Parul University MBA Admissions 2025
Registrations Deadline- 12th June | India's youngest NAAC A++ accredited University | NIRF rank band 151-200 | 2200 Recruiters | 45.98 Lakhs Highest Package
Hello, CAT 2024 aspirants! As you study for the Upcoming exam on November 24, it's critical to concentrate on essential topics that will help you do better. On day 47, this article covers crucial topics including Mensuration Questions For the CAT exam, Sphere problems, Logical Deductions, and parajumbles. These topics are important on the CAT exam, therefore knowing them well can offer you an advantage.
Mensuration, particularly sphere-related topics, is a broad subject that requires familiarity with a variety of formulae and ideas relating to areas and volumes. Logical deductions stress your thinking abilities, thus constant practice is required. Para jumbles, in which you arrange sentences to construct logical paragraphs, test your ability to integrate ideas properly.
Make sure to thoroughly practice these topics and don't forget to get the CAT Mensuration Questions and Answers PDF for more preparation. Stay focused and keep preparing to improve your chances of passing the CAT Exam!
Part-1: Quantitative Aptitude for CAT Exam
Registrations Deadline- 12th June | India's youngest NAAC A++ accredited University | NIRF rank band 151-200 | 2200 Recruiters | 45.98 Lakhs Highest Package
Highest CTC: Rs 18.33 LPA | Average CTC: Rs 7.39 LPA | Experiential Learning | Classes by Industry Professionals | Alumni Mentorship Program
CAT Exam Important Topic: Strategy to Prepare “Mensuration (Sphere)” and CAT mensuration questions on sphere. Sphere questions and answers for CAT exam pdf download are available at the top of the page.
Important Concept/Formula Used in Mensuration Questions For CAT exam
Important formulae related to CAT Geometry Mensuration: Sphere and Hemisphere are given below:
A sphere is solid in the form of a ball with radius r.
Surface Area of a sphere = 4πr2
Volume of a sphere =4/3 πr3
Curved Surface Area of a Hemisphere = 2πr2
Total Surface Area of a Hemisphere = 3πr2
Volume of a Hemisphere =2/3 πr3
CAT Previous Year Mensuration Geometry Questions on Sphere:
Q1. Previous Year CAT Mensuration Questions are given below:
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9 π cm3. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is [TITA, CAT 2017]
Mensuration Geometry Questions with Solution are given below:
Given that the height of the cylinder is 3 cm, while its volume is 9π cm3
⟹ πr2h = 9π
⟹ r = √3 cm
See the diagram below:
x2 = 22 – (√3)2
x = 1 cm
Height of the top point of the sphere from the bottom of the cylinder = Height of cylinder + radius of sphere + x = 3+ 1+ 2 = 6 cm
Q2. Questions on CAT Geometry Mensuration are given below:
A spherical-shaped Laddoo has been placed inside an open box of the cubical shape of side 10 cm such that the sweet fit the box. A fly is sitting on one of the vertices of the cube. What is the shortest distance the fly must travel to reach the sweet? [Based on CAT PYQ]
5 cm
5(√3 – 1) cm
5(√2 – 1) cm
2.5(√3 – 1) cm
CAT Geometry Mensuration questions with solutions are given below:
Ans: [2]
Edge of cube = diameter of sphere = 10 cm
Top view of the situation:
CD = Minimum distance required
CD = AD- BC- AB = AD – BC – CD (since AB = CD; by symmetry)
CD = (AD – BC)/2 = (10√3 – 10)/2 = 5 (√3 – 1)
[Here AD = diagonal of cube = √3 x side of cube]
Tricks and Tips for CAT Geometry Mensuration and Sphere
Tricks and tips for Sphere Questions for CAT are given below:
Imagine a ball/football as a sphere and do make the analysis
See the pattern of asked Sphere Questions for CAT
Practice Hybrid questions on the sphere with cone, a sphere with cylinder, sphere inside a cube etc.
Do not confuse curved surface area and Total Surface Area.
CAT entrance exam: Prerequisite to mensuration Problems: Sphere Questions for CAT
Geometry
Basics of trigonometry
CAT study material: References to Study Theory for Sphere (Mensuration)
NCERT Mathematics Class 9 and 10
2IIM (YouTube Channel)
References to Practice CAT mensuration questions on Sphere
Mensuration Questions For CAT exam
How to prepare quantitative Aptitude for CAT by Arun Sharma.
Concept Tree: YouTube (https://www.youtube.com/watch?v=3FRFRG_GUpw)
Practice Sample Papers and previous year mensuration questions
Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation) (h2)
CAT 2024 Syllabus Topic: Strategy to prepare “Logical Connectives” for CAT
Important Rules/ Tips and Tricks to solve the questions on Logical Connectives
Rules
Logical Connectives | Given statement | Valid inference using symbol | Valid inference in words |
If | If P=>Q | ~Q=~P | Negative of the end part=> negative of starting part |
When | When P=>Q | ||
Whenever | Whenever P=>Q | ||
every time | every time P=>Q | ||
Only if | Only if P=>Q | ~P=>~Q | Negative of the start part=>negative of the end part. |
Unless | Unless P=>Q | ~Q=>P | Negative of the end part=>starting part unchanged. |
Otherwise | P otherwise Q=> rewrite as UnlessP=>Q. | ||
Either or | Either P or Q |
| Negative of any one part=> remaining part remains unchanged. |
Rewrite the given statement by putting a logical connective at the beginning of the statement if it is not already there and reverse the conditions to check the validity of the new statement.
Also check whether the negatives of both conditions still hold true.
Practice the varieties of questions based on patterns of CAT and other MBA entrance Exams.
CAT/ MBA Entrance Exam Previous Years Questions on Logical Connectives
Q1. Examine the following statements:
I. I listen to 91.9 FM only if I am in a happy mood.
II. I am never in a happy mood when I have my brother’s company.
III. Whenever I go shopping I take my brother along.
Which one of the following conclusions can be drawn from the above statements?
If I am in a happy mood, I listen to 91.9 FM.
If I am in a happy mood, I seek my brother’s company.
If I am not with my brother, then I’ll listen to the 91.9 FM.
If I am not happy I do not listen to the 91.9 FM. [Based on PYQ]
Solution: D
Only (d) can be drawn from the above statements.
If I am in a happy mood does not conclude that I will listen to 91.9 FM.
It is given that if I am in my brother’s company, I can never be in a happy mood. So, this conclusion is totally wrong.
No such relation is given
Q2. If Amit walks slower than Sumit, and Sumit walks as fast but not faster than Bhanu; then, as compared to Amit, Bhanu walks: [Based on PYQ]
slower than Amit
faster than Amit
with the same speed as Amit
Given data is not sufficient to determine
Solution: (b)
From the given information, we get the following.
Bhanu = Sumit > Amit
Bhanu walks faster than Amit.
CAT entrance exam: Prerequisite to Logical Connectives
Analytical Approach
Basics of Syllogism ism and Logical Deduction
References to CAT Study (Theory) for Logical Connectives
A new approach to Reasoning (B.S. Sijwali & S. Sijwali Arihant)
FundaMakers-CAT Preparation (YouTube link: https://www.youtube.com/watch?v=wVjpq7db4JI)
References to Practice CAT Logical Connectives
Analytical Reasoning by M. K. Pandey.
MBA Entrance Previous years Papers and Sample Papers.
PrepLadder CAT (YouTube: https://www.youtube.com/watch?v=PyJAWeMDJvg)
Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Strategy to Prepare “Para jumbles” (Part-3) for CAT-2024
Previous Years' Questions on Para Jumbles from the CAT Exam
Q1. CAT Para jumbles Questions with Solutions are given below:
The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer: (CAT 2021)
But today there is an epochal challenge to rethink and reconstitute the vision and practice of development as a shared responsibility – a sharing which binds both the agent and the audience, the developed world and the developing, in a bond of shared destiny.
We are at a crossroads now in our vision and practice of development.
This calls for the cultivation of an appropriate ethical mode of being in our lives which enables us to realize this global and planetary situation of shared living and responsibility.
Half a century ago, development began as a hope for a better human possibility, but in the last fifty years, this hope has lost itself in the dreary desert of various kinds of hegemonic applications.
Ans: 2-4-1-3
Explanation: Sentence 2 indicates the main idea of the paragraph therefore it can be used as the best opening sentence. Sentence 4 describes the development process and how it has been lost his way. Sentence 1 tells the view of today’s development. Sentence 3 contains the complete idea which has been discussed in 2. So, 2413 is the correct order.
Q2. CAT Para jumbles Questions with Solutions are given below:
The five sentences (labelled 1, 2, 3, 4, 5) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer: (CAT 2017)
One of the most dramatic examples in nature of ill wind that blows goodness is lightning.
In its aerial form nitrogen is insoluble, unusable and in need of transformation.
Lightning starts the series of chemical reactions that need to happen to nitrogen, ultimately helping it nourish our earth.
Nitrogen — an essential food for plants — is an abundant resource, with about 22 million tons of it floating over each square mile of earth.
Before plants can take life from the atmosphere, nitrogen must undergo transformations similar to the ones that food undergoes in our digestive machinery.
Ans: 5-3-4-2-1
Explanation: In the above passage, 5 is assigned as the best second opening statement. As it talked about the major idea of the passage. Then, 3 explains why it happens. 4 elaborate on this. So,5-3-4-2-1 is the right order.
Q3. Para jumbles CAT Questions with Solutions are given below:
The four sentences (labelled 1, 2, 3) below, when properly sequenced would yield a coherent paragraph. As the position of the opening sentence is already fixed (A), decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer: (CAT 2018)
Impartiality and objectivity are fiendishly difficult concepts that can cause all sorts of injustices even if transparently implemented.
It encourages us into bubbles of people we know and like while blinding us to different perspectives, but the deeper problem of ‘transparency’ lies in the words “and much more”.
Twitter’s website says that “tweets you are likely to care about most will show up first in your timeline based on accounts you interact with most, tweets you engage with, and much more.”
We are only told some of the basic principles, and we can’t see the algorithm itself, making it hard for citizens to analyse the system sensibly or fairly or be convinced of its impartiality and objectivity.
Ans: 3-2-4
Explanation: 324 is a clear sequence: all three sentences signify Twitter’s rules. 2 comes after 3, as the pronoun ‘it’ that starts 2 could only be pointed to the statement on Twitter’s website elaborated in 3.
Q4. The four sentences (labelled 1, 2, 3) below, when properly sequenced would yield a coherent paragraph. As the position of the closing sentence is already fixed (4), decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:
Including wearing a “hijab” or headscarf that is supposed to completely hide the hair.
Many Iranian women, especially in major cities, have long played a game of cat-and-mouse with authorities.
Iran’s Islamic Republic requires women to cover up in public.
With younger generations wearing loose scarves and outfits that push the boundaries of conservative dress.
Ans: 3-1-2
Explanation: 312 is the best sequence. 3 is the best opening statement. Then comes 1 as 1 completes the sentence that has been left unfinished in 3. 2 contains the full idea that has been discussed in 1.
CAT Pre-requisite
The basic idea of sentence structure.
Reading speed should be good and able to understand the idea of the passage.
Basics of Arranging the statements.
References to Study (Theory)para jumbles for CAT
Oxford Practice Grammar (sixth edition)
engvid.com (Web)
References to Practice CAT Para jumbles Questions
2 IIM (Web and Youtube)
Bodhee Prep CAT Preparation (Web and YouTube)
CAT Previous years Papers and Sample Papers.
Do your practice and stay focused; Day 48 will be back tomorrow.
Thank you!
All the best!
Mensuration is the calculation of areas, volumes, and surface areas of forms such as circles and squares. It's crucial since these types of problems often occur on the CAT exam, and understanding the formulae will help you score higher.
To do well on Sphere-related topics, concentrate on understanding the surface area and volume formula. Practice various problems and use the formulae properly. Regular practice will help you become quicker and more precise.
Logical deductions are reasoning problems that require you to draw decisions based on the information provided. To solve them, read attentively, seek for key words, and use reasoning to arrive at the solution. Practice will allow you to improve.
In parajumbles, sentences must be arranged in the correct sequence. To improve, seek for hints such as linking words and pronouns, and practice organizing sentences so they make sense.
While there is no simple shortcut, you may improve your speed by remembering important concepts and practicing often. Mock exams may also help you become faster and more comfortable.
Hi aspirant,
You can refer to the link attached above for more information on the same.
All the best!
Hi aspirant,
You can refer to the link given above for more information on the same.
All the best!
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
Identify Weak Sections:
I hope you got your answer, That's all Thank you.
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.
A career as Marketing Director is also known as a marketing expert who is responsible for the overall marketing aspect of the company. He or she oversees plans and develops the company's budget. The marketing Director collaborates with the business team to plan and develop the marketing and branding strategies for the company's products or services.
A Business Development Executive identifies and pursues new business opportunities to drive company growth. They generate leads, build client relationships, develop sales strategies, and analyse market trends. Collaborating with internal teams, they aim to meet sales targets. With experience, they can advance to managerial roles, playing a key role in expanding the company’s market presence and revenue.
Content Marketing Specialists are also known as Content Specialists. They are responsible for crafting content, editing and developing it to meet the requirements of digital marketing campaigns. To ensure that the material created is consistent with the overall aims of a digital marketing campaign, content marketing specialists work closely with SEO and digital marketing professionals.
A Sales Manager leads a sales team to meet targets, formulates strategies, analyses performance, and monitors market trends. They typically hold a degree in management or related fields, with an MBA offering added value. The role often demands over 40 hours a week. Strong leadership, planning, and analytical skills are essential for success in this career.
A marketing manager is a person who oversees a company or product marketing. He or she can be in charge of multiple programmes or goods or can be in charge of one product. He or she is enthusiastic, organised, and very diligent in meeting financial constraints. He or she works with other team members to produce advertising campaigns and decides if a new product or service is marketable.
A Marketing manager plans and executes marketing initiatives to create demand for goods and services and increase consumer awareness of them. A marketing manager prevents unauthorised statements and informs the public that the business is doing everything to investigate and fix the line of products. Students can pursue an MBA in Marketing Management courses to become marketing managers.
An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.
Digital marketing is growing, diverse, and is covering a wide variety of career paths. Each job function aids in the development of effective digital marketing strategies and techniques. The aims and objectives of the individuals who opt for a career as a digital marketing executive are similar to those of a marketing professional: to build brand awareness, promote company services or products, and increase conversions. Individuals who opt for a career as Digital Marketing Executives, unlike traditional marketing companies, communicate effectively through suitable technology platforms.
Individuals who opt for a career as a business analyst look at how a company operates. He or she conducts research and analyses data to improve his or her knowledge about the company. This is required so that an individual can suggest the company strategies for improving their operations and processes.
In a business analyst job role a lot of analysis is done, things are learned from past mistakes and the successful strategies are enhanced further. A business analyst goes through real-world data in order to provide the most feasible solutions to an organisation. Students can pursue Business Analytics to become Business Analysts.
NAAC A+ Grade | Ranked No.1 Private University in India (QS World University Rankings 2025)
Amongst top 3% universities globally (QS Rankings)
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
Deadline: 30th May'25 | MBA @ DES Pune University | Top Ranked B-School | 100% Placement Assistance
Ranked #41 amongst institutions in Management by NIRF | 100% Placement
International Tie Ups | Project Based Learning | State of the art infrastructure | Applications Closing Soon!