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CAT Success : Expert Tips on Probability, Intro to Data Sufficiency, Synonyms & PYQs Discussion- Day 39
Edited By Irshad Anwar | Updated on Sep 19, 2024 01:41 PM IST | #CAT
Hello CAT 2024 candidates, On November 24, the CAT exam 2024 for MBA admissions in 2025–2027 will take place. In this CAT 2024 60-day preparation guide series of Careers360, we will discuss the strategies on probability questions for day 39 that can help you prepare well and crack the CAT entrance test 2024.
This article includes probability questions and other difficult aptitude questions on probability, Data sufficiency questions for CAT and Synonyms for CAT Exam. CAT Preparation 2024 in 60 days
Part-1: Quantitative Aptitude for CAT exam
Aspirants can also refer to the Permutation and Combination and Probability problems with solutions pdf.
CAT Exam Important Topic: Strategy to Prepare Probability Questions For CAT Exam, Permutation and Combination
Important Concept/Formula Used in CAT Probability Practice Questions
CAT Probability or Chance:
Probability is a quantitative measure of the chance of occurrence of a particular event.
PE=n(E)/n(S), n(E) = no of favourable events; n(S) = Sample Space.
Random Experiment probability problems
If all the possible outcomes of an experiment are known but the exact output cannot be predicted in advance.
Examples
(i) Tossing of a fair coin (Total Outcome 2)
(ii) Dice probability questions
Throwing an unbiased die (Total Outcome 6)
(iii) Cards game probability questions
Drawing a card from a pack of shuffled cards
A pack or deck of playing cards has 52 cards which are divided into four categories as given below
a. Spades (♠)
b. Clubs (♣)
c. Hearts (♥)
d. Diamonds (♦)
[13 Cards: 9 Number cards, 1 Ace, 1 Jack, 1 Queen and 1 King] in each type
Sample Space: Sample Space is the set of all possible outcomes of an experiment. It is denoted by S.
CAT 2024 Percentile Predictor
Students can predict their overall performance by using CAT 2024 Percentile Predictor tool before the declaration of the actual result.
Try NowEvent: Any subset of a Sample Space is an event.
Equally Likely Events: Events are said to be equally likely if there is no preference for a particular event over the other.
Examples
(i) When a coin is tossed, Head (H) or Tail is equally likely to occur.
Mutually Exclusive Events: if the occurrence of one of the events excludes the occurrence of the other
Example
(i) Tossing of a coin: either Head or Tail.
(iii) Rolling of a die: Either odd or even.
Independent Events: The occurrence or non-occurrence of one event does not influence the occurrence or non-occurrence of the other.
Exhaustive Event is the total number of all possible outcomes of an experiment.
Examples
(i) When a coin is tossed, we get either Head or Tail. Hence there are 2 exhaustive events.
CAT Exam: Previous Year Cat Questions On Probability Permutations And Combinations
Q1. Difficult aptitude questions on probability
A coin of radius 3 cm is randomly dropped on a square floor full of square-shaped tiles of 10 cm each. What is the probability that the coin will land completely within a tile? In other words, the coin should not cross the edge of any tile.[XAT 2018]
0.91
0.5
0.49
0.36
0.16
Solution: (E)
The radius of the coin is 3 cm. Since the coin should not cross the edge, the centre of the coin should at least be 3 cm away from the edge of the tile.
If we left 3 cm from all the edges, then the centre can lie in a square of 4 x 4.
So, Probability = Area of square 4 x4/ Area of tile
= 16/100 =0.16.
Q2. A die is thrown three times and the sum of the three numbers is found to be 15. The probability that the first throw was a four is [IPMAT 2019]
1/6
¼
1/5
1/10
solution: [C]
We can get sum 15 if
Case 1: 6, 6, 3
Total outcome = 3!/2! = 3
Favourable outcome (getting 4 at first throw) = 0
Case 2: 6, 5, 4
Total outcomes = 3! = 6
Favourable outcome (getting 4 at first throw) = 2 (4, 5, 6 or 4, 6, 5)
Case 3: 5, 5, 5
Total outcome = 1
Favourable outcome (getting 4 at first throw) = 0
Probability = 2/10 = 1/5.
Tricks and Tips of CAT permutations and combinations, probability
Learn Algebra of Events
(i) A ∪ B is the event that either A or B or Both occur. (i.e., at least one of A or B occurs)
(ii) A ∩ B is the event that both A and B occur
(iii) is the event that A does not occur
(iv) is the event that none of A and B occurs
P(S) = 1
0 ≤ P (E) ≤ 1
P(ϕ) = 0 (∵ Probability of occurrence of an impossible event = 0)
Let x outcomes be favourable to E and y outcomes are not favourable to E, then
Odds in favour of E are x:y, i.e.,x/y and
Odds against E are y:x, i.e.y/x
PE=x/x+y
PE'=y/x+y
Learn Conditional Probability.
Binomial Distribution:”
P (r successes in n trials) =
If n fair coins are tossed,
The Total number of outcomes in the sample space = 2n
The probability of getting exactly the r-number of heads when n coins are tossed =
Practice sample papers and questions based on previous years CAT Questions.
Solve Questions from easy to moderate levels and after that try hard questions.
CAT entrance exam: Prerequisite to probability questions
Know this before probability permutations and combinations
Factorial
Basics of Set Theory
CAT study material: References to Study (Theory)
For probability problems and concepts
NCERT Class 11 Maths
Mission CAT (YouTube, Link: https://www.youtube.com/watch?v=99zr_7OogIM)
CAT study material: References to Practice probability questions
How to prepare quantitative Aptitude for CAT by Arun Sharma.
CAT Funda (CAT PYQs; YouTube:://www.youtube.com/watch?v=nTqInfzG5yw)
CAT probability questions with solutions pdf.
Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
CAT 2024 Syllabus Topic: Strategy to prepare “Data Sufficiency in LR (Part-1)” for CAT
CAT Exam: About Topic/ Formulas
While the genre of Data Sufficiency is unique, the structure is not – all Data Sufficiency questions are structured the same, with three key elements:
The question stem: may or may not contain important facts
The statements: always two statements
The answer choices: always the same.
Sample Question based on PYQs on Data Questions for CAT/ MBA Entrance Exam:
Q1. In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?
I. Sixty per cent of the top academic performers were not athletes.
II. All the top academic performers were not necessarily athletes. [CAT 2007]
Statement I alone is sufficient to answer this question but statement II is not sufficient to answer this question.
Statement II alone is sufficient to answer this question but statement I is not sufficient to answer this question.
None is sufficient to answer this question.
Both statements together are sufficient to answer this question.
Solution: [A]
Statement I: 40% of top academic performers are athletes = 10.
Statement II: does not provide any relevant information.
So the answer is (1).
Tips and Tricks for CAT 2024
Ask yourself the following questions (starting with the statement (1):
Is the information in the statement (1) alone enough to answer the question?
Is the information in a statement (2) alone enough to answer the question?
Can an answer be given if with the information from statements (1) and (2) both?
A statement is sufficient when it guarantees exactly one (and only one) answer to the question.
You do not have sufficient information if more than one answer is possible
Do not solve the question after the moment you know the unique answer can be found thereafter.
If the answer from one statement alone and by combining both statements can be found out then the answer will be from one statement alone.
Stick to the basics.
CAT entrance exam: Prerequisite
Direction Sense, Ranking , Coding-Decoding, Inequality , Cubes, and various other basic topics of Logical Reasoning .
References to CAT Study (Theory)
LRDI byNikhil K. Sinha
(YouTube link: https://www.youtube.com/watch?v=Fw6oK3aWuXw)
CAT References to Study (Practice)
Verbal and Non-Verbal Reasoning by R S Agrawal.
MBA Entrance Previous years Papers and Sample Papers.
https://www.youtube.com/watch?v=blkzss4S0-0
Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension/Synonyms for MBA entrance )
Sample Questions:
Directions: Choose a similar word from the given options for highlighted phrase/word.
Q1. Public policy in regard to food in main economies around the world has not provided adequate incentive, and the response to emergencies like accidents is equally sad.
Acceleration
Surplus
Baiting
Encouragement
Ans: D
Explanation: The context of the sentence refers to Encouragement. Hence option D is correct.
Q2. We today can see a swing away from these stereotypes, or have they established a stranglehold on our perceptions.
Asphyxiation
Containment
Prohibiting entry
Overwhelming control
Ans: D
Explanation: Asphyxiation- it happens when someone is literally strangled. And here the context is different.
Containment: it cannot be established and hence can be eliminated.
It does not seem appropriate here.
Prohibiting entry is for physical context and not for abstract. Hence can be eliminated.
Overwhelming control is a perfect fit here. Hence option D is correct.
CAT Exam Important Topic: CAT preparation strategy on “ English Synonyms for CAT (Part-1)”.
One needs to be careful about the context.
Every word in the English language has a lot of different meanings.
To learn synonyms one can create word families
Beautiful- Gorgeous, Dazzling, Splendid, Magnificent
Important- necessary, vital, critical, Indispensable
One can also take reference from root words.
One can learn synonyms by logically associating a word with a sentence or a situation.
One needs to carefully observe the sentence's meaning as a whole.
Another method is to eliminate the other options.
Practise more and more exercises.
Prerequisite to CAT Exam Preparation
Vocabulary
Parts of Speech
References to Study (Theory)
Wren and Martin
Made Word Power Easy
CATking.in (https://www.youtube.com/watch?v=qXw3syyd_Ak)
CAT preparation: References to Study (Practice)
Big Book of Synonyms and Antonyms – English (Maple Press)
CAT Previous years Papers and other MBA Entrance Exams.
CATKing.in (YouTube; Link: https://www.youtube.com/watch?v=qXw3syyd_Ak&t=6s )
We will be back with Day 40 tomorrow. Do practice and be focused.
Thank you! All the best!
Frequently Asked Questions (FAQs)
1. How many questions come from probability in CAT?
On average, in the quantitative aptitude section of the CAT exam, you might expect to see around 2 to 4 questions related to probability. This is a rough estimate based on historical data up until 2024.
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Questions related to CAT
Have a question related to CAT ?
A score of 64 marks in CAT would likely fall around the 85th percentile depending on the difficulty of the exam and the overall performance of candidates in this year.
So,it is highly unlikely that you will receive a call from any of the IIMs as the required percentile for an IIM call is typically much higher, usually ranging from 90% and above, especially for top IIMs like Ahmedabad, Bangalore, and Calcutta.
If you are looking for MBA programs, consider exploring other B-schools that may have lower cut-offs for admission.
Here are some B-schools that may have lower cutoffs for admission:
SOIL Institute of Management: Has a CAT cut-off of 75 percentile
T. A. Pai Management Institute (TAPMI), Manipal: Has an expected CAT cut-off of 85+
Great Lakes Institute of Management (GLIM): Has an expected CAT cut-off of 85+
MICA: Has an expected CAT cut-off of 85+
S.P. Jain Institute of Management and Research (SPJIMR), Mumbai: Has a CAT cut-off of 85 percentile
Shailesh J. Mehta School of Management (SJMSOM), Mumbai: Has a CAT cut-off of 97.5 percentile
Others are IIT Bombay, IIT Kharagpur, IIT Roorkee, JBIMS, XIMB, and GIM.
Now coming to your academic background which often calculated as a weighted average based on the importance of each component different b school has different criteria for it.
You can use predictor tool for prediction of most accurate information of col
leges
sadafreen356 12 December,2024
To get admission into the NAARM MBA program , which is officially called a PGDM-ABM (Post Graduate Diploma in Management - Agri Business Management), candidates need to apply online, take the CAT or CMAT entrance exam, followed by a shortlisting based on their scores, and then appear for a Group Discussion (GD) and Personal Interview (PI) on campus; the final selection is based on a combination of their entrance exam score, performance in GD/PI, and academic record, with a strong emphasis on agricultural business related skills and experience.
Reservation criteria is same here as other MBA colleges set by government of india i.e
Scheduled Caste (SC): 15% of seats
Scheduled Tribe (ST): 7.5% of seats
Economically Weaker Section (EWS): 10% of seats
Other Backward Classes (NC-OBC): 27% of seats for candidates belonging to the “non-creamy” layer
The CAT cutoff percentiles for the 2024-26 PGDM-ABM batch at the ICAR-National Academy of Agricultural Research and Management (NAARM) are as follows:
General: 75.14
EWS: 38.00
NC-OBC: 44.16
SC: 72.980
for a NAARM MBA PREPARATION interview (specifically their PGDM Agri-Business Management program), focus on thoroughly researching NAARM's curriculum, emphasizing your agricultural background and business acumen, practicing answers to common MBA interview questions, and showcasing your passion for the agri-business sector, while also being ready to discuss your career goals aligned with NAARM's focus on rural development and sustainable agriculture practices.be genuine with your answers.
sadafreen356 05 December,2024
Hello Varun,
Based on your CAT raw score and profile, here's a breakdown of your potential calls and your chances for different institutes:
1. GIM Goa, GLIM Chennai, IMT Ghaziabad, IMI Delhi:
-
GIM Goa
: With a score of 55, GIM typically looks for candidates with a higher percentile. However, you may still get a call if your overall profile, including your academic background (93.8% in Class 12, work experience), is strong.
-
GLIM Chennai
: GLIM has a competitive cutoff, but with a solid academic record and work experience, there may be a chance, especially if you belong to a diverse background.
-
IMT Ghaziabad
: Your chances with a score of 55 are slim, as IMT usually looks for a higher percentile. However, if you have an impressive profile and high academic scores, there may still be a slim possibility.
-
IMI Delhi
: Similar to IMT, IMI Delhi has high cutoffs and competitive selection criteria. However, work experience and other factors like diversity can sometimes offset a lower CAT score.
2. IIM SAP (Special Admission Program) :
-
The
IIM SAP
is typically for candidates with significant work experience or other unique factors. Your 14 months of work experience could be beneficial, but your CAT score of 55 is on the lower side, making it unlikely to receive an IIM SAP call. However, if you have other outstanding features in your profile (e.g., exceptional academic performance, leadership qualities, etc.), you might still stand a chance.
3. Other Possible Calls :
-
UPES Dehradun
: Known for considering work experience and unique profiles, UPES could be a potential option for you.
-
Bimtech Noida
: You could expect a call here, considering your work experience and overall profile.
- XIMB Bhubaneswar : This institute also considers profiles with good work experience, and you may stand a chance despite your score.
Overall, you can expect a call from institutes that weigh work experience and academic performance heavily, but you should also be prepared for lower-tier institutes in terms of CAT score cutoffs. Ensure you target institutes that match your profile for better chances.
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 08 December,2024
Hello,
Some of the popular coaching institutes in Pune for CAT preparation include:
TIME (Triumphant Institute of Management Education)
The institute is well known for its structured approach, expert faculty, and comprehensive study material. Offers both classroom and online programs. It has a very good success record and also provides several mock tests, workshops, and test series.
Career Launcher
Provides both online and offline courses for CAT preparation. The institute is known for its focused approach and quality study material. Personalized mentoring and mock tests.
IMS Learning Resources
- This is one of the oldest and most repute institutes for CAT preparation.
- Well known for the all-around study material, mock tests, and online resources.
- Classroom, online, and hybrid courses available
BYJU's (Pune Center)
- Well known for their personal and interactive methods of coaching.
- Both online and offline modes available.
- It consists of live sessions, one-on-one mentoring, and extensive practice material.
Mentors' Academy
- Personal attention and individual learning is the emphasis
- Range of courses and mock tests are offered.
- Known for its success in helping students get into top B-Schools.
Excel Academy
- Classroom coaching, test series, and study materials
- Known for their attention to individual needs and small batch sizes.
These institutes, both classroom coaching and online options, will vary, so it's all up to you. Some points to be kept in mind before one selects the institute are faculty experience, success rate, mock tests available, and if they offer personal support or not.
Deepti Singh 04 December,2024
Hello aspirant,
Here below I am providing you the name of some of the top CAT coaching institutes in Pune:
- Learnopedia Academy Pvt Ltd
- My Tayaari Institute
- Acs Academy
- Career Development Academy
- Mahendras Educational
- Bulls Eye
- Excel Academy
Thank you
Hope it helps you
Sajal Trivedi 03 December,2024
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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