Parul University MBA Admissions 2025
Registrations Deadline- 12th June | India's youngest NAAC A++ accredited University | NIRF rank band 151-200 | 2200 Recruiters | 45.98 Lakhs Highest Package
Hello CAT 2024 aspirants, The CAT exam 2024 is scheduled On November 24 for MBA admissions 2025-2027. In the continuation of the CAT 2024 60 days preparation guide series of Careers360, on day 53 we will discuss the strategies for Statistics Questions and Answers For CAT Exam, Aptitude Clock Concepts, Clock aptitude questions and formulas that can help you prepare well and crack the CAT entrance test 2024. Students can download the Statistics questions and answers pdf. CAT Preparation 2024 in 60 days
CAT 2025: VARC, DILR, and Quant: MCQs & Weightages | Chapter-wise MCQs
CAT 2025 Study Material: VARC | Quantitative Aptitude | 60 Days Study Material by Experts
Online MBA: Guide | Top Online MBA Universities India | Online MBA at IIMs
Important Concept/Formula Used in Statistics questions and answers for CAT.
Concepts and Formulas Used in CAT statistics MCQ is given below:
Measures of Central Tendency:
The following are the five measures of central tendency.
Arithmetic mean: AM of a and b is (a+b)/2.
Geometric mean: GM of a and b is (ab)1/2.
Harmonic mean: Calculated with the help of AP.
Median (Mid Value): the value of the variable which divides the group into two equal parts.
Mode : the value of the variable corresponding to the maximum frequency. In the case of continuous frequency distribution, the class corresponding to the maximum frequency is called the modal class and the value of mode is obtained as,
Registrations Deadline- 12th June | India's youngest NAAC A++ accredited University | NIRF rank band 151-200 | 2200 Recruiters | 45.98 Lakhs Highest Package
Highest CTC: Rs 18.33 LPA | Average CTC: Rs 7.39 LPA | Experiential Learning | Classes by Industry Professionals | Alumni Mentorship Program
Where,
l = Lower limit of modal class
h = Magnitude of the modal class,
f1= frequency of the modal class
f0= Frequency of class preceding the modal class
f2= Frequency of class succeeding the modal class.
Measures of Dispersion:
The various measures of dispersion are as follows
Range (Xmax – Xmin); Xmax – Maximum Observation; Xmin = Minimum Observation
Mean deviation: Average deviation of each observation from the mean value.
Standard deviation:
Variance
D. Quartile deviation
E. 10 – 90 percentile range
Statistics Practice Questions For CAT Exam From CAT Previous Years Papers
Q1. CAT 2024 Statistics Questions and Answers are given below:
Five positive integers have their mean, mode and median, each equal to 8. If their range is 15 and the mode is unique. How many possible values can the least of them take? [TITA, Based on CAT]
Ans: [1]
Mean = 8
Mode = 8
Median = 8
It means, 8 is the mid value.
Case 1: Since the mode is unique, 8 occurred a minimum of two times.
Possible case:
a. five values are x y 8 8 x+15 (since the range is 15, where x is the minimum value)
So, (x+ y+ 8+ 8+ x+15) = 8* 5 = 40
⇒ 2x +y = 9
y= 1, x =4 (Not possible; y> x)
y= 3, x = 3 (Not possible; if it is so mode will have two values but mode should be unique)
y= 5, x = 2
One value of x is possible from here.
b. five values be x 8 8 z x+15
So, (x+ 8+ 8+ z+ x+15) = 8* 5 = 40
⇒ 2x +z = 9
z= 1, x =4 (Not possible; x> z)
z= 3, x = 3 (Not possible, z should be greater than 8)
z= 5, x = 2 (Not possible, z should be greater than 8)
Case 2: If 8 occurred three times.
Possible values are x 8 8 8 x+15
So, (x+ 8+ 8+ 8+ x+15) = 8* 5 = 40
⇒ 2x = 1
⇒ x = ½ (not an integer)
From all the cases discussed, there is only 1 possible value of x.
Q2. Statistics test questions are given below:
Rajesh’s family went for a winter vacation by a personal CAR. The prices of oil differ from state to state. Calculate the median oil cost.
81.65, 81.85, 81.90, 91.74, 92.06, 92.10, 102.18 [TITA, Based on CAT]
Solution: Arrange the data in ascending order, we get:
81.65, 81.85, 81.90, 91.74, 92.06, 92.10, 102.18
Hence, the median oil cost is 91.74
CAT Exam Important Topic: Strategy to Prepare “Statistics questions for CAT”
Find the CAT tips and tricks for Statistics in Quantitative Section below:
Difference between a continuous variable and a discrete variable should be clear.
Frequency and cumulative frequency are two different things.
Learn all the statistics theorems, including the central limit theorem, LLN, Cauchy representation, mean, median, and mode.
Learn series like the Taylor series, Cauchy series, and infinite series as they are used to frame statistical questions.
Mode = 3 x median- 2 x mean
Practice CAT questions on statistics from Previous years questions to get familiar with the types of questions being asked.
CAT entrance exam: Prerequisite to statistics questions and answers
Data Analysis
Data Visualization
CAT study material: References to Study (Theory) Statistics concepts
How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)
Rodha: YouTube (https://www.youtube.com/watch?v=VlYCQXSHutM)
(https://www.youtube.com/watch?v=zWI2Nv5_7iE)
CAT study material: References to Practise statistics questions and answers and statistics interview questions
Study sources of Statistics practice questions for CAT exam are given below:
Objective Arithmetic by Rajesh Verma.
CareerRide (https://www.youtube.com/watch?v=6Jrb4wEloCQ )
Practice Sample Papers
Important Concepts & Formula on Clock Problems
60 minutes space = 3600
Hour hand covers 3600 in 12 hrs
Minute hand covers 3600 in 60 minutes
Second-hand covers 3600 in 1 minute
The angle between the hour hand and minute hand at h hrs and m minutes
Angle =11/2m-30h
After completing all the important topics and concepts, aspirants should be able to solve Clock questions with solutions for CAT exam 2024 are given below.
CAT Previous Years Questions on Aptitude Clock Concepts
For practice of all the aspirants, CAT Logical Reasoning Quiz on :Clock questions and answers are given below :
Q1. Clock aptitude questions for CAT exam are given below:
The time in a clock is 20 minutes past 2. Find the angle between the hands of the clock.
[CAT 2016]
60 degrees
120 degrees
45 degrees
50 degrees?
Solution: [4]
Angle =11/2m-30h
⇒ Angle = 11x 20/2 – 30 x 2= 110 -60 = 500
Q2. CAT Questions Based on Clock are given below:
A clock loses 1% time during the first week and then gains 2% time during the next week. If the clock was set right at 12 noon on a Sunday, what would be the time that the clock will show exactly 14 days from when it was set right?[CAT 2016]
1: 36: 48
1: 40: 48
1: 41: 24
10: 19: 12
Ans: [2]
One week has 7 * 24 = 168 hours.
If the clock loses 1% time during the first week, then it will show a time of 1% less than 168 hours = 1.68 hours less.
Subsequently, in the second week, it gains 3.36 hours more than the actual time.
As it lost 1.68 hours during the first week and then gained 3.36 hours the next week, the net gain = 1.68 hours.
So the clock will show a time which is 1.68 hours more than 12 Noon two weeks after the given time.
1.68 hours = 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.
i.e. 1: 40: 48 P.M
CAT 2024 Syllabus Topic: Strategy to prepare Clock - Concepts and Questions with Solutions for CAT Exam
Clocks aptitude questions and formulas are given below:
Learn the concepts very carefully.
Minute hand and hour hand are perpendicular 22 times in 12 hrs.
Minute hand and hour hand are at 1800 for 11 times in 12 hrs.
Minute hand and hour hand overlaps 11 times in 12 hrs.
Learn the concept of Faulty Clock.
Clock which is fast, always gains.
Clock which is slow, always loses time.
CAT entrance exam: Pre-requisite to Aptitude Clock Concepts
Knowledge of Analogue Clock
References to Study (Theory) Aptitude Clock Concepts for CAT 2024
R S Agrawal
(https://www.youtube.com/watch?v=e88HawPKlz8)
References to Practice Clock aptitude questions for CAT exam
MBA Entrance Previous years Papers and Sample Papers.
Unacademy CAT (https://www.youtube.com/watch?v=_Pj2A5ektTE)
Aspirants can download the CAT Critical Reasoning : Decision making conclusion derivation and theme detection pdf.
Important Concept for CAT Statement and Assumptions (Critical Reasoning : Decision making conclusion derivation and theme detection in CAT)
The question has three parts
Statement + Question+ Options (Assumptions)
Statement: A statement is defined as that which is expressible by a sentence and is either true or false.
Assumptions:
It is logically connected
Relevantly assumed
No surety of being true
CAT Practice Questions on Statements and Assumptions ( Critical Reasoning : Decision making conclusion derivation and theme detection questions for CAT)
Q1. Statements and Assumptions ( Critical Reasoning : Decision making conclusion derivation and theme detection for CAT Exam) are given below:
Statement: A warning in a train compartment – “To stop the train, pull the chain. Penalty for improper use 500”
Assumptions:
Some people misuse the alarm chain
On certain occasions, people may want to stop a running train [NMAT 2020]
Only assumption I is implicit
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Ans. Option E
Explanation:
If the penalty is imposed then there must be a reason that people are mid using the facility.
So, Assumption 1 is implicit.
Secondly, an Alarm chain is provided for emergency uses. Therefore, II is also implicit.
Q2. CAT exam 2024 statements and Assumptions questions with solutions are given below:
Statement: If it is easy to become an engineer, I don’t want to be an engineer.
Assumptions:
An individual aspires to be professional
One desires to achieve a thing which is hard earned [XAT 2019]
Only assumption I is implicit
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Ans: [B]
Explanation:
If I want to be a professional, I should have worked hard. And I should not deny being an Engineer. Secondly, we can say a statement and assumption I are not co-related. so, I is not implicit.
The statement also gives us a hint that one rejects a thing that is easy to achieve. so, Assumption II is implicit.
CAT Exam Important Topic: Strategy to Prepare “Statement and Assumptions” (Critical Reasoning : Decision making conclusion derivation and theme detection ) for CAT-2024
Refrain from using basic General Knowledge.
Spend adequate time decoding the statement.
Increase the level of questions while practicing.
Any assumption can be accepted if it is:
the Root Cause of a statement, or
The desired effect of a statement.
Check whether an assumption is implicit or not, by “Keeping yourself in the shoes of the subject”
Be careful of the extreme words used in the sentence, such as most, only, all, best, definitely etc. The statement is supposed to be read carefully to pick the right assumption.
Practice questions daily (Fewer questions but daily)
CAT 2024: Pre-requisite to Statement and Assumptions
Knowledge of basic components of statements and arguments.
Sentence Structure.
References to Study (Theory)Statement and Assumptions” (Critical Reasoning : Decision making conclusion derivation and theme detection )
How to Prepare for Verbal Ability and Reading Comprehension for CAT | 9th Edition Book by Arun Sharma and Meenakshi Upadhyay
CAT2CET (YouTube: https://www.youtube.com/watch?v=4hJRh8YIyo0)
References to Study (Practice) questions on Statement and Assumptions
Verbal Reasoning by Disha Experts (kindle)
CATKing.in
(https://www.youtube.com/watch?v=YrBMjb_kb28)
Do your practice and stay focused; Day 54 will be back tomorrow.
Thank you!
All the Best!
Hi aspirant,
You can refer to the link given above for more information on the same.
All the best!
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
Identify Weak Sections:
I hope you got your answer, That's all Thank you.
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.
Many colleges accept low CAT scores or have their own exams. Some examples:
Lovely Professional University (LPU)
Amity University
UPES Dehradun
Jaipuria Institute of Management
ITM Navi Mumbai
These often have GD/PI rounds after application.
A career as Marketing Director is also known as a marketing expert who is responsible for the overall marketing aspect of the company. He or she oversees plans and develops the company's budget. The marketing Director collaborates with the business team to plan and develop the marketing and branding strategies for the company's products or services.
A Business Development Executive (BDE) is a professional responsible for identifying growth opportunities and fostering strategic partnerships to enhance a company's market position. Typically, a BDE conducts market research, analyses industry trends, and identifies potential clients or business prospects. He or she plays a crucial role in developing and implementing sales strategies to achieve revenue targets.
A BDE often collaborates with cross-functional teams, including marketing and product development, to align business objectives. Strong communication, negotiation, and relationship-building skills are essential for success in this role. BDE strives to expand the company's customer base, drive sales, and contribute to overall organisational growth in a dynamic and competitive business environment.
Content Marketing Specialists are also known as Content Specialists. They are responsible for crafting content, editing and developing it to meet the requirements of digital marketing campaigns. To ensure that the material created is consistent with the overall aims of a digital marketing campaign, content marketing specialists work closely with SEO and digital marketing professionals.
A Sales Manager leads a sales team to meet targets, formulates strategies, analyses performance, and monitors market trends. They typically hold a degree in management or related fields, with an MBA offering added value. The role often demands over 40 hours a week. Strong leadership, planning, and analytical skills are essential for success in this career.
Individuals who opt for a career as a business analyst look at how a company operates. He or she conducts research and analyses data to improve his or her knowledge about the company. This is required so that an individual can suggest the company strategies for improving their operations and processes.
In a business analyst job role a lot of analysis is done, things are learned from past mistakes and the successful strategies are enhanced further. A business analyst goes through real-world data in order to provide the most feasible solutions to an organisation. Students can pursue Business Analytics to become Business Analysts.
A marketing manager is a person who oversees a company or product marketing. He or she can be in charge of multiple programmes or goods or can be in charge of one product. He or she is enthusiastic, organised, and very diligent in meeting financial constraints. He or she works with other team members to produce advertising campaigns and decides if a new product or service is marketable.
A Marketing manager plans and executes marketing initiatives to create demand for goods and services and increase consumer awareness of them. A marketing manager prevents unauthorised statements and informs the public that the business is doing everything to investigate and fix the line of products. Students can pursue an MBA in Marketing Management courses to become marketing managers.
An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.
Digital marketing is growing, diverse, and is covering a wide variety of career paths. Each job function aids in the development of effective digital marketing strategies and techniques. The aims and objectives of the individuals who opt for a career as a digital marketing executive are similar to those of a marketing professional: to build brand awareness, promote company services or products, and increase conversions. Individuals who opt for a career as Digital Marketing Executives, unlike traditional marketing companies, communicate effectively through suitable technology platforms.
Amongst top 3% universities globally (QS Rankings)
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
MBA @ DES Pune University | Top Ranked B-School | 100% Placement Assistance
International Tie Ups | Project Based Learning | State of the art infrastructure | Last Date to Apply: 23rd May’25
Ranked #41 amongst institutions in Management by NIRF | 100% Placement | Last Date to Apply: 29th May
Registrations Deadline- 12th June | India's youngest NAAC A++ accredited University | NIRF rank band 151-200 | 2200 Recruiters | 45.98 Lakhs Highest Package