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In previous article 5, we discussed the strategy on how to prepare the Factors and Trailing zeroes, table (DI), conjunction and interjection - Day 5 of CAT preparation on the basis of the CAT syllabus. We have covered a major part of the number system questions for CAT under the CAT syllabus which includes HCF and LCM questions for CAT. The remaining number system topics for CAT will be covered in the upcoming articles. HCF and LCM CAT questions are also considered a good major chunk of CAT quants section which the students should revise. We are back with the strategic plan for Day 6 to propel our preparation to crack CAT-2024. In this article, we will be discussing strategy for the following topics along with CAT number system questions based on HCF and LCM questions for CAT. The topics in number system for CAT are very vast and need constant practice.
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CAT 2024: CAT'23 Official Question with Solutions (Slot 1, 2, 3)
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Part-1: Quantitative Aptitude for CAT 2024
HCF is the highest common divisor which divides two (or more) numbers completely.
For Example,
12 is HCF of 36 and 48.
17 is HCF of 340 and 357
3 x 22 is LCM of (3x 24 and 33 x 22)
The most common ways of finding HCF are
Prime Factorization Method:
Eg: To find HCF of 27 and 36
27 = 33
36 = 22 x 32
HCF = 32
Division Method:
Eg: To find HCF of 27 and 36
Divide 36 by 27; the remainder is 9
Divide 27 by 9; the remainder is 0.
(This process is repeated till the remainder is 0)
Least Common Multiple (LCM):
The least value which is divisible by two or more values completely, is LCM.
For Example:
72 is LCM of 8 and 9.
2184 is LCM of 8, 13 and 21.
33 x 24 is LCM of (3x 24 and 33 x 22)
The most common way of finding LCM is
Prime Factorization Method:
Eg: To find LCM of 27 and 36
27 = 33
36 = 22 x 32
LCM = 22 x 33
The two previous year CAT questions on number system (HCF and LCM)are given below:
Q1. How many pairs of positive integers x, y exist such that HCF of x, y = 18 and product of x and y = 1620? [ CAT Question Paper]
2
8
1
3
Solution: C
Let the two numbers be 18a and 18b where a and b are co-prime numbers.
Also, 18a x 18b = 1620
So, a x b = 1620/ (18 x 18) = 5
Therefore, (a, b) = (1, 5); the only possible pair in a and b.
Q2. A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour? [CAT Question Paper ]
30
24
20
60
Solution: A
Red light flashes after every 60/3=20 sec
Green light flashes after every 120/5=24 sec
Both lights will flash together if the multiples of flushing times are common
i.e. LCM (20,24) =120 sec = 2min
Thus, both lights will flash together at intervals of 120 sec= 2 minute
In 1 hour, both lights flash together 60/2 = 30 times.
Prerequisite:
To prepare for the number system for CAT exam, students must have knowledge of:
Prime, composite, and Co-primes
Factors
Multiples
The smallest number which when divided by a, b and c leaves a remainder R in each case then the number will be (L.C.M of a, b, c) + R.
The greatest number which divides a, b and c to leave the remainder R is H.C.F of (a – R), (b – R) and (c – R)
The greatest number which divide x, y, z to leave remainders a, b, c respectively is
H.C.F of (x – a), (y – b) and (z – c)
LCM of (a/b, c/d, e/f) = LCM (a, c, e)/ HCF (b, d, f)
HCF of (a/b, c/d, e/f) = HCF (a, c, e)/ LCM (b, d, f)
Practise different kinds of problems.
HCF of a and b × LCM of a and b = a × b
Apply the concepts to practise HCF and LCM questions.
Practise previous year CAT questions on number systems and LCM and HCF problems.
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References to Study (Theory):
Learn the concept of HCF and LCM from class 10 Mathematics NCERT (For Theory)
Arun Sharma: A Quantitative Approach for CAT (6th Edition)
2iim Online Learning Classroom
References to Study (Practice):
MASTER Number System for CAT and GMAT by Nishit K Sinha.
Sample Papers
CAT previous year papers
Part-2: Logical Reasoning and Data Interpretation
Topic: Data Interpretation (Spider/ Radar Graph)
In previous articles-Day 5, strategies for DI based on Bar graph, Pie chart, Table graph and Line graph have been discussed. A different kind of DI on spiders will be discussed in this article for the CAT exam. Data interpretation is a must-come topic in the CAT Exam and other management entrance exams.
DI on Spider (Radar) Graph
It consists of equiangular spokes and each spoke represents one variable. These charts contain 0 at its centre.
This is a spider chart for 5 variables.
A=70
B=58
C=5
D=15
E=25
Blue line shows the value of a commodity on 5 different parameters.
Questions Based On Spider Graph From CAT Previous Year Papers
Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects – Cost, Customer Service, Features, Quality, Reach, and Reliability.
Each of these evaluations are on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost. [CAT Question Paper 2019- slot 1]
Q1. On which aspect is the median score of the five vendors the least?
Customer Service
Cost
Reliability
Quality
Ans: (1)
The median is the mid-value. For all six parameters median is as follows:
Reliability=52-53
Reach=65
Quality=62
Features=55
Customer Service = 50 (least)
Cost =75
Q2. A vendor's final score is the average of their scores on all six aspects. Which vendor has the highest final score?
Vendor 1
Vendor 2
Vendor 3
Vendor 4
Ans: (2)
Total Score of Vendors:
Vendor 1 = (52+ 80+ 73+ 40 + 55 + 75) = 375
Vendor 2 = (40+ 58+ 70+ 45 + 42 + 80) = 335
Vendor 3 = (75+ 66+ 60+ 50+ 55+ 90) = 396
Vendor 4 = (25+ 45+ 40+ 90+ 70+ 70) = 340
Vendor 3 has the highest total and hence the highest average.
Q3. A list of all the vendors who are among the top three vendors on all six aspects is?
None of the Vendors
Vendor 1
Vendor 3
Vendor 1 and Vendor 3
Ans: (3)
Vendors in top 3 in each aspect:
Reliability = Vendor 3, Vendor 5 and Vendor 1
Reach = Vendor 1, Vendor 5, Vendor 3
Quality = Vendor 1, Vendor 2, Vendor 3
Features= Vendor 4, Vendor 5, Vendor 3
Customer Service = Vendor 4, Vendor 1, Vendor 3
Cost = Vendor 3, Vendor 2, Vendor 1
Clearly only vendor 3 appears in all the three.
Prerequisite:
To Prepare Data Interpretation (Spider graph) for the CAT 2024, a student must learn:
Percentage (Basic)
Simplification and approximation
Mean, Mode and Median
Observational Skills
References to Study (Theory):
LRDI for CAT and GMAT by Nishit K Sinha.
Crack XAT YouTube Channel
References to Study (Practice):
https://online.2iim.com
How to Prepare for Data Interpretation for CAT by Arun Sharma
CAT previous year papers
Part-3: VARCTopic: Articles And Its Uses
Article is one of the parts of speech in English grammar which is used to modify the Noun entities.
Indefinite Articles (A and An): Used with singular nouns only.
Examples:
An honest man.
A tall man.
Tomorrow a man will come to see you.
Definite Article (The): Refers to specific nouns and can be used with both singular and plural nouns.
Examples:
The man on dice is my ideal.
The Bible.
Practice Questions On Articles
Direction: Choose the correct article
Q.1 Who is _________ of England now.
the prime minister
a prime minister
Ans: A
Q2. There is _________ restaurant near my house.
a nice
nice
Q3. My grandparents live in _____________ of the city
south
the south
Ans: B
Q4. Is this _____________ Australian breed?
a
an
Ans: B
Prerequisite:
Knowledge of Verbal sound.
Knowledge of Noun (singular and Plural)
CAT Preparation Tips To Prepare Articles And Its Uses
Articles do not use uncountable nouns.
Learn the specific cases where articles should not be used
Ex: Let’s go out for dinner tonight. (Incorrect)
Let’s go out for dinner tonight. (Correct)
Articles should not be used with pronouns.
Use no Article before names of sports, subjects, nationalities, and languages.
Develop reading habits.
Practice more and more exercises.
References to Study (Theory):
Advanced English grammar by Wren and Martin (Oxford)
engvid.com (YouTube channel as well as Web)
References to Study (Practice):
Questions bank from iquanta.com
Oxford Practice Grammar (sixth edition)
How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)
We will be back with Day-7 strategy tomorrow at the same time. keep practising and be focused. Students can practice number system mock test for CAT and can also practice DILR and VARC alongside as well.
Thank You
All the best.
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Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.
But you could opt for:
Postgraduate Studies:
Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.
Specialized Master's Programs: Find any specific master's course that supports the career goal.
Professional Certifications:
Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.
Job Entry via MBA
After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.
In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.
Hello Pratik,
If your family income exceeds 8 LPA, it will affect your eligibility for the NC-OBC category under the CAT reservation rules. The NC-OBC category requires that the family income should be below 8 LPA to qualify. If you anticipate that your income will exceed this threshold, you should update your status and notify the CAT authorities .
Here's what you can do:
Email the CAT authorities
: Inform them about the potential change in your income status and request to be considered under the
General
category, if applicable. You should do this before the examination or any further processing, as your eligibility for the OBC category depends on the income criteria.
Documents and Proof
: Make sure you have a valid
OBC certificate
and any relevant documentation regarding your family income, in case they require verification. Also, be aware that if your income exceeds 8 LPA, you might need to apply under the
General
category, as the OBC-NC reservation is no longer applicable.
General Category Consideration : If your application is accepted as General, you will be evaluated based on the General category criteria, including cutoffs and ranking.
To summarize, notifying the CAT authorities is the correct approach to avoid discrepancies later, and if your income is above the threshold, you will be treated as a General candidate for the admissions process.
For more details about CAT exam you can check out an article by Careers360 whose link is given below:
Link: https://bschool.careers360.com/exams/cat
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.
Hi Shreya ,
Having a tattoo on your wrist should not create a problem during the CAT exam as long as it does not contain any content that violates exam rules , such as communication-related symbols , unauthorised messages or any text resembling formulas or answers .
For a safe side , it is recommended :
1. Inform the Invigilators : Let them know about your tattoo during the identification check , so there are no misunderstandings .
2. Follow the Guidelines : Ensure you follow all instructions regarding permissible items and dress code on the exam day .
Hope this helps you .
ALL THE BEST .
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Hello,
Yes, you can also join IIMs two years after graduation, depending upon the justification in interviews and your performance in entrance exams. If you are not sure about CAT, try those other management exams less hard:
Common Management Admission Test: Easier than CAT; 4-5 months of continuous preparation will suffice.
MAT : Much easier and takes place thrice a year.
SNAP (Symbiosis National Aptitude Test): A bit easier than CAT, apt for Symbiosis Institutes.
Xavier Aptitude Test or XAT : Hence, easier than CAT but the unique decision-making section.
Use exams like CMAT and MAT as a challenge to be competitively prepared. This can be given about 4-5 months, along with a few rounds of mock tests and smart studying.
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