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Mastering Quadrilaterals and Polygons, Games and Tournaments Puzzles, Antonyms, and PYQs- Day 42
Edited By Irshad Anwar | Updated on Sep 19, 2024 01:25 PM IST | #CAT
Hello CAT 2023 aspirants, On November 26, the CAT exam 2023 will be given for MBA admissions 2024-2026. In this CAT 2023 60-day preparation guide series of Careers360, we will discuss the strategies on Quadrilateral and Polygons questions for CAT exam for day 42 that can help you prepare well and crack the CAT entrance test 2023. As you prepare for CAT 2023, don't forget to focus on mastering quadrilaterals & polygons CAT questions and answers, as they are integral to the Quantitative Aptitude section. Students can download the geometry questions and answers pdf. CAT Preparation 2023 in 60 days
Part-1: Quantitative Aptitude for CAT exam
Important Concept/Formula Used in Quadrilateral and Polygons questions
Quadrilateral and Polygons
- Types of Quadrilaterals.
- Areas related to different quadrilaterals.
- Properties
- Basics of Polygons (Regular).
- Area related to the polygon.
- Polygon Formula:
- The sum of interior angles of a polygon with “n” sides =180°(n-2)
All the aspirants need to solve quadrilaterals & polygons cat questions and answers to have a good command on this topic. Here, we have provided the quadrilaterals & polygons cat questions and answers for the practice in the form of previous year questions which will be really helpful for the students. Apart from these questions, To excel in CAT, it's essential to practice a variety of questions, especially quadrilaterals & polygons CAT questions and answers, to strengthen your geometry skills.
CAT Previous Years Questions on Quadrilateral and Polygons:
Q1. Problems on quadrilaterals with answers are given below:
In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is [CAT 2018]
18√3
32√3
12√3
24√3
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download NowSolution: (B)
Area of parallelogram ABCD = 72 = CD ×AP
9AP=72
AP = 8 cm
In right-angled triangle APD, AP2 + PD2 = AD2
On solving, we get
PD=8√3
Thus, Area of triangle APD = 1/2 AP×PD = 1/2×8×8√3 = 32√3
Q2. Regular Polygon Questions
The number of sides in a regular polygon is ‘m’ times the number of diagonals in it. What is the interior angle of this polygon in terms of m? [TITA, based on CAT PYQ]
Solution:
Measure of an interior angle of a regular polygon = [(n-2)1800]/n
Number of diagonals in an n-sided regular polygon = [n(n-3)/2]
Also, n = m times number of diagonals
n/m = number of diagonals
So, n/m = n(n-3)/2
On solving, we get
n = (2+ 3m)/m
Therefore,
Interior angle = (n-2)180/n = ((2+ 3m)/m-2)180/(2+ 3m)/m = ((2+ m)/m)180/(2+ 3m)/m= (2+ m)180/(2+ 3m) degrees
CAT Exam Important Topic: Strategy to Prepare for “ CAT Geometry (Quadrilateral and Polygons)
Quadrilateral questions strategy:
Learn Important Properties of Quadrilaterals
Area = 1/2 (product of diagonals) × (sine of the angle between, them)
A parallelogram circumscribed about a circle is a rhombus.
Median (For a trapezium) = 1/2 × sum of the parallel sides (median is the line equidistant from the parallel sides).
Learn Properties related to diagonals
Properties of a Regular Polygon
Number of diagonals in an n-sided regular polygon = [n(n-3)/2]
Measure of an interior angle of a regular polygon = [(n-2)1800]/n
Measure of an exterior angle of a regular polygon = 3600/n
Practise CAT previous years questions to know the pattern of the questions and concepts involved.
Practise Similar problems on quadrilaterals with answers and polygons questions and answers.
In the final stages of CAT preparation, revisiting quadrilaterals & polygons CAT questions and answers can boost your confidence and accuracy in geometry-related topics.
CAT entrance exam: Prerequisite to Quadrilateral and Polygons
Basics of trigonometry
Basics of Triangles
CAT study material: References to Study (Theory)Quadrilateral and Polygons
NCERT Mathematics Class 9 and 10
Rodha (YouTube, Link: https://www.youtube.com/watch?v=TZadcVDti64 )
CAT Funda (https://www.youtube.com/watch?v=0Pu_bQjot1M )
CAT study material: References to Practice quadrilateral questions and answers and Regular Polygon Questions
How to prepare quantitative Aptitude for CAT by Arun Sharma.
CAT Questions on Polygon (Link: https://www.youtube.com/watch?v=_l0wPqRgfy04 )
Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
Games And Tournament Questions In CAT is a topic that demands a strategic approach and logical thinking to solve complex problems in the CAT exam. CAT aspirants should allocate time for extensive practice of Games and Tournaments Questions In CAT to enhance their Logical Reasoning skills. In the CAT exam, Games And Tournament Questions In CAT often challenge candidates with intricate scenarios that require careful analysis.
CAT 2023 Syllabus Topic: Strategy to prepare “Games and Tournaments (Part-1)” for CAT
Important Concepts/ Formula Used in Games and Tournaments
Round Robin Format:
Total number of matches in a single round robin = nC2, where N is a number of teams.
total wins + (total ties/2) = total number of matches.
Knock-Out Format:
Total number of matches = Number of teams – 1
The player ranked the highest plays the player ranked the lowest. The second-ranked player plays the second-last-ranked player and so on.
The CAT exam often includes challenging CAT games and tournaments questions, which test your logical and analytical skills. To perform exceptionally in the CAT DILR section, you must practise a variety of CAT games and tournaments questions to hone your problem-solving abilities.
Previous Years Questions on Games and Tournaments from CAT/ MBA Entrance Exam:
Six players – Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round, every player shot an arrow at a target. Hitting the centre of the target (called bull’s eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull’s eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three.
A player’s total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after the completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing. [CAT 2019]
The following facts are also known.
- Tanzi, Umeza and Yonita had the same total score.
- Total scores for all players, except one, were in multiples of three.
- The highest total score was one more than double the lowest total score.
- The number of players hitting the bull’s eye in Round 2 was double that in Round 3.
- Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.
Q.1 What was Zeneca's total score?
23
24
21
22
Ans: [2]
Q2. What was the highest total score?
24
21
23
25
Ans: [4]
Q3. Which of the following statements is true?
Xyla’s score was 23.
Xyla was the highest scorer.
Zeneca was the highest scorer.
Zeneca’s score was 23.
Ans: [2]
Q4. What was Tanzi's score in Round 3?
3
5
4
1
Ans: [4]
Solution:
Player | Bull’s Eye Scored till 3rd round |
T | 1 (Played round 4) |
U | 2 (Played round 4 and 5) |
W | 0 (Played till round 3) |
X | 3 (Played all rounds) |
Y | 1 (Played round 4) |
Z | 2 (Played round 4 and 5) |
Information given in the question and above information can be tabulated as
Total Hit bull’s Eye score till round 3 should be 9 (After counting R4, R5 and R6 played)
Total Hit bull’s eye score in round 2 can be either 1 or 2.
If Hit bull’s Eye scores in R3 =1, then R2 must have 2, and R1 should have 6 which is not possible since W has not scored any hit bull’s eye.
So, the total Hit Bull’s score in R3 = 2, R4= 4, R3 = 3; x =5 (only possibility)
All empty spaces must have a value of 5. (Since R2 have 4 hit bull’s eye score)
After this value of y and z cannot be 5. So, U must have 5 in R3.
The table will look like this
Total of T, U and Y must be multiple of 3.
Possible values for A = 15, 18
If A =18; Value of T in R3 = 4; Value of U in R1 = 5(Not possible)
If A =15; Value of T in R3 = 1; Value of U in R1 = 2; Value of Y in R1 = 2 (Correct)
Also, W must have a minimum score (Let it is m) and X must have maximum possible score let it be n (must be greater than 22).
As n= 2m + 1
m = 12; n = 25
But if m = 11, m = 23 (which is not possible as only one of the all-total scores is not multiple of 3)
Thus n = 25 and m = 12
As Z has four scores of 5 so his 5th score will be either 1 or 4. But it cannot be 1 as T’s score was 1.
Now the complete table will be as
Tips and Tricks for CAT Games and Tournaments
- Develop creative thinking through games and creative activities.
- Do solve puzzles every day.
- Learn new skills.
- Number of Teams/Players in knockout tournaments will be in multiple of 4.
- There can not be any tie matches in Knock-out tournaments.
CAT 2023 candidates must familiarise themselves with different types of CAT games and tournaments questions to adapt to the exam's unpredictability.
CAT entrance exam: Prerequisite
Basic Knowledge of Sports
References to CAT Study (Theory)
LRDI by Nishit K. Sinha
Crack U (YouTube link: https://www.youtube.com/watch?v=fZIx-bnpNO0)
References to Study (Practice)
Verbal and Non-Verbal Reasoning by R S Agrawal.
MBA Entrance Previous years Papers and Sample Papers.
Rodha (YouTube: https://www.youtube.com/watch?v=Oy9ERJEboWY)
https://www.youtube.com/watch?v=1t4e0EpU12A
Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
Sample Problems based on CAT/MBA Entrance Exams:
Directions: Choose the word opposite in meaning from the given options for highlighted phrase/word.
Q1: Due to the recent fallen prices of petrol, the common class has to deal with a lot of budget issues.
Raised
Increased
Slanted
Upright
Ans. Option (B)
Explanation: according to the context of the sentence, the most suitable word or antonym word can be increased.
Q2: Find the opposite word of FRAUDULENT
Candid
Direct
Fortnight
Genuine
Ans. Option (D)
Explanation: the only possible word that means opposite to the given word is an option (d). Other words do not fit in the context.
CAT Exam Important Topic: Strategy to Prepare “Antonyms (Part-1)” for CAT-2023
- Antonyms are contextual.
- Focus on the root words.
- Learn antonyms by logically associating a word with a sentence or a situation.
- Elimination of wrong options.
- Eliminate answer choices that have no clear antonym.
- Observe positive and negative words. It is possible to discern every word with a positive, negative, or neutral meaning.
- It is preferable to choose the word which matches the degree of the word in the sentence.
- Practise more and more exercises.
CAT 2023: Pre-requisite to Antonyms
Vocabulary
Parts of Speech
CAT exam: References to Study (Theory)
Made Word Power Easy
CATking
CAT exam: References to Study (Practice)
Newspaper readings (The Hindu/ Times of India)
CAT Previous years Papers and other MBA Entrance Exams.
(YouTube; Link: https://www.youtube.com/watch?v=PiN521XFNd0 )
We will be back with Day 43 tomorrow. Do practice and be focused.
Thank you! All the Best!
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Questions related to CAT
Have a question related to CAT ?
Hello Ashish,
Yes, you can get admission to MBA programs at IISWBM without a CAT score, but only for certain courses. Note that IISWBM has MBA programs under the University of Calcutta and flagship courses like MBA (Day) or MBA-HRM typically require a CAT score. Other programs like the PGDM or Executive MBA/Course may have other entrance examinations on which consideration would be made, or considerations may be based on merit, and of course work experience. Always run any eligibility detail checks with the official IISWBM (https://www.iiswbm.edu/) website or The IISWBM prospectus.
gopi 30 June,2025
Hello,
Yes, a state (Delhi) NC-OBC certificate is valid for CAT 2025 , but it must be in the central government format (for appointment to posts under Government of India).
Also, it should be issued after 31st March 2025, as required by IIMs. If your certificate meets these conditions, it will be accepted.
Hope it helps !
Prachi Kumari 28 June,2025
GIBS Business School in Bangalore accepts multiple national and state-level entrance exam scores for admission to its PGDM program. You can apply using scores from exams like CAT, MAT, XAT, CMAT, GMAT, ATMA, or various state-level CETs.
The admission process typically considers your entrance exam score along with your academic record, performance in the group discussion and personal interview, and any work experience you may have. For the BBA program, admissions are generally based on your Class 12 marks and do not require entrance exam scores.
If you're planning to apply, it's a good idea to keep your exam score, academic documents, and personal statement ready for the selection rounds.
OISHEE BANERJEE 24 June,2025
If your son’s first preference is CSE, then Amrita Bangalore clearly leads among the three, simply because CSE opens more doors in terms of placements, internships, and future-proof careers. Amrita is also NAAC A++ and has a strong reputation, especially for CSE. Category 2 is also manageable fee-wise compared to higher categories.
VIT Chennai is a decent campus, and their ECE program is solid, but Category 5 means much higher fees and very low chance of branch upgrade later. CSE at VIT Chennai would have been more competitive here — but ECE at that fee tier is not as strong a deal unless your son has a strong interest in core electronics.
Manipal Bangalore (MIT Bengaluru campus) is a newer campus. ECE there is still developing in terms of placements and faculty compared to the main Manipal campus. Unless your son strongly prefers Bangalore or is getting some advantage here like scholarships or internship access, it doesn't stand out above Amrita.
So, recommendation: Go with Amrita Bangalore CSE (Category 2). It balances a strong branch with a decent campus and better long-term potential in the tech industry. If your son is open to core electronics and you’re okay with the higher cost, VIT Chennai is fine, but still comes second to CSE at Amrita.
All the best!
OISHEE BANERJEE 22 June,2025
hi,
Yes, with a NEET score of 317 and being from Bihar with OBC category, you still have chances to get a seat. For BDS, getting a government seat may be difficult because the cutoffs are usually higher. But you can try for private BDS colleges, especially in the mop-up and spot rounds.You can get a seat in private BAMS colleges in Bihar, and maybe in semi-government colleges if cutoffs drop this year.
Kishan Bhakat 20 June,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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