XAT- Xavier Aptitude Test 2026
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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!
Important Concept/Formula Used in Mensuration CAT Questions
CAT Geometry Mensuration (Prism)
Figures under Prism
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Important formulae related to 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]
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)
References to Practise Mensuration CAT Questions
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
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?
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
Like: I am a liar; I am a truth teller, I am an alternator etc.
Pre-requisite:
References to Study (Theory)
References to Study (Practice)
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.
Pre-requisite
References to Study (Theory)
How to Prepare for Verbal Aptitude for CAT by Arun Sharma (9th Edition)
References to Study (Practice)
We will be back with Day-46 tomorrow. Do practice and be focused.
Thank You. All the best.
The figures consist of symmetrical forms with the same top and bottom, cubes, cuboids, and right circular cylinders.
Volume = Area of base × Height is the formula used to determine a prism's volume.
With L, B, and H standing for the room's length, width, and height, the length is determined using the formula: √(L² + B² + H²).
A truth-teller is someone who always speaks the truth; all their statements are true.
Focus on finding the central theme, identifying opening and closing sentences, and understanding the flow of ideas using transition words.
Hello aspirant,
The question papers for CAT MGU University can be found on their official website, or you can also visit careers360 website for the same.
The link of which, I am attaching here,
https://university.careers360.com/articles/mgu-cat-2025
Regards
Hello Anshuman!!!
You have gotten 86% in 10th, which is a good score. 70% in graduation is not the best but decent. But the main problem is your 12th score which is 62%.
You would be already aware that the Top IIMs (BLACKI) give a big emphasis on your academic score. Let me tell you one example of IIM Ahmedabad,
According to a research i read a few days ago, in IIM Ahmedabad,
70.8%
of students has 90+ percent in 12th,
25.8%
has 80-90 percent and around
3.8%
has less than 80% with the bracket of 60-69 having only
0.26%
students of the total batch. Nearly same is the case of the other top IIMs like IIM Bangalore, IIM Calcutta, IIM Lucknow, IIM Kozhikode and IIM Indore.
Statistically, getting into these TOP IIMs is possible with 62% in 12th is possible (0.26% has done it) but practically you cannot get into these TOP IIMs unless you top the CAT exam.
See, I don't wish to dishearten or demotivate you but I wish to tell you the truth. Although the probability of you getting into these TOP IIMs is very less, but trying is better than doing nothing. You have a good score in 10th which will certainly help you. The least you could do is try your best.
My advice would be that you should not focus on these things like "Will I get top IIM" or negative talk like " I got low marks I won't qualify" etc.
The main focus should be on your preparation.
Give 100% in your preparation because that's the only thing in your hand. You can't change your 10th/12th/Graduation scores but you can put some more effort in your preparation which would certainly help to get better percentile.
Keep working hard and give your best. You might surprise yourself!!! And if not BLACKI, there are many other good colleges like FMS, MDI, newer IIMs etc.
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 !
Hello,
A NEET 2025 score of 333 marks, an All India Rank (AIR) near 3,56,000, and belonging to the SC category from Andhra Pradesh suggest a fair possibility of obtaining an MBBS seat within the state quota, especially in private medical colleges under Category A (government quota seats in private institutions).
In Andhra Pradesh, SC category cut-offs for Category A seats in private institutions generally vary from 320 to 370, influenced by the college and the counselling round. Government medical colleges tend to be more competitive, with the SC cut-off for MBBS frequently rising, often exceeding 400 marks.
Although obtaining a government MBBS seat is improbable, you stand a feasible opportunity in private medical colleges within A category (which offer lower tuition than B and C categories). In Round 2 or the Mop-Up round, you can anticipate improved opportunities, since cut-offs generally decrease when other students move to superior colleges or vacate seats.
Colleges such as NRI Medical College (Guntur), Katuri Medical College (Guntur), Great Eastern Medical School (Srikakulam), Alluri Sitarama Raju Academy of Medical Sciences (Eluru), and Fathima Institute of Medical Sciences (Kadapa) are among those where seats could become available for SC students in subsequent rounds under Category A.
Hope this helps. All the best!
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.
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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.
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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.
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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.
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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.
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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.
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