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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.
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 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use 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
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 ?
Hello there,
With a 53 percentile in CAT , the chances of receiving a call from XISS (Xavier Institute of Social Service) may be limited, as their typical cutoff for CAT is generally higher than this, especially for their flagship programs like MBA or PGDM .
However, admission depends on several factors such as:
-
Academic Profile
: Your
10th (67.8%)
,
12th (82.5%)
, and
graduation SGPA (7.5)
are decent, and they can contribute positively to your application.
-
Work Experience/Extra-curriculars
: If you have any relevant work experience or strong extra-curricular achievements, it might improve your chances.
- Overall Application Strength : XISS also considers your overall profile, including your statement of purpose (SOP) and interview performance .
Though the
CAT percentile
is a key factor, you might still be considered based on your overall profile if you apply to their
PGDM programs
. It's always worth checking with the college directly for the specific eligibility criteria and cutoffs for the year you're applying.
I would recommend you to use CAT College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 24 January,2025
The Common Admission Test (CAT) is a highly competitive entrance exam in India for admission to prestigious management programs like the MBA, primarily at the Indian Institutes of Management (IIMs) and other top business schools. It tests a candidate's aptitude in areas such as quantitative ability, verbal ability, logical reasoning, and data interpretation. CAT is valuable for students aspiring to build a career in business, management, or entrepreneurship, as it opens doors to world-class education, exceptional networking opportunities, and lucrative career prospects. Excelling in CAT demonstrates analytical thinking, problem-solving skills, and leadership potential, essential qualities for success in the corporate world.
Tanya Gupta 23 January,2025
Hello there,
With a 77.38 percentile in CAT and sectionals of 61/89/67 , it may be challenging to secure admission to NIT Tiruchirappalli for an MBA, as their cutoff tends to be higher. However, there are still some possibilities, and you could consider these steps:
-
NIT Tiruchirappalli (MBA): Generally, the cutoff for NIT Trichy’s MBA program is around 85-90 percentile, depending on the year and category. Your chances might be slim, but it’s always good to check with the college directly for their specific cutoff.
-
Other Colleges to Consider:
-
IMT Ghaziabad (Consider their sectional cutoffs):
Known for its management programs, IMT could be a good option with your profile.
-
XIME Bangalore:
This college has a more accessible cutoff and offers a good ROI.
-
UPES Dehradun:
If you're looking at newer or specialized MBA programs, UPES could be another option.
-
KIIT School of Management, Bhubaneswar:
They accept CAT scores and have reasonable cutoffs.
-
IIMs (if in lower percentiles in the category, check IIMs like IIM Jammu, IIM Bodh Gaya, or IIM Kashipur).
-
Symbiosis Pune (SIBM):
They have slightly more flexible cutoffs, depending on their intake.
-
IMT Ghaziabad (Consider their sectional cutoffs):
Known for its management programs, IMT could be a good option with your profile.
-
Other Entrance Exams: You could also look at other entrance exams like XAT, NMAT, or SNAP to apply to colleges like XLRI Jamshedpur, NMIMS Mumbai, or Symbiosis Institutes.
Additionally, considering your strong sectional score in DILR (89), you could focus on colleges with a more flexible approach to sectionals and percentile aggregation.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 23 January,2025
Hello there,
With a 65 percentile in CAT and belonging to the General category , getting admission to USMS (University School of Management Studies) can be challenging, as their cutoffs are generally higher, typically around 85-90 percentile or more. However, admission can depend on factors like:
-
Category-wise cutoff : Sometimes, the cutoff for the General category can be higher, but you may still apply as there might be specific reservation relaxations or fluctuations based on the number of applicants.
-
Interviews and GD : Even if you meet the minimum cutoff, interviews and group discussions are a mandatory part of the selection process. They assess your communication skills, leadership qualities, and overall fit for the program.
Recommendations:
-
Check the official cutoff
for USMS for your specific year.
-
Prepare for interviews
: It is likely that you will have to appear for the next rounds if you qualify. Preparing well for the interview is important, as it can make a difference in your selection.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 21 January,2025
Top MBA colleges based on CAT, XAT, SNAP, and NMAT scores include some of India’s best institutions. For CAT, the IIMs (Ahmedabad, Bangalore, Calcutta) and FMS Delhi are highly regarded. XAT results in prestigious colleges like XLRI Jamshedpur and XIMB. SNAP is known for Symbiosis Institutes, such as SIBM Pune and SCMHRD. NMAT scores open doors to NMIMS Mumbai, SPJIMR Mumbai, and ISB Hyderabad. Each exam has unique eligibility requirements, and their cutoffs vary, so it's important to research the specific criteria and select based on your preferences and strengths.
Ankit 17 January,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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