence Sx.

First common value which is present in s1,s2 and s3 is 58.

S1,S2,S3 has C.D of 3,4,5 respectively. So after 58, the value which will be common in all three will be( LCM (3,4,5) ) which is 60 ahead of it.. i.e 118.

So S6 will have 58,118,178,238 and so on…

the total number of term in the Sx sequence can be found as:

tn=a + (n-1)d

991= 58+(n-1) 60

n=16.

sum of AP= (n/2)(2a+(n-1)d)

= (16/2)(116+(16-1)60)

= 8128.

Regards,

Anurag Kumar

For additional support, You can reach me at aurogoks@gmail.com

sir how did you get the term 58…

How did you get the first common term?

12

hi, let me help you out

d1 = 3

d2=4

d3=5

Taking lcm would, we’ll get 60

so series would be 60, 120,……etc

i’ve made a mistake first term would be 58 & you can add lcm

series would be 58, 118, etc.

First, let’s try and find the first term of Sx, i.e. the first value that appears in all three series (S1, S2, S3).

We know, a_{n}=a_{1}+(n-1)d

Comparing S1 and S2 we get that: [4th term of S1 = 3rd term of S2]

And S2 and S3 we get that: [5th term of S2 = 4th term of S3]

Equating these two equations, we could conclude that [20th term of S1 = 15th term of S2 = 12th term of S3]

Again using the formula a_{n}=a_{1}+(n-1)d

Calculate any one of these:

Let’s say 15th term if S2 will be

a_{15}=2+(14)4 = 2+ 56 = 58

Therefore, 1st term of Sx = 58

Similarly, 2nd term of Sx = 30th term of S2

a_{30}=2+(29)4 = 2+ 116 = 118

For Sx, a=58 and d= (118-58) = 60

Now, 16th term of Sx = 958, which will be the last term of series

Therefore, Sum of series = S = n/2[2a + (n − 1) × d]

S = 16/2[2(58) + (16 − 1) × 60]

S = 8128

First common value which is present in s1,s2 and s3 is 58.

S1,S2,S3 has C.D of 3,4,5 respectively. So after 58, the value which will be common in all three will be( LCM (3,4,5) ) which is 60 ahead of it.. i.e 118.

So S6 will have 58,118,178,238 and so on…

the total number of term in the Sx sequence can be found as:

tn=a + (n-1)d

991= 58+(n-1) 60

n=16.

sum of AP= (n/2)(2a+(n-1)d)

= (16/2)(116+(16-1)60)

= 8128.

Regards,

Anurag Kumar

For additional support, You can reach me at aurogoks@gmail.com

I just saw a video that says the number system has negligible weightage relative to arithmetic geometry and algebra. So, is it fine to be aware of the basic concepts of the number system and let go the difficult ones?

yes one should focus on basics properties of numbers and can leave higher concepts.

can i practice these questions for CAT 2020?

Focus on application based questions in numbers….not highly advanced questions on Eulers, Chinese etc….they don’t come anymore…..