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Ace the CAT Exam with Mensuration, Binary Logic, and PYQs on Parajumbles Proficiency - Day 45
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Hello, CAT 2024 candidates! The CAT Exam 2024 is coming up on November 24, and the admit card will be soon available in the first week of November. We’re currently on Day 45 of Careers360's 60-day preparation plan, focusing on geometry and mensuration. Key topics include the properties of shapes, important area and volume formulas, and problem-solving techniques. Practice regularly, manage your time well, and use diagrams to aid understanding. Don’t forget to download the Geometry and Mensuration questions PDF for additional practice. This article also includes Mensuration questions, other arithmetic questions, binary logic questions, and CAT parajumbles with solutions. Good luck with your preparation!
This Story also Contains
- Part-1: Quantitative Aptitude for CAT exam
- Part-2: Logical Reasoning and Data Interpretation:
- Part-3: VARC
Part-1: Quantitative Aptitude for CAT exam
Important Concept/Formula Used in Mensuration CAT Questions
CAT Geometry Mensuration (Prism)
Figures under Prism
- Cubes
- Cuboids
- Right Circular cylinder
- Symmetric figures with top and bottom identical
Important formulae related to Prism:
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 Now- Volume = Area of base x height
- Lateral Surface Area = Perimeter of base x height
- Total Surface Area = LSA + 2x Area of base
CAT Previous Years Questions on Mensuration (Prism).
Q1. CAT Mensuration Geometry Questions with Solutions are given below:
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio 1: 1: 8: 27: 27. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to: [CAT 2017]
- 10
- 50
- 60
- 20
Ans: [2]
Let the Volumes of smaller cubes be 1, 1, 8, 27 and 27; their respective sides will be 1, 1, 2, 3, and 3.
Therefore, Total Surface Area of these five smaller cubes = 6(12+ 12+ 22+ 32+ 32) = 144.
The volume of Original Cube = 1+ 1+ 8+ 27+ 27 = 64 and side will be 4.
Surface Area of Cube = 6x 16 = 96
Percentage increase in the area = (48/96) x 100= 50%
Q2. Geometry and mensuration questions for CAT pdf can be downloaded. The question is given below:
A room has floor size of 15*6 sq.cm. What is the height of the room, if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls? [IPMAT 2020]
1.12cm
3.24cm
4.29cm
2.5cm
Ans: [1]
Let height be ‘h’
According to given condition:
Area of base+ roof = Area of four walls
2(15x 6) = 2h (15+ 6)
⇒ h = 90/21= 4.29 cm
CAT Exam Important Topic: Strategy to Prepare Mensuration (Prism) and mensuration CAT questions on prism.
CAT Mensuration (Prism)
- Understand the difference between 2-D and 3-D figures.
- For any regular solid; Number of faces + Number of vertices = Number of edges + 2
- Length of the longest rod that can be kept inside a rectangular room is = √(L2 + B2 + H2)
- Practice previous years questions to know the pattern of the questions and concepts involved.
CAT entrance exam: Prerequisite to Mensuration CAT Questions
- Geometry
- Basics of trigonometry
CAT study material: References to Study (Theory) Mensuration (prism)
- NCERT Mathematics Class 9 and 10
- Rodha (YouTube, Link: https://www.youtube.com/watch?v=HhtLt2JZKu4)
References to Practise Mensuration CAT Questions
- How to prepare quantitative Aptitude for CAT by Arun Sharma.
- Mission CAT (https://www.youtube.com/watch?v=HKecEB0PF3U)
- Practice Sample Papers
Part-2: Logical Reasoning and Data Interpretation:
Binary Logic questions for CAT
Important Concept/Formula Used
Truth-teller: always speak the truth and all the statements spoken by him/her are true.
Lie-teller: always tells lies and all the statements spoken by him/her are false.
Switcher/Alternator: keeps on shifting between lies and truth that keep on changing on an alternate basis which means if his first statement is true, second is false and vice versa.
After understanding the concept/formula used, we can attempt Binary logic CAT questions and make their concepts stronger. Aspirants can also refer to binary logical reasoning CAT questions pdf
Binary Logical Reasoning Questions for CAT/ MBA Entrance Exam:
Q1. Three persons A, B and C gave these statements:
A said, either Freedom Party or Green Party won the elections.
B said, Freedom Party won.
C said, neither Freedom Party nor Green Party won the elections.
Of these persons, only one person is wrong. [SNAP 2019]
Who won the elections?
Freedom Party
Green Party
Data Inadequate
None of these
Ans: [1]
Assume that A is telling lies, then statements made by him will be false which implies that neither Freedom Party nor Green Party won the election.
It will make B’s statement false. It violates the condition of being only one person wrong.
Our Assumption is wrong.
A is telling the truth and hence B is also telling the truth. It implies that the Freedom Party won the election.
Q2. Ramesh, Suresh and Mahesh are three people who belong to three different tribes of people. The three tribes are known as knights (those who always speak the truth), Knaves (who always lie) and switchers (those who alternatively speak the truth and lie). Ramesh said that Suresh is not a switcher. Mahesh said that Ramesh is a switcher. [SNAP 2015]
Who among the following is Knave?
- Suresh
- Ramesh
- Mahesh
- Cannot be determined
Ans: [A]
R: Suresh is not a switcher
M: Ramesh is a switcher
Case 1: If R is a Knight;
S must be a Knave and M is a switcher.
M is saying ‘Ramesh is a switcher’ is a wrong statement here which is a possibility.
Case 2: If R is a Knave
S is a switcher which implies that M is also a Knave.
This case of having two Knaves is a false case.
Case 3: If R is a switcher;
M is telling the truth which implies that S is a Knave.
From the three cases, it is clear that Suresh is a Knave.
Topic: Strategy to prepare “Binary Logic (Part-1)” for CAT
- Divide the questions in levels of difficulties
- Learn the concept of binary logics (Boolean Algebra)
- Binary Logics are all about making assumptions and dealing with conflicts/ Contradictions
- Find trigger statement to start the question with
Like: I am a liar; I am a truth teller, I am an alternator etc.
- A person who declares himself a ‘not a truth teller’ is always an ‘alternator’ and the statement ‘I am not a truth teller’ is always a true statement.
- A person who declares himself a ‘Liar’ is always an ‘alternator’ and the statement ‘I am a liar’ is always a false statement.
- A person who declares himself an ‘alternator’ can never be a ‘truth teller’.
- A person who declares himself ‘not an alternator’ can never be a ‘liar’.
Pre-requisite:
- Puzzles
- Boolean Algebra
References to Study (Theory)
- LRDI by Nishit K. Sinha
- CAT Funda (YouTube link: https://www.youtube.com/watch?v=z69ElNGKPFs)
- Shankar’s Aptitude (https://www.youtube.com/watch?v=hZOe3FaoM1w&list=PLo0WP7XtW0AjhsxpLj2Z7TvJex118ibUC)
References to Study (Practice)
- Verbal and Non-Verbal Reasoning by R S Agrawal.
- MBA Entrance Previous years Papers and Sample Papers.
- Riya Agrawal (YouTube: https://www.youtube.com/watch?v=dFYBSEVH6GE)
- https://www.youtube.com/watch?v=EeJ25Wd2lH0
Part-3: VARC
Topic: Strategy to Prepare “Para-jumbles” for CAT-2023 (Part-1)
Sample Problems based on CAT/MBA Entrance Exams/ Parajumbles questions with solutions:
Q1-CAT Sentence Rearrangement: The French Revolution
A. The French Revolution created a vision for a new moral universe: that sovereignty resides in nations; that a constitution and the rule of law govern politics; that people are equal and enjoy inalienable rights; and that church and state should be separate.
B. The French Revolution invented the modern revolution —the idea that humans can transform the world according to a plan—and so has a central place in the study of the social sciences.
C. It ushered in modernity by destroying the foundations of the “Old Regime”—absolutist politics, legal inequality, a “feudal” economy (characterized by guilds, manorialism, and even serfdom), and an alliance of church and state.
D. That vision is enshrined in the Declaration of the Rights of Man and Citizen of 1789, whose proclamation of “natural, imprescriptible, and inalienable” rights served as the model for the 1948 United Nations Universal Declaration of Human Rights.
ADBC
BADC
ACBD
BCAD
Ans. Option (D)
Explanation: Sentences C and D start with "it" and "that" respectively and can be hence ruled out as starting sentences for the paragraph.
Sentence A talks of a vision. Sentence D starts with “That vision?. So D should follow A. Only options (a) and (d) have this arrangement.
Sentence B is a general premise that the French Revolution invented the modern revolution.
Sentence C talks of how the revolution brought in modernity by destroying the foundations of the Old Regime. We can see that there is a link between sentences B and C- both talk of "modernity". C follows B.
Sentence A talks of a “new moral universe? while Sentence C talks of the old regime. So again, A follows C.
Q2- CAT Parajumbles: Indian Village Culture and Polity
Patrilineal ownership of lands and the culture of dowry attached to it have turned daughters into bad debts.
The control of such castes on local politics aggravates masculine hubris.
The bigotry of our village culture and polity is intrinsically linked to a control of land and agriculture.
Land makes certain castes ‘kingly’ in rural communities
DBCA
DABC
CDBA
ADBC
Ans. Option (c)
Explanation: Sentence C talks of the intolerance that marks the village culture and polity. We see that this is the main idea of the paragraph.
Sentence D talks of some castes being considered “kingly? in rural communities. Sentence C talks of the control of “these castes? on local politics and how it aggravates masculine pride. So, C comes after D. Both of these sentences substantiate the idea of bigotry that is made by sentence C.
Sentence A talks of the patrilineal system of passing ownership of lands and system of linking dowry to land ownership turning daughters to be regarded as “bad debts”. This sentence substantiates the point made by sentence C.
Hence according to the given question option (c) is correct.
Tips and Tricks for CAT
- Find the central theme of the passage by reading all the sentences quickly to understand the flow of the paragraph.
- Look for the opening and closing sentence.
- A closing scene is the one that has a conclusion and most of the time starts with therefore, thus, hence etc.
- Opening sentence usually starts with a person’s name or establishes a scene.
- Try to weave the sentences together by taking hints from time/ chronology/ events etc.
- Sentences with full forms come first, followed by the sentence with abbreviations.
- Ideas always precedes the examples. Sentences that start with a connective or a transition word are almost never introductory sentence
- Transition words are words used by the author to shift one idea in a sentence to another.
Pre-requisite
- Basic idea of sentence structure.
- Knowledge of basic grammar rules.
- Reading speed should be good and I am able to understand the idea of the passage.
References to Study (Theory)
How to Prepare for Verbal Aptitude for CAT by Arun Sharma (9th Edition)
References to Study (Practice)
- https://bodheeprep.com/cat-parajumbles-questions-solutions-practice
- CAT Previous years Papers.
- CAT Sample Papers.
We will be back with Day-46 tomorrow. Do practice and be focused.
Thank You. All the best.
Frequently Asked Questions (FAQs)
Q: What should I focus on when reading a passage for VARC?
A:
Focus on finding the central theme, identifying opening and closing sentences, and understanding the flow of ideas using transition words.
Q: What is a truth-teller in logical reasoning?
A:
A truth-teller is someone who always speaks the truth; all their statements are true.
Q: How can I determine the longest rod that will fit in a room that is rectangular in shape?
A:
With L, B, and H standing for the room's length, width, and height, the length is determined using the formula: √(L² + B² + H²).
Q: What is the method for figuring out a prism's volume?
A:
Volume = Area of base × Height is the formula used to determine a prism's volume.
Q: What types of figures are included in Prism?
A:
The figures consist of symmetrical forms with the same top and bottom, cubes, cuboids, and right circular cylinders.
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Have a question related to CAT ?
Hello,
To get admitted to the Institute of Management Studies (IMS), BHU, for an MBA in 2026, you must clear the CAT entrance exam. For that you need to fill out the application form of the CAT in August 2026, which you can get on the Official CAT website
I hope it will clear your query!!
Hello
You can get all the papers on the Careers360 website. To access the paper and download it for practice, just visit here:
https://design.careers360.com/articles/nift-cat-2024-question-paper-with-solutions
Hope it will help you!!
Hello dear candidate,
Yes, you have a very good chance of getting a BPT seat with 488 out of 600 and TS EAMCET rank of 14,000 under the ST category.
As the cut off of BPT for ST category students are generally between 25,000 to 45,000 ranks, depending upon the college and you have TS EAMCET rank of 14,000.
Thank you.
If you got 802 marks in Telangana Intermediate and belong to the ST category, you have a fair chance to get admission in a BPT course in 2025, but it depends on the college and cut-off. Most BPT colleges in Telangana ask for 12th marks in Physics, Chemistry, and Biology, and some also use the TS EAMCET rank for admission. The cut-off for ST students is usually lower than for general students, but it changes every year. It is better to check the previous year’s cut-offs of the colleges you want to apply to.
Hello, Getting shortlisted for IIM Lucknow or IIT Bombay (SJMSOM) with your profile is challenging, primarily due to your 58% in Class 10th, which significantly impacts the composite score calculation for both institutes. While your 98 percentile CAT score is excellent, and your 24 months of work experience, B.Com (Hons) background (providing academic diversity, especially for IIM-L), and KVS National player status are valuable additions, top IIMs and IITs heavily weigh consistent academic performance. Your 74% in 12th is also on the lower side. IIM Lucknow places substantial weight on 10th and 12th marks, making a call quite difficult despite your strengths. You likely have a relatively better, though still uncertain, chance at IIT Bombay, as their weighting might be slightly less penalizing for past academics compared to IIM-L, and your high CAT score is a major factor. However, the low 10th score remains a significant hurdle for both prestigious institutions.
I hope you found this information helpful and for study related queries you can ask in careers360 app, Have a great day and!
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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