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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 Sahitya
For FMS Delhi, your percentile should be 99%+ and it should be 99.5%+ to be on the safer side.
Now coming to the academics:
1. 10th marks: 75%+ are given 10 out of 10
2. 12th marks: 75%+ are given 10 out of 10
3. Graduation marks: FMS doesn't considers graduation marks for screening.
So if you have 75%+ in both 10th and 12th, you will get full marks in academic score.
To know more about FMS: FMS
Hope this answer helps! Thank You!!!
Yash Teotia 13 July,2025
Hello Ayush
This is definitely a myth that with 0 work-ex you can't get IIM ABC because freshers still get into them although the competition is brutal but if you have good academics (9/9/9) and a good CAT (99.5%+), you have a chance.
These are some other good colleges except IIM ABC which you can aim for:
TIER 1:
- IIM Lucknow
- IIM Kozhikode
- IIM Indore
- IIM Shillong
- FMS Delhi
- SPJIMR Mumbai
- MDI Gurgaon
- IIFT Delhi & Kolkata
Tier 2:
- NMIMS Mumbai
- SIBM Pune
- SCMHRD Pune
- IMT Ghaziabad
- XIM Bhubaneshwar
- GIM Goa
- TISS Mumbai
To know more about CAT: CAT by Careers360
Hope this answer helps! Thank You!!!
Yash Teotia 13 July,2025
Hello Aspirant,
With an AIR (All India Rank) of 1,60,000 in NEET and in the OC (Open Category) there is a very slim chance of getting an MBBS seat in a government medical college, especially in General Category seats through All India Quota (AIQ), but here are some options:
- MBBS in Private Colleges: You could get a seat in a private medical college through the state quota, especially in Tier 2/3 states where the cutoffs are relatively lower. The fee would be high compared to government colleges.
- BDS Seats: You have fair chances for BDS in both government & private dental colleges under the state quota.
- Deemed Universities: Some deemed universities may offer MBBS seats at this rank but the fee is exorbitantly high (15 to 25 lakhs/year).
- Management/NRI Quota: If you can afford, you can explore MBBS through management/NRI quota seats in private colleges.
- Alternatives: You can think of allied health science courses such as BAMS, BHMS, B.Sc Nursing etc., which also have good career scope.
You can also participate in state counselling rounds, as sometimes, seats remain vacant/unfilled, including mop-up rounds.
gopi 13 July,2025
Hello aspirant,
The question papers for CAT MGU University can be found on their official website, or you can also visit careers360 website for the same.
The link of which, I am attaching here,
https://university.careers360.com/articles/mgu-cat-2025
Regards
Mansi Satwani 07 July,2025
Hello Anshuman!!!
You have gotten 86% in 10th, which is a good score. 70% in graduation is not the best but decent. But the main problem is your 12th score which is 62%.
You would be already aware that the Top IIMs (BLACKI) give a big emphasis on your academic score. Let me tell you one example of IIM Ahmedabad,
According to a research i read a few days ago, in IIM Ahmedabad,
70.8%
of students has 90+ percent in 12th,
25.8%
has 80-90 percent and around
3.8%
has less than 80% with the bracket of 60-69 having only
0.26%
students of the total batch. Nearly same is the case of the other top IIMs like IIM Bangalore, IIM Calcutta, IIM Lucknow, IIM Kozhikode and IIM Indore.
Statistically, getting into these TOP IIMs is possible with 62% in 12th is possible (0.26% has done it) but practically you cannot get into these TOP IIMs unless you top the CAT exam.
See, I don't wish to dishearten or demotivate you but I wish to tell you the truth. Although the probability of you getting into these TOP IIMs is very less, but trying is better than doing nothing. You have a good score in 10th which will certainly help you. The least you could do is try your best.
My advice would be that you should not focus on these things like "Will I get top IIM" or negative talk like " I got low marks I won't qualify" etc.
The main focus should be on your preparation.
Give 100% in your preparation because that's the only thing in your hand. You can't change your 10th/12th/Graduation scores but you can put some more effort in your preparation which would certainly help to get better percentile.
Keep working hard and give your best. You might surprise yourself!!! And if not BLACKI, there are many other good colleges like FMS, MDI, newer IIMs etc.
Yash Teotia 06 July,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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