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Hello CAT 2024 aspirants, On November 24, the CAT exam 2024 will be given for MBA admissions from 2025-2027. In this CAT 2024 60 days preparation guide series of Careers360, we will discuss the strategies for triangle questions for day 41 that can help you prepare well and crack the CAT entrance test 2024. Students can download the geometry questions and answers pdf.
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This article includes triangle questions, geometry questions for CAT, Data sufficiency questions for CAT, and PYQs on synonyms. Geometry is a very vast topic and includes many concepts and formulas. Students can refer to geometry and mensuration questions for CAT pdf. CAT Preparation 2024 in 60 days
Important Concept/Formula Used in CAT questions on triangles. Concepts used in Triangles questions are given below:
Question 1: From a triangle, ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is. [CAT 2017]
500/√3
225/√3
275/√3
250√3
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Geometry solved questions for CAT are given below:
Solution: (A)
Medians divides a triangle into 6 equal areas.
Area of triangle GBC = Two parts
Area of triangle ABC = 6 parts
Area of remaining portion = 6 parts – 2 parts = 4 parts
Area of Triangle ABC Using Heron's Formula: [s = (40+ 25+ 35)/2 = 50]
A = ss-as-bs-c = 5050-4050-2550-35,
A = 250√3
Area of remaining portion = 4 (250√3)/6= 500/√3.
Question 2: Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with a diameter of BC. Let BPC be an arc of a circle centred at A and lying between BC and BQC. If AB has a length of 6 cm then the area, in sq cm, of the region enclosed by BPC and BQC is [CAT 2017]
9π- 18
18
9
9π
Geometry test for CAT: Triangle Questions for CAT with Solutions are given below:
Solution: (B)
We need to find the area of the shaded region.
Area of shaded region = Area of Semicircle BCQC - Area of segment BPCP
Also BC = 6√2 (using Pythagoras)
Area of Semicircle BCQC = [π (3√2)2]/2 = 9π
Area of segment BPCP = Area of quadrant ACPBA - Area of triangle ABC = 6π2/4 - 6 x 6/2 = 9π- 18
Area of shaded region = 9π - (9π- 18) = 18
CAT Exam Important Topic: Strategy to Prepare Triangles (Geometry CAT Questions) and triangles questions
Learn Important Properties of Triangle
Sum of the length of any two sides > third side.
Difference between the lengths of any two sides of a triangle < third side.
Side opposite to the greatest angle will be the largest and the side opposite to the least angle is the smallest.
The sine rule: a/sin A = b/sin B = c/sin C = 2R (Where, R = circumradius.)
The cosine rule: a2 = b2 + c2 – 2bc cos A
This is true for all sides and respective angles.
The exterior angle is equal to the sum of two opposite interior angles.
Centroid divides medians in the ratio of 2:1.
A median divides a triangle into two parts of equal area.
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Learn Properties related to area of triangle
Area = 1/2 base × height
Area = ss-as-bs-c, where S = (a+b+c)/2
Area = rs (where r is in radius)
Area = 1/2 × product of two sides × sine of the included angle
Area = abc/4R, where R = circum radius
Practice on Congruence and Similarity of triangles.
Learn Pythagoras Triplets (helps in saving time)
Eg: [3, 4, 5], [ 24, 10, 26], [7, 24, 25] etc
Divide the Triangle into different Sections based on the concepts used and practice accordingly.
CAT study material: References to Study (Theory)
Geometry aptitude questions on triangles
How to prepare quantitative Aptitude for CAT by Arun Sharma. Below are the given youtube videos links to practice CAT questions on triangles:
CAT 2024 Syllabus Topic: Strategy to prepare “Data Sufficiency in LR (Part-2)” for CAT
Tips and Tricks to Prepare for Data Sufficiency (LR) through PYQs from CAT/ MBA Entrance Exam:
Direction:
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.
Questions 1: Five students Amit, Bhanu, Chetna, Devendra and Elena were the only ones who participated in a debate competition. They were ranked based on their scores in the contest. Devendra got a higher rank as compared to Elena, while Bhanu got a higher rank as compared to Chetna. Chetna’s rank was lower than the median. Who among the five got the highest rank?
I. Amit was the last rank holder.
II. Bhanu was not among the top two rank holders. [Based on CAT 2007]
Solution: [D]
CAT Tip 1: Collect the information from the problem paragraph
D> E
B> C
Rank of C is either 4 or 5 (Chetna’s rank was lower than the median)
CAT Tip 2: Is Statement I alone sufficient?
Amit is last.
Either D or B can be on top.
Two possible answers are there. So, the statement I alone is not sufficient.
CAT Tip 3: Is Statement II alone sufficient?
Bhanu is not among the top 2.
Bhanu is either 3 or 4.
Either A or D can be on top.
Two possible answers are there. So, statement II alone is not sufficient.
CAT Tip 4: Are Statement I and Statement II together sufficient?
Amit is last; Either D or B can be on top.
Bhanu is not among the top 2; Bhanu is either 3 or 4.
Either A or D can be on top.
From these two, we can say D is at the top.
Therefore, we can find answers using both statements together.
Questions 2: “On which day of the week did Akash reach Goa?”
Statement (1): Akash’s brother Sumit reached Goa a day before Akash.
Statement (2): Akash’s father reached Goa on Thursday which was two days later than the Sumit. [Based on PYQs]
Solution:
Tip 1: Is Statement I alone sufficient?
S reached a day before A.
No certain information is given.
So, the statement I alone is not sufficient.
Tip 2: Is Statement II alone sufficient?
A’s father = Thursday
S = Tuesday
No information about A can be deduced. So, statement II alone is not sufficient.
Tip 3: Are Statement I and Statement II together sufficient?
S reached a day before A.
A’s father = Thursday
S = Tuesday
A will reach on Monday.
Therefore, we can find answers using both statements together.
CAT entrance exam: Prerequisite
Blood Relation, Direction Sense, Ranking, Coding-Decoding, Inequality, Cubes, and various other basic topics of LR.
Basics of Data Sufficiency.
References to CAT Study (Theory)
LRDI by Nishit K. Sinha
(YouTube link: https://www.youtube.com/watch?v=LkvOu3oUymg )
References to Study (Practice)Data Sufficiency Questions
Verbal and Non-Verbal Reasoning by R S Agrawal.
MBA Entrance Previous years Papers and Sample Papers.
CAT Exam Important Topic: Strategy to Prepare “Synonyms (Part-2)” for CAT-2024
Sample Problems on Synonyms
Directions: Choose a similar word from the given options for the highlighted phrase/word.
Question 1: Find a similar word to EMBEZZLE
Misappropriate
Balance
Remunerate
Clear
Ans. Option (A)
Explanation: embezzle comes with the suffix ‘bezzle’ which means the act of stealing.
Also, we need negative connotations as misappropriation has a negative connotation. And from the given options, option (a) has a negative connotation. Rest 3 words have a positive connotation.
Question 2: Find a similar word to WILE
Destroy
Ruse
Urge
Comply
None of these
Ans. Option (B)
Explanation: wile means a trick or stratagem meant to fool, trap or entice.
Ruse means a trick or clever plan
Tips and Tricks to Solve CAT Questions on Synonyms:
Break down the typical word into two. This will lead to the relevant option.
Familiarize yourself with tricky words.
Distinguish a word in positive, negative, or neutral connotation. This will lead to making the right choice.
Associate a word with a previously known similar type of word. This will also give an idea of its connotation.
Sometimes similar type of words is given. Make the right choice according to the context in which it is used.
It is essential to observe which word is contextually right and why. This will help in the elimination of the wrong options.
CAT 2024: Prerequisite
Vocabulary
Parts of Speech
CAT exam: References to Study (Theory)
Made Word Power Easy
Study Buzz: YouTube
CAT exam: References to Study (Practice)
Big Book of Synonyms and Antonyms – English (Maple Press)
CAT Previous years Papers and other MBA Entrance Exams.
(YouTube; Link: https://www.youtube.com/watch?v=PiN521XFNd0
Practice, stay focused, and we'll be back tomorrow with CAT Preparation Day 42. 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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