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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.
CAT 2025: VARC, DILR, and Quant: MCQs & Weightages | Chapter-wise MCQs
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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
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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.
The CUSAT CAT previous year question papers are available on the Careers360 website. You can find question papers from 2012 to 2023, which can be downloaded in PDF format HERE
Additionally, the official website of Cochin University of Science and Technology (CUSAT) also provides previous year question papers. To access them, you can follow these steps:
- Visit the CUSAT official website - admissions.cusat.ac.in.
- Click on the resources tab from the homepage.
- Select the previous year's question papers from the drop-down menu.
- Select the Common Admission Test (CAT) question papers link.
- Now click on the B.Tech course.
By practicing with these previous year question papers, you can get familiar with the exam pattern, identify important topics, and improve your time management skills.
Hey Shathvika,
Let's dive deep into MBA Entrance Exams (Other than CAT)
1. XAT (Xavier Aptitude Test)
Conducted by: XLRI, Jamshedpur
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Decision Making, Verbal & Logical Ability, Quantitative Ability & Data Interpretation, and General Knowledge.
- Duration: 3 hours.
- Marks: No negative marking for General Knowledge.
Key Highlights:
- The Decision-Making section tests analytical and situational judgment skills.
- General Knowledge is evaluated during interviews, not for percentile calculation.
Official Website: https://xatonline.in
---
2. SNAP (Symbiosis National Aptitude Test)
Conducted by: Symbiosis International (Deemed) University
Eligibility: Bachelor’s degree with 50% marks (45% for reserved categories).
Exam Pattern:
- Sections: General English, Quantitative, Data Interpretation & Data Sufficiency, and Analytical & Logical Reasoning.
- Duration: 1 hour.
- Marks: Total 60 marks (MCQs).
Key Highlights:
- Specifically for admission to Symbiosis institutes like SIBM Pune and SCMHRD.
- Easy-to-moderate difficulty level.
Official Website: https://snaptest.org
---
3. CMAT (Common Management Admission Test)
Conducted by: National Testing Agency (NTA)
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Quantitative Techniques & Data Interpretation, Logical Reasoning, Language Comprehension, General Awareness, and Innovation & Entrepreneurship.
- Duration: 3 hours.
- Marks: 400 marks.
Key Highlights:
- Accepted by over 1,000 AICTE-approved institutes.
- Includes an optional Innovation & Entrepreneurship section.
Official Website: https://cmat.nta.nic.in
---
4. MAT (Management Aptitude Test)
Conducted by: All India Management Association (AIMA)
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Language Comprehension, Mathematical Skills, Data Analysis & Sufficiency, Intelligence & Critical Reasoning, and Indian & Global Environment.
- Duration: 2.5 hours.
- Marks: 200 marks.
Key Highlights:
- Held multiple times a year in PBT, CBT, and IBT modes.
- Accepted by more than 600 MBA colleges in India.
Official Website: https://mat.aima.in
---
5. NMAT (NMIMS Management Aptitude Test)
Conducted by: Graduate Management Admission Council (GMAC)
Eligibility: Bachelor’s degree with 50% marks.
Exam Pattern:
- Sections: Language Skills, Quantitative Skills, and Logical Reasoning.
- Duration: 2 hours.
- Marks: 360 marks.
Key Highlights:
- Allows three attempts, with the best score considered.
- Accepted by NMIMS and partner universities worldwide.
Official Website: https://www.mba.com/exams/nmat
---
6. IIFT (Indian Institute of Foreign Trade)
Conducted by: National Testing Agency (NTA)
Eligibility: Bachelor’s degree (final-year students can also apply).
Exam Pattern:
- Sections: Quantitative Analysis, Reading Comprehension & Verbal Ability, Logical Reasoning & Data Interpretation, and General Knowledge.
- Duration: 2 hours.
- Marks: 300 marks.
Key Highlights:
- Specifically for IIFT’s flagship MBA in International Business.
- General Knowledge plays a significant role in shortlisting.
Official Website: https://iift.nta.nic.in
---
7. TISSNET (Tata Institute of Social Sciences National Entrance Test)
Conducted by: Tata Institute of Social Sciences
Eligibility: Bachelor’s degree.
Exam Pattern:
- Sections: English Proficiency, Mathematics & Logical Reasoning, and General Awareness.
- Duration: 100 minutes.
- Marks: 100 marks.
Key Highlights:
- Focused on social sciences, HRM, and public policy programs.
- General Awareness is crucial (with emphasis on current affairs).
Official Website: https://admissions.tiss.edu
---
8. MICAT (MICA Aptitude Test)
Conducted by: MICA, Ahmedabad
Eligibility: Bachelor’s degree and a valid CAT/XAT/GMAT score.
Exam Pattern:
- Sections: Psychometric Test, Verbal Ability, Quantitative Ability, General Awareness, Divergent-Convergent Thinking, and Descriptive Test.
- Duration: 2.5 hours.
Key Highlights:
- Psychometric Test is a qualifying section.
- Specifically for MICA’s flagship PGDM-C program in Strategic Marketing and Communications.
Official Website: https://www.mica.ac.in
---
9. GMAT (Graduate Management Admission Test)
Conducted by: Graduate Management Admission Council (GMAC)
Eligibility: No specific eligibility; bachelor’s degree recommended.
Exam Pattern:
- Sections: Analytical Writing, Integrated Reasoning, Quantitative Reasoning, and Verbal Reasoning.
- Duration: 3 hours 7 minutes.
- Marks: 800 (scaled score).
Key Highlights:
- Globally recognized for MBA programs.
- Popular for Indian B-schools like ISB, SPJIMR, and Great Lakes.
Official Website: https://www.mba.com
---
10. MAH-CET (Maharashtra Common Entrance Test)
Conducted by: Maharashtra State CET Cell
Eligibility: Bachelor’s degree with a minimum of 50% marks (45% for reserved categories).
Exam Pattern:
- Sections: Logical Reasoning, Abstract Reasoning, Quantitative Aptitude, and Verbal Ability & Reading Comprehension.
- Duration: 2.5 hours.
- Marks: 200 marks (MCQs).
Key Highlights:
- Accepted by top Maharashtra B-schools like JBIMS, SIMSREE, and PUMBA.
- Known for its speed-intensive nature with 200 questions in 150 minutes.
Official Website: https://cetcell.mahacet.org
Let me know if you have any doubts regarding a specific exam or any other query.
Have a nice day !!
Hello Ayush,
K.R. Mangalam University utilizes a blend of MCQs, descriptive formats, and practical assessments to evaluate student performance. The continuous evaluation system ensures that students are assessed regularly throughout the semester, contributing to a more comprehensive understanding of their academic progress.
Hello,
Here are some simple tips to prepare for the CUSAT CAT exam:
1. Focus on Physics, Chemistry, and Maths (PCM).
2. Give equal time to all subjects.
3. Use NCERT Books as they are best for basics.
You can refer to following study materials for better practice :-
Hope it helps !
Hello there,
Yes, you can apply for CAT examination after completion of Doctor of Pharmacy (Pharm D) .
The Common Admission Test (CAT) has no restrictions regarding your educational background thus allowing you to submit your application following your completion of a Pharm. D degree.
The Common Admission Test permits candidates to take the exam after completing any undergraduate degree without any restrictions to the area of study. The professional doctoral degree of Pharm. D (Doctor of Pharmacy) functions as an equivalent to bachelor's level for CAT eligibility recognition.
Therefore, Candidates who received their Pharm. D degree can pursue the CAT exam application process based on their qualification standards.
Hope this will help!
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