Amity University-Noida MBA Admissions 2026
Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.
Hello CAT 2024 candidates, On November 24, the CAT exam 2024 for MBA admissions 2025–2027 will take place. In this CAT 2024 60-day preparation guide series of Careers360, we will discuss the strategies on CAT Questions on Circles, Games and Tournaments and antonyms for day 43 that can help you prepare well and crack the CAT entrance test 2024. Students can download the Geometry: Circles questions and answers pdf.
This article specifically includes circle questions and answers, Game and tournaments puzzle solving questions, and PYQs on antonyms. Students can also refer to circles questions and answers pdf. CAT Preparation 2024 in 60 days
Important Concept/Formula Used in circle questions for CAT exam
Circle questions and answers are based on:
Sector and Segment
Areas related to Sector and Segment
Tangent, Secant and Chord
Congruency of Circles
Cyclic Quadrilateral
CAT Previous Year Questions On Circle (Geometry):
CAT circle questions with solutions are given below:
Q1. CAT Questions on Circles:
AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to [CAT 2019]
Ans: [1]
APB and AQB are semicircular Arc

Angle APB = angle AQB = 90o
Using Pythagoras
AP2 = 102 - 62
⇒ AP = 8cm
⇒ AQ = AP/2 = 4cm
Again, Using Pythagoras
QB2 = 102 – 42
⇒ QB = 9.1 cm (Approx)
Q2. CAT Questions on Circles are given below:
ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then the value of ∠BCD (in degrees) is [TITA, CAT 2017]
Solution: 90 degrees
See the diagram above (As per question)

angle (BDC) = angle (BAC) = 300 (angles made by same arc on same side of the arc are equal)
Also, OD = OC (Radius of circle)
So, angle (ODC) = angle (OCD) = 300
Now, angle (BOC) = 1800 - angle (DOC) = 1800 – 1200 = 600 (Linear pair angles)
angle (BCO) = angle (OBC) (since OB= OC; radii)
angle (BCO) = (1800 – 600)/2 = 600
Also,
angle (BCD) = angle (OCD) + angle (OCB) = 300 + 600 = 900
Answer: 90 degrees
Tips to solve circle questions:
Learn Important Properties of Circle
Area = πr2, r is the radius of circle
Circumference = 2πr
Length of Arc = θ/360× 2πr; θ is the angle made by arc at the centre.
Two circles are congruent if they have equal radii.
Learn Properties related to Chord
Properties related to Cyclic Quadrilateral
Sum of opposite angles is 180 degrees.
Properties related to Tangents and Secants

Practice CAT previous years questions to know the pattern of the questions and concepts involved.
Practice Similar questions.
CAT entrance exam: Pre-requisite to circle reasoning questions
CAT study material: References to Study (Theory) Geometry: Circle reasoning questions
References to Practice circle questions for CAT exam
Circle questions and answers
CAT 2024 Syllabus Topic: Strategy to prepare “Games and Tournaments (Part-2)” for CAT
Tips and Tricks for CAT Games and Tournaments through Previous Years Questions from CAT/ MBA Entrance Exam:
Passage: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row. [CAT 2017]
Question1: If the queen is at c5, and the other pieces are at positions c2, g1, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.
2
3
4
5
Application Deadline: 10th March | Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025
Highest Package 27.25 LPA | Top 100 Average package 16.65 LPA | AACSB Accredited | Ranked 52 by QS International
Ans: [c]
CAT Tip 1: Draw an 8x8 matrix and Arrange Queen first.
CAT Tip 2: Arrange the other pieces and try to join them diagonally, vertically or horizontally.

Clearly, four pieces are under attack.
Passage: Ten players, as listed in the table below, participated in a rifle shooting competition comprising 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,…, players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10

The following information is known about Rounds 1 through 6:
The following information is known about Rounds 7 through 10:
[CAT 2019]
Q.1 What were the scores of Chen, David, and Eric respectively after Round 3?
3, 3, 0
3, 3, 3
3, 6, 3
3, 0, 3
Answer: 2
Q.2 Which three players were in the last three positions after Round 4?
Hansa, Ikea, Joshin
Bala, Chen, Gordon
Bala, Ikea, Joshin
Bala, Hansa, Ikea
Answer: 1
Q.3 Which player scored points in a maximum number of rounds?
Ikea
Chen
Amita
Joshin
Answer: 1
Q.4 Which players scored points in the last round?
Amita, Chen, Eric
Amita, Bala, Chen
Amita, Eric, Joshin
Amita, Chen, David
Answer: 1
Solution:
CAT Tip 1: Tabulate given information
R1 | R2 | R3 | R4 | R5 | R6 | Total after R6 | R7 | R8 | R9 | R10 | Total after R10 | |
A | 7 | NP | NP | NP | NP | 1 | 8 | 7 | 0 | 0 | 3 | 18 |
B | 1 | 1 | NP | NP | NP | NP | 2 | 0 | 0 | 3 | 0 | 5 |
C | 0/3 | 3/0 | 0 | NP | NP | NP | 3 | NP | 1 | 1 | 1 | 6 |
D | 3/0 | 0/3 | 0 | 3 | NP | NP | 6 | NP | NP | 0 | 0 | 6 |
E | 0 | 0 | 3 | 0 | 0 | NP | 3 | NP | NP | NP | 7 | 10 |
F | 0 | 0 | 7 | 0 | 3 | 0 | 10 | NP | NP | NP | NP | 10 |
G | NP | 7 | 0 | 7 | 0 | 3 | 17 | 0 | NP | NP | NP | 17 |
H | NP | NP | 1 | 0 | 0 | 0 | 1 | 0 | 3 | NP | NP | 4 |
I | NP | NP | NP | 1 | 1 | 0 | 2 | 1 | 7 | 7 | NP | 17 |
J | NP | NP | NP | NP | 7 | 7 | 14 | 3 | 0 | 0 | 0 | 17 |
CAT Tip 2: Analyze the total after round 6 and round 10 (Easy Finings)
B must be scored 1and 1 in R1 and R2 respectively
G must have scored 0 in R7
D must score 0 in R9 and R10
E must score 7 in R10
J must score 7 and 7 in R5 and R6 both
CAT Tip 3: Use Additional Information and fill the table simultaneously(shown in red colour)
Top 3 performaces awarded 7, 3 and 1 in each round.
In R1; only A can get 7. So, in R6 A will get 1.
I will get 1 in each of the round R4 and R5 (Since in R6, A get 1)
H will get 1 in R3
G must score 7 in R2 and R4. Also scored 3 in R6. ( Since G can not score in consecutive rounds)
F scored 7 in R3. E scored 3 in the same round.
F scored a 3 in R5 and D scored a 3 in R4 (Solving puzzle)
A scored 3 in R10 since 7 is scored by E
C must score 1 in each of rounds R8, R9 and R10
I should have scored 1, 7 and 7 in R7, R8 and R9 respectively. So, A will score 7 in R7.
J score 3 in R7; H scored 3 in R8; B scored 3 in R9.
The final Table will look as shown above.
CAT entrance exam: Prerequisite
CAT References to Study (Theory)
CAT References to Study (Practice)
CAT Exam Important Topic: Strategy to Prepare “Antonyms (Part-2)” for CAT-2024
Sample Problems on Antonyms from CAT/MBA Entrance Exams:
Q1: In the following question, out of the four alternatives, select the word opposite in meaning to the given word.
Intriguing
Banal
Riveting
Comforting
Absorbing
Answer: A
Explanation:
‘Intriguing’ meaning is “arousing one's curiosity or interest, fascinating”
Tip for CAT Antonyms: The word is an adjective so the answer should be an adjective.
Comforting (adj.): serving to alleviate a person's feelings of grief or distress
Riveting (adj.): completely engrossing
Absorbing (adj.): intensely interesting
Banal (adj.): so, lacking in originality as to be obvious and boring.
So, the correct answer is option A.
Q2: In the following question, out of the four alternatives, select the word opposite in meaning to the given word.
Revive
Defibrillate
Torpefy
Recuperate
Dead
Answer: B
Explanation:
Revive (v.): to restore consciousness.
Torpefy (v.): to make (someone or something) lifeless.
Recuperate (v.): recover from illness.
Defibrillate (v.): to restore the heart to a normal rhythm.
Dead (Noun): unconsciousness or apparent death.
Tip for CAT Antonyms: The word is a verb. So, the answer should be option B (Dead is not a verb)
So, the correct answer is option B.
CAT 2024: Pre-requisite
CAT Exam: References to Study (Theory) Antonyms
Made Word Power Easy
BodhBridge
(https://www.youtube.com/watch?v=idFKTCWQihI&t=35s)
CAT Exam: References to Practice Antonyms questions
Newspaper readings (The Hindu/ Times of India)
CAT Previous years Papers and other MBA Entrance Exams.
Knowation (YouTube; Link: https://www.youtube.com/watch?v=zIsFke7zJqs
Practice, stay focused, and we'll be back tomorrow with Day 44.
Thank you. All the best!
On Question asked by student community
Check your devices and email; you may still have the soft copy of the Admit card. If not, don't panic, the CAT 2025 admit card may not be a huge requirement after the exam; the CAT scorecard is usually asked for the admission formalities.
Hello,
Here are some top colleges accepting XAT and CAT exams :
Top colleges accepting CAT:
IIMs (All Indian Institutes of Management)
FMS Delhi
SPJIMR Mumbai
MDI Gurgaon
IIT Bombay (SJMSOM)
IIT Delhi (DMS)
IIFT
IMT Ghaziabad
JBIMS Mumbai
Top colleges accepting XAT:
XLRI Jamshedpur
XIMB Bhubaneswar
IMT Ghaziabad
Great
Hi ,
can you please specify the question like in NIT trichy are you looking for admission in B. tech program .
If yes for B. tech program then JEE main exam is necessary and the cut off for each branch may vary.
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy
Hi there,
A female candidate with a CAT percentile of 67.97 and low sectional scores should target private and tier-2/3 B-schools that accept overall CAT scores in the 60–70 percentile range and have flexible sectional criteria.
Some suitable options include AIMS Institute Bangalore, Doon Business School Dehradun, Christ Institute of
Hi dear candidate,
Although, the older and prestigious IIMs require 97 to 99 percentile which is not applicable in your case. The IIM Rohtak and IIM Shillong might be your closest calls with historically cut off range around 91 to 93 percentile in CAT especially with strong hold for female
Ranked among top 10 B-Schools in India by multiple publications | Top Recruiters-Google, MicKinsey, Amazon, BCG & many more.
Industry Internship Training
NAAC A++ Accredited | Ranked #12 by NIRF
MBA Admissions Deadline 28th Feb'26 | UGC Approved Programs | Near 100% Placement Record | Up to 100% Scholarships | Highest CTC 21.32 LPA
Applications Deadline - 23rd March 2026 | Offers full-time PGP in International Master in business (IMB) Equivalent to MBA under following specializations Marketing, HR, Operations, and many more
Application Deadline: 10th March | Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025