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CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53

CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53

Edited By Irshad Anwar | Updated on Sep 28, 2023 11:16 AM IST | #CAT

Hello aspirants for the CAT 2023, The admit cards for the CAT exam 2023 have been made available. This exam is scheduled for November 26 in preparation for MBA admissions from 2024-2026. In the continuation of the CAT 2023 60 days preparation guide series of Careers360, on day 53 we will discuss the strategies for Statistics Questions and Answers For CAT Exam, Aptitude Clocks Concepts, clocks aptitude questions and formulas that can help you prepare well and crack the CAT entrance test 2023. Students can download the Statistics questions and answers pdf. CAT Preparation 2023 in 60 days

CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53
CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53

Part-1: Quantitative Aptitude for CAT exam

Important Concept/Formula Used in Statistics questions and answers for CAT.

Concepts and Formulas Used in CAT statistics MCQ is given below:

  1. 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,

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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.

  1. Measures of Dispersion:

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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.

  1. Standard deviation:

1695879414509

  1. Variance

1695879414572

D. Quartile deviation

E. 10 – 90 percentile range

Statistics Practice Questions For CAT Exam From CAT Previous Years Papers

Q1. CAT 2023 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:

  1. Difference between a continuous variable and a discrete variable should be clear.

  2. Frequency and cumulative frequency are two different things.

  3. Learn all the statistics theorems, including the central limit theorem, LLN, Cauchy representation, mean, median, and mode.

  4. Learn series like the Taylor series, Cauchy series, and infinite series as they are used to frame statistical questions.

  5. Mode = 3 x median- 2 x mean

  6. 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

  1. Data Analysis

  2. Data Visualization

CAT study material: References to Study (Theory) Statistics concepts

  1. How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)

  2. Rodha: YouTube (https://www.youtube.com/watch?v=VlYCQXSHutM)

  3. (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:

  1. Objective Arithmetic by Rajesh Verma.

  2. CareerRide (https://www.youtube.com/watch?v=6Jrb4wEloCQ )

  3. Practice Sample Papers

Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation questions for CAT)

Important Concepts & Formula on Clock Problems

  1. 60 minutes space = 3600

  2. Hour hand covers 3600 in 12 hrs

  3. Minute hand covers 3600 in 60 minutes

  4. Second-hand covers 3600 in 1 minute

  5. The angle between the hour hand and minute hand at h hrs and m minutes

  6. Angle =11/2m-30h

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After completing all the important topics and concepts, aspirants should be able to solve Clock questions with solutions for CAT exam 2023 are given below.

CAT Previous Years Questions on Aptitude Clocks Concepts

For practice of all the aspirants, CAT Logical Reasoning Quiz on Clocks: 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]

  1. 60 degrees

  2. 120 degrees

  3. 45 degrees

  4. 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. 1: 36: 48

  2. 1: 40: 48

  3. 1: 41: 24

  4. 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 2023 Syllabus Topic: Strategy to prepare Clocks - Concepts and Questions with Solutions for CAT Exam

Clocks aptitude questions and formulas are given below:

  1. Learn the concepts very carefully.

  2. Minute hand and hour hand are perpendicular 22 times in 12 hrs.

  3. Minute hand and hour hand are at 1800 for 11 times in 12 hrs.

  4. Minute hand and hour hand overlaps 11 times in 12 hrs.

  5. Learn the concept of Faulty Clock.

  6. Clock which is fast, always gains.

  7. Clock which is slow, always loses time.

CAT entrance exam: Pre-requisite to Aptitude Clocks Concepts

  1. Ratio

  2. Basics of Time, Speed and Distance

  3. Knowledge of Analogue Clock

References to Study (Theory) Aptitude Clocks Concepts for CAT 2023

  1. R S Agrawal

  2. (https://www.youtube.com/watch?v=e88HawPKlz8)

References to Practice clocks aptitude questions for CAT exam

MBA Entrance Previous years Papers and Sample Papers.

Unacademy CAT (https://www.youtube.com/watch?v=_Pj2A5ektTE)

Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

Aspirants can download the CAT Critical reasoning pdf.

Important Concept for CAT Statement and Assumptions (Critical Reasoning 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 questions for CAT)

Q1. Statements and Assumptions (critical reasoning 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]

  1. Only assumption I is implicit

  2. Only assumption II is implicit

  3. Either I or II is implicit

  4. Neither I nor II is implicit

  5. 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 2023 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]

  1. Only assumption I is implicit

  2. Only assumption II is implicit

  3. Either I or II is implicit

  4. Neither I nor II is implicit

  5. 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) for CAT-2023

  1. Refrain from using basic General Knowledge.

  1. Spend adequate time decoding the statement.

  1. Increase the level of questions while practicing.

  1. Any assumption can be accepted if it is:

  • the Root Cause of a statement, or

  • The desired effect of a statement.

  1. Check whether an assumption is implicit or not, by “Keeping yourself in the shoes of the subject”

  1. 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.

  1. Practice questions daily (Fewer questions but daily)

CAT 2023: Pre-requisite to Statement and Assumptions

  1. Knowledge of basic components of statements and arguments.

  2. Sentence Structure.

References to Study (Theory)Statement and Assumptions” (Critical Reasoning)

  1. How to Prepare for Verbal Ability and Reading Comprehension for CAT | 9th Edition Book by Arun Sharma and Meenakshi Upadhyay

  2. CAT2CET (YouTube: https://www.youtube.com/watch?v=4hJRh8YIyo0)

References to Study (Practice) questions on Statement and Assumptions

  1. Verbal Reasoning by Disha Experts (kindle)

  2. CATKing.in

  3. (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!

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Questions related to CAT

Have a question related to CAT ?

Hello,

In the context of Karnataka's reservation categories, Vishwakarma is classified under Category 2A . Specifically:

  • Category 2A : This category includes communities that are identified as Vishwakarma , along with others such as Panchamasali , Nayaka , Goud , and others.

Hope it helps !

Hello aspirant,

A bachelor's degree from an accredited university with a CGPA of at least 50% (or an aggregate of 45% for the SC, ST, and PwD/DA categories) is required in order to appear in the CAT exam in 2024. Duration and manner of degree: The course needs to last three years. The mode might be online, distant, or regular.

To know complete information you can visit our website by clicking on the link given below.

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Thank you

Hope this information helps you.

Hello student

As a self-employed individual with your own cafe, you'll need to provide documents that establish your business and work experience. Here are some documents you can prepare for your CAT application:


1. *Business Registration Documents*:

- Partnership Deed (already have)

- Business PAN Card (already have)

- FSSAI License (already have, though it's in your partner's name)

2. *Proof of Business Ownership*:

- Affidavit or declaration stating your ownership and role in the cafe

- Business registration certificate (if you have one)

3. *Proof of Work Experience*:

- A letter or certificate from your partner or co-owner confirming your work experience and role in the cafe

- A detailed resume highlighting your entrepreneurial journey and responsibilities

4. *Financial Documents*:

- Income Tax Returns (ITRs) for the last 2-3 years (if applicable)

- Balance Sheets and Profit & Loss statements for your cafe (if audited)

5. *Rental Agreement*:

- Already have, but ensure it's updated and signed


Additional tips:


- Ensure all documents are scanned and uploaded in the required format (usually PDF or JPEG)

- Keep your documents organized and easily accessible for the application process

- Be prepared to provide additional information or clarification if requested by the admission authorities


Remember to check the specific requirements for each B-school you're applying to, as they may vary. Good luck with your CAT application!

Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:

1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability

  • Arithmetic

  • Algebra

  • Geometry and Mensuration

  • Number System

  • Modern Math

It seems unlikely that you would be able to get admission in the BTech CS branch at BIT Sindri or Mesra with a CML rank of 2058 and category rank of 433.

Key points:

1. The search results indicate that a CML (Common Merit List) rank of 2058 is quite low for admission to premier engineering colleges like BIT Sindri or NIT Mesra.

2. The cutoff ranks for BTech CS branch at these institutes are usually much higher, often in the range of 1000-2000 for the general category.

3. With a category rank of 433, you may have a better chance of getting admission in the reserved category quota, but the competition is still quite high.

4. The search results do not provide specific cutoff details for BIT Sindri or NIT Mesra, but the general trend suggests your current ranks may not be sufficient for the CS branch in these institutes.

My advice would be to:

1. Check the latest cutoff ranks and admission criteria on the official websites of BIT Sindri and NIT Mesra.

2. Explore other options like state-level engineering colleges or NITs where your current ranks may have a better chance of securing admission.

3. Consider improving your performance in the next attempt of the entrance exam to increase your chances of getting into your desired BTech program.



View All

1-radian measures 600. (True/False)

Option: 1

True


Option: 2

False


$111111^2$ = 

Option: 1

123456654321


Option: 2

123454321


Option: 3

123454321


Option: 4

12345654321


1111112 =___________ 

Option: 1

 123456654321


Option: 2

1234554321


Option: 3

123454321


Option: 4

12345654321


159702 is divisible by

Option: 1

7


Option: 2

9


Option: 3

11


Option: 4

6


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What best can be said about the number of satellites serving C? 

Option: 1

Must be between 450 and 725 

 


Option: 2

Cannot be more than 800 
 


Option: 3

Must be between 400 and 800 

 


Option: 4

Must be at least 100 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What is the minimum possible number of satellites serving B exclusively? 

Option: 1

100


Option: 2

200


Option: 3

500


Option: 4

250


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 

Option: 1

At most 475 

 


Option: 2

Exactly 475 
 


Option: 3

At least 475 

 


Option: 4

No conclusion is possible based on the given information 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

 If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 

Option: 1

The number of satellites serving C cannot be uniquely determined 

 


Option: 2

The number of satellites serving B is more than 1000 
 


Option: 3

All 1600 satellites serve B or C or S 

 


Option: 4

The number of satellites serving B exclusively is exactly 250 


2839155 is divisible by

Option: 1

2


Option: 2

7


Option: 3

55


Option: 4

None of the above


'a' for which x^{2}-ax+9= 0 can be written as square of a linear factor is

Option: 1

6


Option: 2

-6,6


Option: 3

\left ( 6,\infty \right )


Option: 4

\left ( -\infty,-6 \right )


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