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Sequences, Data Sufficiency MIscellaneous questions, and Understanding of Critical Reasoning Strategies- Day 5
Edited By Team Careers360 | Updated on Sep 20, 2024 01:22 PM IST | #CAT
Hello CAT 2024 aspirants! We are now in the final week of the 60-day CAT 2024 preparation guide. For MBA admissions for the 2025-2027 session, the Common Admission Test is scheduled for November 24, 2024. On day 55 of Careers360's 60-day CAT 2024 preparation guide, we’ll explore strategies and approaches for Data Sufficiency questions in Quantitative Aptitude, Number and Letter Series in Logical Reasoning , and “Flaws and Paradox” (Critical Reasoning) in Verbal Ability. These insights will help you study effectively and excel in the CAT entrance test this year.
CAT 2025: VARC, DILR, and Quant: MCQs & Weightages | Chapter-wise MCQs
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This Story also Contains
- Part-1: Quantitative Aptitude for CAT exam
- Part-2: CAT 2024 Preparation Tips: CAT DILR tips Logical Reasoning and Data Interpretation)
- Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
- Free PDFs for CAT Preparation 2024
On Day 55 of your CAT 2024 preparation guide, we dive into the 'Number and Letter Series' questions and answers for CAT preparation. Alongside detailed explanations, we provide you with the tools needed to succeed. As you continue your CAT 2024 preparation, don't overlook the significance of mastering 'Number and Letter Series' questions. We've included comprehensive solutions to help you excel in this area of the exam. You can also download the data sufficiency questions PDF to further your preparation.
Part-1: Quantitative Aptitude for CAT exam
CAT 2024 Syllabus Topic: Strategy to prepare “Series (QA)”, Alphabet Test for CAT and Arithmetic Progression
Important Concept/Formula Used in Series
The concepts used in Series for Alphabet Test CAT and CAT Series Question are given below:
Series can be
Purely Number Series
Eg: 1, 3, 5, 7, …Alphabetical Series
Eg: AZ, CX, EV, …Alphanumeric Series: (Contains both alphabets and Numbers)
Eg: A4, C9, E16, …
CAT exam 2024: Series Arithmatical Problems Arithmetic Progression Alphabet Test
As the CAT 2024 entrance test approaches, make sure you've thoroughly covered 'Number and letter series questions with answers for CAT preparation.' Our article not only offers solutions but also presents effective strategies for conquering these challenging problems.
Alphabet TestSeries for CAT Preparation From CAT Previous Years Papers
Q1. Alphabet Test Reasoning Questions are given below:
10000, 11000, 9900, 10890, 9801,? [PGDTM, 2006]
10241
10423
10781
10929
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download NowAnswer: [3]
Add 10% of the first term to the first term to get the second term.
Subtract 10% of the second term from the second term to get the third term.
Add 10% of the third term to the third term to get the fourth term and so on.
So, the answer is option (3)
Q2. Alphabet Test Reasoning Practice Questions are given below:
1, 4, 27, 16,? , 36, 343 [SNAP PYQ]
25
87
120
125
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Ans: [4]
Two alternate series are there.
4, 16, 36 [squares of 2, 4 and 6]
1, 27, ?, 343 [cubes of 1, 3, 5 and 7]
So, the answer must be a cube of 5 = 125.
Tips/Tricks for CAT questions on Number And Letter Series
Tips and tricks: Number And Letter Series questions for CAT Preparation are given below:
- Take the difference of consecutive terms to make a difference series.
- Try to find the pattern in the newly formed series.
- Series can be based on squares, cubes, the difference of squares/cubes, and square/cube roots.
- Series can be a combination of two sequences.
- Learn the position of the alphabet from the left-hand side and right-hand side.
- Practise previous years questions from various MBA entrance Exams to get an idea of the pattern of questions being asked.
CAT entrance exam: Prerequisite to Number And Letter Series
- Basics of Coding-Decoding
- Squares, Cube , Prime etc
- Analytical Skills
CAT study material: References to Study (Theory) Number And Letter Series
- R S Agrawal
- CATKing.in (YouTube)
CAT study material: References to Alphabet Test Reasoning Practice Questions
Study sources of CAT Alphabet Test Questions are given below:
- MBA Entrance Previous years Papers and Sample Papers.
- Unacademy CAT4MBA
- (https://www.youtube.com/watch?v=v3lDOtlFzL4&t=2030s)
Part-2: CAT 2024 Preparation Tips: CAT DILR tips Logical Reasoning and Data Interpretation)
CAT Exam Important Topic: Strategy to Prepare ”Data sufficiency questions for CAT-2024”s
Important Concept/Formula Used in CAT data sufficiency reasoning
Concepts and Formulas Used in CAT data sufficiency reasoning are given below:
Data Sufficiency question, have the answer options which generally feature in this question type:
Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer (E) if the data in both Statements I and II together are necessary to answer the question.
CAT exam 2024:
Data Sufficiency In Quantitative Aptitude: CAT Previous Years Questions On Data Sufficiency
General Instructions for Data Sufficiency Questions for CAT exam:
Choose option A: If Statement 1 ALONE is sufficient; statement 2 is not sufficient
Choose option B: If Statement 2 ALONE is sufficient; statement 1 is not sufficient.
Choose option C: If Statements 1 & 2 TOGETHER are sufficient but are not sufficient independently.
Choose option D: If Each statement is INDEPENDENTLY sufficient.
Choose option E: If Statements together are NOT sufficient. Additional data is required.
Q1. Is the positive integer P prime?
Statement 1: 2P+1 is prime
Statement 2: P - 8 is a perfect square less than 25 [CAT Level]
A
B
C
D
E
Solution: C
Statement 1: 2P+1 is prime
Prime numbers are 2, 3, 5,7, 11, 13, 17, …….
If 2P+1 = 3, then P = 1 which is not a prime number.
If 2P+1 = 5, then P= 2 which is a prime number.
If 2P+1 = 7, then P= 3 which is a prime number.
If 2P+1 = 11, then P= 5 which is a prime number.
We can never get a prime number further.
So, we cannot say that the P is a prime or not.
Therefore, statement 1 is not sufficient.
Statement 2:
P - 8 is a perfect square
i.e. P- 8 = x2, where x is a positive integer.
So, P = x2 + 8
If x2 =1, then P= 9 is not a prime
x2 = 4, then P = 12 is not a prime number
x2 = 9, then P =17 which is a prime number.
x2 = 16, then P =24 which is a prime number.
So, we cannot say that the P is a prime or not.
Therefore, statement 2 is not sufficient.
Combined 1 and 2:
We are not getting any common solution. So, we will say there is no such Prime number.
Therefore, we can say our answer is “No”. Hence, both statements together are sufficient to answer the question.
The answer is option ‘C’.
Q2. What is n (n is an integer)?
Statement 1: n > 10
Statement 2: n2 < 144 [Practice Question: Easy]
A
B
C
D
E
Solution: C
Statement 1: n> 10, n can be anything greater than 10.
No unique answer.
Therefore, statement 1 is not sufficient.
Statement 2:
n2 < 144
n= 11, 10, 9, …
n= -11, -10, -9, …
Therefore, statement 2 is not sufficient.
Combined 1 and 2:
We have a unique value in common i.e.. n =11.
The answer is option ‘C’.
Tricks and Tips for CAT questions on data sufficiency problems
Find the CAT tips and tricks for Data Sufficiency Questions below:
Never assume anything on your own.
Be careful while answering questions like
Is the value of x can be calculated?”
When we get the answer to the question as 'No', we tend to mark the answer as Data Insufficient. But, even 'no' is an answer in some cases and this might mean that the data is sufficient
Carefully read the directions.
We need not solve the question completely. We must find out whether the answer can be calculated or not.
Practise Previous years questions to get familiar with the types of questions being asked.
CAT entrance exam: Prerequisite to solve data sufficiency questions
Prerequisites to data sufficiency reasoning are given below:
Knowledge of basics of each topic in quants.
Observational Skills
Analytical and problem-solving abilities
References to Study (Theory) CAT data sufficiency
Best sources to study data sufficiency for CAT are given below:
How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)
StudyIQ: YouTube (https://www.youtube.com/watch?v=zvvahYPdYiA&t=745s)
References to Practise data sufficiency problems
Best sources to practise data sufficiency questions and answers are given below:
Unacademy CAT4MBA (https://www.youtube.com/watch?v=v3lDOtlFzL4&t=2030s)
Practice Sample Papers
Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Strategy to Prepare “Flaws and Paradox” (Critical Reasoning) for CAT-2024
Important Concept of CAT Flaws and Paradox (Critical Reasoning questions)
The concepts used in Flaws and Paradox CAT questions are given below:
Paradox question contains two seemingly contradictory statements and you were asked to resolve the discrepancy.
Format of question is generally as follows:
Which of the following, if true, would best explain the discrepancy above?
Or
Which of the following, if true, would best resolve the paradox?
CAT Practice Questions on Flaws and Paradox (critical reasoning questions for CAT)
Flaws and Paradox CAT Sample Question:
A recent archaeological expedition in the American sub-continent revealed many skeletons of animals that were supposed to die about thousands of years ago. Further research suggested that all the skeletons had been exposed to temperatures in excess of 600 degrees Kelvin. This fact provided grounds for speculation that they were killed and cooked by local tribes at that time. However, some of the skeletons belonged to animals that were considered sacred by those tribes and were never hunted or eaten.
Which of the following best explains the apparent discrepancy above?
- Some of the skeletons found during the expedition belonged to animals that no longer inhabit the area.
- Skeletons of most animals did not have damages typical of the skeletons of animals that had been killed, cut, and cooked.
- Tribes that inhabited the American sub-continent 1000 years ago used fire to cook food.
- Another study indicated that there was a great famine in the American sub-continent at that time, which forced local tribes to look for alternative sources of food.
- A further study indicated evidence of a large fire that had occurred in the American sub-continent approximately 1000 years ago.
Solution and Strategy for Flaws and Paradox(critical reasoning questions for CAT) are given below:
CAT Strategy 1: Identify the paradox.
Studies revealed that animals were killed and cooked.
Studies also revealed that some skeletons belonged to those animals which were considered sacred.
These are the two contradicting statements. (Paradox)
CAT Strategy 2: Changing a paradox into a simple problem.
One can ask a simple question:
“Why were the scared animals exposed to a temperature in excess of 600-degree kelvin?”
CAT Strategy 3: Elimination of choices that have no relevance:
Go through each option:
Option (1): does not make any sense.
Option (2): Increasing the paradox.
Option (3): It does not answer the question.
Option (4): It does not explain the burning of sacred animals.
Option (5): In a fire, all animals will be burnt irrespective of their sacredness. Hence resolving the paradox.
Tips and Tricks for Flaws and Paradox questions for CAT exam 2024
Tips to approach questions on paradoxes
Understand “the line of reasoning”.
Find the possible contradictions in the argument.
Find the assumption which might reconcile and reconnect the contradictions
Tips to approach questions on paradoxes
Understand “the line of reasoning”.
Find the possible errors in the argument.
Practice questions daily (Fewer questions but daily)
CAT 2024: Prerequisite to Flaws and Paradox
Knowledge of basic components of statements and arguments.
Reading Skills.
References to Study (Theory) Flaws and Paradox for CAT exam
How to Prepare for Verbal Ability and Reading Comprehension for CAT | 9th Edition Book by Arun Sharma and Meenakshi Upadhyay
Rodha (YouTube: https://www.youtube.com/watch?v=1wqk7qZHH9E&list=PLG4bwc5fquziFHfEeGgOP-jU3_HqD68sV&index=10)
References to Practise CAT Questions on Flaws and Paradox (Critical Reasoning)
Verbal Reasoning by Disha Experts (kindle)
Rodha
(https://www.youtube.com/watch?v=kzIMeMENSjc&list=PLG4bwc5fquziFHfEeGgOP-jU3_HqD68sV&index=11)
Free PDFs for CAT Preparation 2024
CAT 2023 Official Question Paper and Answer Key (Slot 1) | |
CAT 2023 Official Question Paper and Answer Key (Slot 3) |
Tomorrow we'll be back with Day 56, so practice and pay attention.
Thank you!
All the Best!
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Questions related to CAT
Have a question related to CAT ?
Although, it's very unlikely that you will secure a seat in top ABM with CAT 67 percentile. Here's is a breakdown to your question:
· CAT Percentile vs. Score: A CAT score of 67 typically translates to a percentile in the range of 90-95 percentile based on the provided data from previous years. While this is a decent score overall, it falls short of the cutoffs for most top-tier ABM programs.
· Cutoffs for Top ABM Institutes:
- IIM Lucknow: For their PGP-ABM program, the qualifying CAT cutoff for the general category is around 85 percentile . However, the actual cutoff for shortlisting for the Written Ability Test (WAT) and Personal Interview (PI) stages is likely to be higher.
- IIM Ahmedabad: While they also offer an ABM program (PGP-FABM), their minimum qualifying CAT cutoff is around 80 percentile , but the final admission cutoffs are usually much higher, often in the 99+ percentile range for general candidates.
- MANAGE (National Institute of Agricultural Extension Management): Their cutoff in CAT percentile has been around 70 for the general category in recent years. With a 67 percentile, you might have a slim chance here, but it's still competitive.
- CCS NIAM (National Institute of Agricultural Marketing, Jaipur): They consider CAT scores with a significant weightage (30-51% in their selection criteria). While they don't explicitly state a cutoff, it's reasonable to assume it would be higher than 67 percentile for a good chance of admission.
· Overall Good CAT Score: Generally, a CAT percentile of 90 and above is considered a good score for securing admission to decent MBA programs in India. For top-tier institutes, a percentile of 95 and above is often preferred.
· MBA Colleges Accepting 60-70 Percentile: While there are MBA colleges that accept CAT scores in the 60-70 percentile range, these are generally not the top-ranked or most sought-after ABM programs. The focus of those lists is on general MBA programs, not specifically ABM.
While securing a seat in ABM can be tough, you can research about other colleges, consider other examinations, to improve your application profile.
You Got This !
Aman Kar 16 April,2025
Hello,
achieving a 99.99 pecentile in the CAT exam significantly enhances your prospects for admission to JBIMS, which evaluates candidates using an application rating(AR) score, which includes
-entrance exam score (CAT/MH-CET/CMAT) : 60% weightage
-Past Academic Record (PAR) : 15% weightage (https://cracku.in/colleges/jbims/admission-process/?utm_source=chatgpt.com)
-Extra-curricular Activities/Work Experience : 20% weightage (https://jbims.edu/uploads/announcement/Revised_M_Sc__Finance_Admission_Procedure_Batch_2024-26.pdf?utm_source=chatgpt.com)
-Diversity (Academic/Gender): 5% weightage
while ahigh CAT percentile is crucial, a lower academic record may impact your overall AR score. Nonetheless, exceptional performance in other areas, such as entrance exams and extracurricular activities, can help offset weaker academic credentials. it's advisable to review JBIMS's detailed admission criteria and consider strengthening other aspects of your application to enhance your chances
Riya Dhoot 10 April,2025
To find the 2024 MHT CET answer key, you'll need to check the official Maharashtra State Common Entrance Test Cell website. This is the primary source for all official announcements and documents related to the MHT CET exam. After the exam concludes, the CET Cell typically releases a provisional answer key.
Once released, the provisional answer key will likely be available as a downloadable PDF file. You'll need to navigate to the official website, look for the MHT CET section, and find the link related to the answer key. This link might be labelled "MHT CET 2024 Answer Key" or something similar.
After downloading the answer key, you can compare your responses with the official answers. If you find any discrepancies or have objections, the CET Cell usually provides a window for raising objections. You'll likely need to pay a specified fee for each objection raised. The official website will provide instructions on how to submit your objections, which may involve logging into your candidate portal and following the provided steps.
Finally, after considering all objections, the CET Cell will publish a final answer key. This final version is considered definitive, and the MHT CET results will be based on it. Keep an eye on the official website for all updates and announcements regarding the 2024 answer key.
I hope this helps.
SUKRITI GUPTA 13 April,2025
Greetings! Here's a detailed response to your query
Okay, so you're a bit confused about what to put in those CAT, FMS, DSE, and IIFT forms regarding your 12th scores. Since you did CBSE, they usually only consider your final 12th standard marks.
Even though you did great in 11th, scoring 495 out of 500, for these entrance exam forms, they're specifically asking about your 12th board exam marks .You mentioned you got 400 out of 500 in 12th, which comes out to 80%.
Therefore, when filling out the forms for CAT, FMS, DSE, and IIFT, you should enter 80% as your 12th percentage. The aggregate of 11th and 12th isn't typically what they're looking for in these sections. They want to know how you performed in your final board exams. So, stick with the 80% from your 12th results. Good luck with your applications!
SUKRITI GUPTA 05 April,2025
Greetings! Here's a detailed response to your query:-
Determination of the best time to start the journey of CAT examination is based on individual factors like your current skill level, knowledge ,potential, learning pace and availability. To give yourself the best chance of success on the CAT exam , which usually takes place in November, it's advisable to begin studying between January and March of that same year. This 8 to 12-month preparation window is widely recommended by experts. But if you're managing your college along with the CAT preparations make sure you start from 2nd year onwards. It will hep you manage stress and you'll have ample amount of time to get along with the syllabus , pattern and various practice and mocks .
You'll be able to build a strong foundation in each sections and be able to know your strengths and weaknesses in different topics. The CAT syllabus is extensive, and early preparation allows for thorough coverage. Assess your learning speed and adjust your preparation timeline accordingly.
Essentially, while the ideal start time is subjective, beginning your CAT preparation well in advance is generally considered the most effective strategy for achieving optimal results.
SUKRITI GUPTA 01 April,2025
Popular CAT Questions
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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