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Aspirants for the CAT exam in 2023, The CAT exam 2023 will be offered on November 26 in preparation for MBA admissions from 2024 to 2026. The strategies on mensuration: pyramid questions for CAT exam for day 46 will be covered in this 60-day preparation guide series for the CAT 2023 exam by Careers360. These strategies can help you prepare effectively and pass the CAT entrance exam 2023. Students can download the mensuration questions and answers pdf.
Pyramids questions for CAT exam are also an important part of mensuration and thus students should be thorough with the topic as well. CAT Preparation 2023 in 60 days
Important Concept/Formula Used in Pyramid Questions for CAT (mensuration )
CAT Mensuration: Pyramids Formulas
Figures under Pyramid
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Important formulae related to Prism:
Frustum of a Pyramid
Q1. CAT geometry mensuration questions on pyramids are given below:
The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, the length of each side being 20 cm. The vertical height of the pyramid, in cm, is [CAT 2019, Slot 2]
Ans: [1]
For better understanding, see the below diagram
Side of square = side of equilateral triangle = 20 cm.
Slant height (L) of pyramid = altitude or perpendicular bisector of the base of equilateral triangle
L = √(202+102) = 10√3 cm
So, from the diagram
L2 = h2 + 102
⇒ h2 = L2 - 102
⇒ h2 = 300 - 100
⇒ h = 10√2 cm
Q2. CAT menstruation questions on pyramids are given below:
A right circular cone, of height 12 ft, stands on its base which has a diameter of 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With π = 22/7, the volume, in cubic ft, of the remaining part of the cone is: [CAT 2018, TITA]
Solutions for Pyramid questions for MBA entrance exams are given below:
Ans:
Volume of frustum = Volume of larger cone – Volume of smaller cone
Using the concept of similar triangle
(Radius of smaller cone)/(Radius of larger cone)= (height of smaller cone)/(height of larger cone)
⇒ Radius of smaller cone (3412)
⇒ Radius of smaller cone = 1 ft
So, Volume of frustum = π/3 (42 x 12 – 12 x 3) = 198 cubic ft
CAT Exam Important Topic: Strategy to Prepare “CAT Geometry Mensuration (Pyramids)” for CAT
CAT entrance exam: Prerequisite to mensuration: pyramids questions for MBA entrance exams
CAT study material: References to Study Theory for pyramids (mensuration)
References to Practice CAT mensuration questions on pyramids
CAT 2023 Syllabus Topic: Strategy to prepare “Binary Logic (Part-2)” and binary logical reasoning CAT questions pdf.
Tips and Tricks for Binary Logic CAT Questions through Previous Years Questions from the CAT/ MBA Entrance Exam
Q1. Binary Logic Examples with Questions and Answers are given below:
The EDI rounded up Riya, Aryan, and Shovik yesterday because one of them was suspected of keeping drugs. The 3 suspects gave the following statements after intensive questioning:
Riya: I’m innocent.
Aryan: I’m innocent.
Shovik: Aryan is the guilty one.
Who kept the drugs among the three persons, if only one of the statements will be true?
Solutions: [1]
Binary Logic Tip 1: Assume any of the given statements is truth and check the validity of the statement
Assume Shovik is a true-teller.
So, we can see that Shovik's statement of Shovik is correct. It also makes the statement given by Riya is also a truth and the statement made by Aryan is false.
So, 2 statements are correct which is a violation of the given condition.
Binary Logic Tip 2: Statement which was earlier assumed to a truth, consider it a false statement and check the validity of the statement
Statement of Shovik is considered a false statement.
It makes the statement of Aryan a true statement and the statement given by Riya is a false statement. Two statements are wrong in this case.
and the statement made by Aryan is false.
Therefore, Riya is the one who kept drugs.
Q2. CAT Binary Logic Questions and Answers are given below:
Mohan went to an Island on which there were three tribes of people. People from one of the tribes always spoke the truth. People from the second tribe always lied. People who belonged to the third tribe spoke the truth and lied alternately. The Island had only 3 fruits i.e. apple, mango and banana. Mohan found three people X, Y and Z asked them about their favourite fruits.
Their responses were as follows:
X: I like apples. Y likes mango
Y: Z likes mango. X likes bananas
Z: I like apples. X likes bananas
If it is known that X, Y and Z belonged to different tribes and each one of them liked a different fruit, then answer the following questions.
Who likes apples?
Solution: [b]
CAT Binary Logic Tip 1: Assume any of the persons is a truth teller and check the validity
Assume Y is a truth-teller (always speaks the truth).
Conclusion: Z likes mango; X likes bananas, so Y must like apples.
CAT Binary Logic Tip 2: let’s see if the statements by the other people validate or contradict our assumption.
X says I like apples (wrong) since we know that Y likes apples.
His second statement is that Y likes mangoes (wrong) since Y likes apples.
Since both statements of X are wrong, he must be a liar.
Now, see whether Z is an alternator or not:
Z’s first statement is wrong since Y likes apples.
Z’s second statement is that X likes bananas. This is true.
Hence our assumption is correct.
Final Conclusion:
Y (Likes Apple) is the truth-teller
Z (like mango) is the alternator
X (like bananas) is the liar.
CAT entrance exam: Prerequisite
Puzzles
Boolean Algebra
Concept of truth-teller, liar and alternator
References to CAT Study (Theory)
LRDI by Nishit K. Sinha
gofudu (YouTube link: h https://www.youtube.com/watch?v=EeJ25Wd2lH0&t=583s)
References to Study (Practice) Binary Logic
Verbal and Non-Verbal Reasoning by R S Agrawal.
MBA Entrance Previous years Papers and Sample Papers.
Shankar’s Aptitude (YouTube: https://www.youtube.com/watch?v=eSgM3GZQbM8&list=PLo0WP7XtW0AjhsxpLj2Z7TvJex118ibUC&index=2)
(https://www.youtube.com/watch?v=WwAUypn8SZg&list=PLo0WP7XtW0AjhsxpLj2Z7TvJex118ibUC&index=3)
(https://www.youtube.com/watch?v=fshqYb9kX04&list=PLo0WP7XtW0AjhsxpLj2Z7TvJex118ibUC&index=4)
CAT Exam Important Topic: Strategy to Prepare “Para-jumbles” (Part-2) for CAT
Sample/ Practice Questions on Para Jumbles for CAT/MBA Entrance Exams:
Direction: The four sentences (labelled A, B, C, D) 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:
Q1: CAT Parajumbles Questions with Solutions are given below:
The study suggests that the disease did not spread with such intensity, but that it may have driven human migrations across Europe and Asia.
The oldest sample came from an individual who lived in southeast Russia about 5,000 years ago.
The ages of the skeletons correspond to a time of the mass exodus from today's Russia and Ukraine into western Europe and central Asia, suggesting that a pandemic could have driven these migrations.
In the analysis of fragments of DNA from 101 Bronze Age skeletons for sequences from Yersinia pestis, the bacterium that causes the disease, seven tested positive.
DNA from Bronze Age human skeletons indicate that the black plague could have emerged as early as 3,000 BCE, long before the epidemic that swept through Europe in the mid-1300s.
54123
51243
12345
12435
Ans. Option A
Explanation: CAT Parajumbles Trick: Try to find starting statement (About phrase) and conclusion statement (Last statement)
Sentence 5 can be the best opening sentence. Sentence 5 talks about a DNA study and Sentence 4 explains the findings of the study. So, sentence 4 follows sentence 5. Sentence 1 also relates to the study—its conclusion. So, sentence 1 follows sentence 4. Both sentence 2 and sentence 3 relate to the ages of the skeletons tested. Sentence 3 is more general and a better concluding sentence than sentence 2, so sentence 3 follows sentence 2.
Q2: CAT Para jumbles Questions with Solutions are given below:
1. But now we have another group: the unwitting enablers.
2. Democracy and high levels of inequality of the kind that has come to characterize the United States are simply incompatible.
3. Believing these people are working for a better world, they are, actually, at most, chipping away at the margins, making slight course corrections, ensuring the system goes on as it is, uninterrupted.
4. Very rich people will always use the money to maintain their political and economic power.
2314
1234
2413
2431
Ans. Option C
Explanation:
CAT Parajumbles Trick: Statement 1 cannot be an opening statement (since starting with ‘but’)
Sentence 2 can be the best opening sentence. Sentence 4 explains sentence 2 and so sentence 4 follows sentence 2. Sentence 4 talks of ‘very rich people as a group, while sentence 1 talks of ‘another group’, the unwitting enablers. Hence, sentence 1 follows sentence 4. The reference to ‘these people in 3 could only be to the unwitting enablers. So, 3 can be the concluding sentence.
Q3: CAT Questions on Para jumbles with Solutions are given below:
Complex computational elements of the CNS are organized according to a “nested” hierarchic criterion; the organization is not permanent and can change dynamically from moment to moment as they carry out a computational task.
Echolocation in bats exemplifies adaptation produced by natural selection; a function not produced by natural selection for its current use is exaptation -- feathers might have originally arisen in the context of selection for insulation.
From a structural standpoint, consistent with exaptation, the living organism is organized as a complex of “Russian Matryoshka Dolls” -- smaller structures are contained within larger ones in multiple layers.
The exaptation concept, and the Russian-doll organization concept of living beings deduced from studies on the evolution of the various apparatuses in mammals, can be applied to the most complex human organ: the central nervous system (CNS).
2431
2341
4321
2143
Ans. Option B
Explanation:
CAT Para jumbles Questions Trick: Statement 3 cannot be an opening statement (Starting with ‘From’, seems the statement must lie somewhere in the middle of a passage)
Sentence 4 talks of various concepts being applied to the central nervous system. Sentence 1 is about the central nervous system. 4, however, is not the opening sentence of the paragraph, as it talks of the 'exaptation' concept and 'Russian doll organisation' concept, the meaning of which is not clear from 4. 2 explains what exaptation is and 3 what Russsian doll organisation is. So, 2341 is the right order.
CAT 2023: Prerequisite
References to Study (Theory)para jumbles for CAT
References to Practice CAT Para jumbles Questions
Tomorrow we'll be back with Day 47, so practice and pay attention.
With a 59.95 percentile in CAT 2024 and ST category, you can expect calls from newer IIMs like IIM Bodh Gaya, IIM Jammu, and IIM Sirmaur, as they have lower cutoffs for reserved categories. Non-IIM options like IIT Madras (MBA), NIT Trichy (MBA), and state universities like Delhi School of Economics (DSE) might also consider your profile. Apply to institutions that prioritize diversity and offer ST reservation. Ensure your application highlights strong academics and achievements.
For more details you can visit the link given below
https://bschool.careers360.com/cat-percentile-predictor
Hi,
Based on the previous year analysis, According to your CAT 2024 percentile some of the best colleges offering MBA and PGDM course in Telangana in which you have chances to get a seat are the following
For more information about the colleges in which you have chances to get a seat you can predict using MBA college predictor tool provided below
https://bschool.careers360.com/cat-college-predictor
Hope this information will help you
Hi,
With a CAT 2024 score of 93.94 percentile, you have a good chance of getting calls from several IIMs. Here are some possibilities:
IIM Jammu
IIM Bodhgaya
IIM Udaipur
IIM Kashipur
IIM Vizag
Apart from IIMs, you can also consider other prestigious B-schools like:
Management Development Institute (MDI) Gurgaon
FMS Delhi
IIT Delhi
IIM Lucknow
IIM Indore
IIM Raipur
CAT exam is conducted every year for purpose of admission to various prestigious business school and management institutes in India. The exam is also considered among toughest entrance exams in India. The exam rats the logical skills of the candidates. You can get the college list based on your CAT score by simply visiting CAT College Predictor 2024
Hi Sonu,
Preparing for CAT 2025 through self-study requires the right study materials, a structured plan, and consistent effort. CAT Syllabus comprises of Quantitative Aptitude (QA), Data Interpretation and Logical Reasoning (DILR), Verbal Ability and Reading Comprehension (VARC).
You can get more detailed information in the mentioned website of Careers360, it will be helpful enough for preparation of CAT 2025.
If looking for online sources, you can go through few channels on YouTube like- Study Buzz, Takshzila, and Career Launcher. Apps like unacademy and Byju's can help as well.
All the best for your CAT preparation.
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