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The CAT exam 2024, scheduled for November 24, will determine MBA admissions for the 2025–2027 academic years. In the 60-day CAT preparation guide series by Careers360, we will focus on strategies, tips, and tricks for Mensuration: Sphere Questions on day 47. Utilize these methods to enhance your preparation and succeed in the CAT entrance exam. Don’t forget to download the CAT mensuration questions and answers PDF to enhance your practice
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This article includes Mensuration Questions For CAT exam, Sphere Questions for CAT ,Logical Deductions Questions for CAT and More PYQs on Parajumbles. Mensuration Questions For CAT exam is a very vast topic and students should practice all its concepts and formulas thoroughly.
Part-1: Quantitative Aptitude for CAT exam
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!
Hello aspirant,
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To know the cutoff you can visit the following link:
https://bschool.careers360.com/articles/fms-delhi-cat-cut-off
Thank you
Hope it helps you
Hello aspirant,
The only on-screen calculator that CAT permits use is a simple one. It is not permitted for you to bring the actual calculator into the center. This approach is predicated on the idea that the CAT assesses an individual's aptitude for solving challenging mathematical puzzles and making fast mental computations.
Thank you
A CAT percentile of 90 or above can strengthen your application to MICA, it is not the only factor that determines admission.MICA considers scores of CAT and MICAT which are weighted 50–50 percent for the interview call.
Strong performance in the Pshycometric test and descriptive writing increase your chances to get into mica even if you score 80 percentile.the admission is based upon whole performance including every marks.
ALL the best!!!!
Hello,
Here you can get study material for CAT :
https://bschool.careers360.com/download/ebooks/cat-quantitative-aptitude-questions-answers-pdf
Hope it helps !
Hello aspirant,
A timetable is essential if you are preparing for the CAT in addition to your college coursework. It will give you an idea of how long it will take you to finish your syllabus and then set aside the appropriate amount of time for revision and mock exams. Without a set timetable, you risk taking your time and not completing your preparation as thoroughly as is necessary.
Thank you
Hope it helps you.
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