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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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Have a question related to CAT ?
CAT ( Common Addmission Test ) is for those students who want to study MBA or other post-graduation program in mangement field. Who have Bachelor's degree with minimum 50% recognised university can apply for CAT .final year graduation students are also eligible to apply for CAT exam .
Supriya 25 July,2025
The CAT (Common Admission Test) is a national-level entrance exam conducted in India for admission to MBA and other postgraduate management programs offered by the Indian Institutes of Management (IIMs) and many other top B-schools. It tests candidates on Quantitative Aptitude, Verbal Ability & Reading Comprehension, Data Interpretation, and Logical Reasoning.
The exam is important because a high CAT score opens the door to prestigious institutions like the IIMs, which are known for excellent education, high-paying placements, and global recognition
SEJAL JAIN 24 July,2025
If there's a slight variation in your name between your government ID and school marksheets, it's best to use the name exactly as it appears on your 10th or 12th marksheet while filling out the CAT form, since academic records are the primary documents used for verification during admission. However, ensure that the variation isn’t too major if it is, you might consider getting an affidavit or correction done in the future. For now, stay consistent with your academic records to avoid any mismatch during document verification after the exam.
SEJAL JAIN 24 July,2025
With a CAT rank of 5419, your percentile is around 95 to 97. This means you may not get into the top IIMs like Ahmedabad, Bangalore, or Calcutta, because they usually take students above 98 or 99 percentile. But you still have good chances at newer IIMs and other top MBA colleges.
You can get admission into IIMs like Amritsar, Raipur, Jammu, Udaipur, and Bodh Gaya. These IIMs accept students with lower percentiles, usually between 90 and 94.
Apart from IIMs, you can also get colleges like MDI Gurugram, IMI Delhi, Great Lakes Chennai, and maybe even FMS Delhi or JBIMS Mumbai depending on your category and performance in interview rounds.
You should now start preparing for the interview, group discussions, and written tests that most colleges will conduct after shortlisting you based on your CAT rank.
Here are websites you can check for cut-off and admission details:
https://www.imsindia.com/blog/cat-cutoff/
Ayush Madanpotra 18 July,2025
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
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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