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Elevate Your Skills in Coordinate Geometry, Inequalities, and Idioms and Phrases using Targeted PYQs- Day 49
Edited By Irshad Anwar | Updated on Sep 19, 2024 10:44 AM IST | #CAT
Hello CAT 2024 aspirants, The CAT exam 2024 is scheduled On November 24 for MBA admissions 2025-2027. In the continuation of the CAT 2024 60-day preparation guide series of Careers360, on day 49 we will discuss the strategies for Coordinate Geometry, Inequality and idioms and phrases Questions for CAT Exam that can help you prepare well and crack the CAT entrance test 2024. Students can download the coordinate geometry for cat pdf.
This article includes topics: Coordinate geometry questions,3-D coordinate system, Idioms and phrases questions for CAT exam, and questions on Inequalities. CAT Preparation 2024 in 60 days
Part-1: Quantitative Aptitude for CAT exam
Important Concept/Formula Used in Coordinate Geometry Questions
Formulas Used in CAT Questions on Coordinate Geometry are given below:
Distance Formula
Application of distance formula
Section Formula
Equation of line, Circle, and other geometrical figures.
Concept of slope
Distance between two lines etc
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 NowPrevious Year CAT Geometry Questions: Coordinate Geometry Questions
Q1. CAT coordinate geometry questions are given below:
The points (2, 1) and (-3, -4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9y + c = 0, then c is [CAT 2020, slot 3]
- 15
- 13
- 14
- 12
Solution: [3]
Diagonals of a parallelogram bisects each other.
So, the mid-point of (2, 1) and (-3, -4) must lie on the other diagonal also i.e. on the line x + 9y + c = 0.
Co-ordinate of mid-point of (2, 1) and (-3, -4) = {(2-3)/2, (1-4)/2} = (-1/2, -3/2)
This point satisfies x + 9y + c = 0.
So, -1/2 +9(-3/2) +c = 0
c = 14.
Q2. CAT coordinate geometry questions are given below:
A triangle ABC has an area of 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is [CAT 2018, Slot 2]
- 4√2 units
- 2√2 units
- 4 units
- 8 units
Solution: [3]
Since BC = 8 units
½ x Height x BC = 32
Height = 8 units
Since the base lies on x = 4 and has a vertical height is of length = 8 units, A can either lie on the line x = 12 or on x = - 4
So, shortest possible distance to A from the point (0,0) = 4 units
CAT Exam Important Topic: Strategy to Prepare for “Coordinate Geometry” as well as for coordinate geometry questions
CAT Questions on Coordinate Geometry
- Learn different form equations of the line.
- Slopes of two parallel lines are equal.
- y coordinate of x-axis is 0.
- x coordinate of y-axis is 0.
- If the area of a triangle is 0, then the triangle will not be formed and the points are collinear.
- Divide the problems into sub-categories while practising.
- Practice as much as you can to understand the variations in questions.
CAT entrance exam: Prerequisite to Coordinate Geometry Questions
- Basics of Geometry
- Cartesian System
- Linear Equation
CAT study material: References to Study (Theory) Coordinate Geometry Questions
- NCERT Mathematics Class 11 and 12
- Mission CAT (YouTube Channel: https://www.youtube.com/watch?v=pMfvgQCZrFs)
CAT study material: References to Practice CAT Questions on Coordinate Geometry
- How to prepare quantitative Aptitude for CAT by Arun Sharma.
- CAT Funda: YouTube (https://www.youtube.com/watch?v=P4Tpp9Fe4Ew)
- Practice Sample Papers
Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
CAT 2024 Syllabus Topic: Strategy to prepare “Inequality” for CAT
Important Concepts/Formula Used in Inequality
Set of elements with several coded relationships mentioned using the inequality symbols are as follows:
- A < B means A cannot be greater than or equal to B.
- A > B means A cannot be less than or equal to B.
- A ≤ B means A cannot be greater than B.
- A ≥ B means A cannot be less than B.
- A ≠ B means A is either greater or lesser than B.
Previous Years Questions on Inequality from CAT/ MBA Entrance Exam:
Q1. Statement: A < H > Y, Y ≤ N, N = X
Conclusion I: A = X
Conclusion II: H > N
- Only conclusion I is true
- Only conclusion II is true
- Both conclusions I and II are true
- Neither conclusion I nor II is true
- Either conclusion I or II is true
Solution: [2]
A < H > Y, it concludes that H is greater than both A and Y but we can not relate A and Y.
From 2nd and 3rd statements
Y ≤ N = X
So, from the above discussion we can not establish any relation between A and X.
Therefore, only conclusion II is true.
Q2.
Direction: Based on the information given below, answer the following questions:
A @ B, means B is greater than A
A & B, means B is smaller than A
A $ B, means B is equal to A
A # B, means B is greater than equal to A
A % B, means B is smaller than or equal to A
Statement: D @ Q $ R % S # X % U
Conclusion I: D % U
Conclusion II: R @ X
- Only conclusion I is true
- Only conclusion II is true
- Both conclusions I and II are true
- Neither conclusion I nor II is true
- Either conclusion I or II is true
Solution: [4]
Using codes rewrite the question statement.
D @ Q $ R % S # X % U
Statement:
D > Q = R ≤ S ≥ X≤ U
Conclusion I: D % U (D≤ U)
Conclusion II: R @ X (R > X)
From statement D > Q = R ≤ S ≥ X≤ U, the relation between D and U cannot be established since between D and U, both signs of ‘greater than’ and ‘less than’ are there. So, the conclusion I will not follows.
For the same reason, the relation between R and X also cannot be established.
Tips and Tricks for CAT Inequality
Make a well understanding of symbols.
Make rough diagrams while solving questions for a better understanding of codes.
Learn properties of Inequality in reasoning.
Understand the types of questions asked in Exams.
CAT entrance exam: Pre-requisite
References to CAT Study (Theory)
A new approach to Reasoning (B.S. Sijwali & S. Sijwali Arihant)
Mock Zone: MBA Preparation (YouTube: https://www.youtube.com/watch?v=K7HSUc8hv2A)
References to Study (Practice)
Verbal and Non-Verbal Reasoning by R S Agrawal.
MBA Entrance Previous years Papers and Sample Papers.
(YouTube: https://www.youtube.com/watch?v=V9UjrHAuZUw)
Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Strategy to Prepare “Idioms and Phrases questions for cat exam” (Part-1). Students can download the idioms and phrases for CAT exam pdf
Previous Years Questions on Idioms and Phrases for MBA exams
Also, idioms for CAT exam are given below -
Hear it on the grapevine:
Meaning: To hear news from someone who heard the news from someone else
E.g. I heard through the grapevine that she is leaving the flat-is it true?
Shot in the dark:
Meaning: A wild, unsubstantiated guess; also, an attempt that has little chance of success.
E.g. You can try looking for your ring but I think it’s a shot in the dark.
Zero in on something:
Meaning: Focus all attention on one thing.
E.g. Researchers are hoping to zero in on the research.
The best of both worlds:
Meaning: The benefits of widely differing situations, enjoyed at the same time.
E.g. I have the best of both worlds- an amazing family and great work.
Cut your coat according to your cloth:
Meaning: Actions should suit circumstances or resources.
E.g. We belong to a middle-class family, and we always cut our coats according to our clothes.
To step into a dead man’s shoes:
Meaning: To take over the position or role of someone who has died.
E.g. It is ill waiting for a dead man’s shoes.
Halcyon Days:
Meaning: A very happy or successful period in the past.
E.g. I remember those halcyon days when everyone was friendly in nature.
To backbite a person:
Meaning: To say mean things about a person.
For E.g. Neha always backbites her friend
If the cap fits, wear it:
Meaning: Used as a way of suggesting that someone should accept a generalized remark or criticism as applying to themselves.
E.g. I told the council members what I think and I told them that if the cap fits, they should wear it.
To make bricks without straw:
Meaning: Important and essential things.
E.g. You can’t crack the CAT examination If you have no command over verbal ability topics. You can’t make bricks without straw.
Tips and Tricks to Solve CAT Questions on Idioms and Phrases
- Understand the context in which an idiom or phrase has been used. It will help you to understand and remember a particular idiom crystal clearly.
- Prepare the list of idioms and phrases and write their meaning and context to learn them efficiently.
- Pick 5, 7, or 10 idioms out of the list and use them in your day-to-day sentences.
- If you find difficulty in learning any idiom and phrase, try relating them with the stories or things in order to ease the difficulty.
CAT 2024: Pre-requisite to Idioms and Phrases
The basic idea of sentence structure.
Good Vocabulary.
References to Study (Theory) idioms for CAT exam
200 Practical English Idioms by Alex Makar
Word Power Made Easy by Norman Lewis
References to Practice idioms and phrases questions for CAT exam
200 Practical English Idioms by Alex Makar
Word Power Made Easy by Norman Lewis
engvid.com (Web)
Tomorrow we'll be back with Day 50, so practice and stay focused.
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Questions related to CAT
Have a question related to CAT ?
Hello,
Yes, with a 622 rank in IPU CET for MBA and being a Delhi candidate, you have a good chance of getting admission in MAIT (Maharaja Agrasen Institute of Technology).
You don’t need to worry about not giving the CAT exam. IPU CET rank is enough for admission in MAIT under the CET quota.
Just make sure to keep MAIT high in your preference list during counselling.
Hope it helps !
Prachi Kumari 04 July,2025
Yes, candidates who qualify in CUSAT CAT can gain admission to various participating institutes based on their rank. These include engineering colleges associated with CUSAT, such as its own School of Engineering in Kochi, Model Engineering College, and over 20 government and private engineering colleges across Kerala like College of Engineering Thrikkaripur, Co-operative Institute of Technology Vadakara, and MG College of Engineering Thiruvallam. The final seat allotment is based on your rank and your choice of program during the counselling process.
Pradeepa P 02 July,2025
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
Hello aspirant,
With 375 marks and an AIR of around 2.6 lakh in NEET 2025, getting admission to Ayurvedic & Unani Tibbia College (AUTC), New Delhi under the state quota is quite difficult. The cutoffs for government BAMS seats in AUTC generally stay below AIR 50,000, especially for the General and EWS categories. Your score may not meet the cutoff in the first or second rounds, but you might still have a slim chance in the mop-up or stray vacancy rounds, depending on how many seats remain and how other candidates opt. If you're a Delhi domicile and have all your documents ready, you should definitely apply and fill AUTC as a top choice. It’s also good to keep backup options in other AYUSH colleges open.
OISHEE BANERJEE 01 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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