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Exploring Pyramids, PYQs for Binary Logical Reasoning Questions, Parajumbles Problem & Strategies, Day 46
Edited By Irshad Anwar | Updated on Oct 11, 2023 12:21 PM IST | #CAT
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
Part-1: Quantitative Aptitude for CAT exam
Important Concept/Formula Used in Pyramid Questions for CAT (mensuration )
CAT Mensuration: Pyramids Formulas
Figures under Pyramid
- Any solid which can have any polygon as its base and its edges converge to a single apex.
- Cone
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- Slant surface of a pyramid = 1/2 * Perimeter of the base* slant height
- Whole surface of a pyramid = Slant surface + area of the base
- Volume of a pyramid = area of base * height/3
Frustum of a Pyramid
- When a pyramid is cut from the top, the lower remaining part is called the frustum of the pyramid.
- Slant surface of the frustum = 1/2 * sum of perimeters of end * slant height.
- Volume of the frustum of a pyramid = Volume of Pyramid – volume of removed part
Previously Asked Questions from Mensuration (Pyramid) in the CAT Exam:
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]
- 10√2
- 8√3
- 12
- 5√5
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
- In a pyramid with a base of n sides, number of vertices = n + 1.
- Number of faces including the base = n + 1.
- Attempt online CAT mock test/CAT model tests
- Do not waste time trying to solve the question if got stuck. (During Exam)
- Look for symmetry and take advantage of that.
CAT entrance exam: Prerequisite to mensuration: pyramids questions for MBA entrance exams
- Geometry
- Basics of trigonometry
- Percentage
CAT study material: References to Study Theory for pyramids (mensuration)
- NCERT Mathematics Class 9 and 10
- MBA Pathshala (YouTube, Link: https://www.youtube.com/watch?v=tA3ofmDtg1A)
References to Practice CAT mensuration questions on pyramids
- How to prepare quantitative Aptitude for CAT by Arun Sharma.
- 2IIM CAT Preparation (https://www.youtube.com/watch?v=X7F6Lnouppk)
- Practice Sample Papers
Part-2: CAT 2023 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
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?
- Riya
- Aryan
- Shovik
- None of these
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?
- X
- Y
- Z
- cannot be determined
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)
Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
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
- The basic idea of sentence structure.
- Knowledge of basic grammar rules.
- Reading speed should be good and should be able to understand the idea of the passage.
References to Study (Theory)para jumbles for CAT
- How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)
- Mission CAT (YouTube: https://www.youtube.com/watch?v=Cil9A0tQDIA)
References to Practice CAT Para jumbles Questions
- Jumbles Sentences and Paragraphs (Arihant)
- Bodhee Prep CAT Preparation (https://www.youtube.com/watch?v=av6O1Ub1fbg&list=PLhsX_kQ8ISVZsgGigUd3YPkub37DV6MmE&index=2)
- CAT Previous years Papers and Sample Papers.
Tomorrow we'll be back with Day 47, so practice and pay attention.
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Questions related to CAT
Have a question related to CAT ?
Hi aspirant,
- In general, PUMBA (Pune University's Department of Management Sciences) requires a higher CAT percentile, usually between 94 and 96.
- Nevertheless, final selection is based on a comprehensive process that includes your CAT score (which usually carries 50% weightage), performance in the Group Discussion (GD) and Personal Interview (PI) rounds (30% weightage), academic record (10% weightage), and work experience (10% weightage).
- Even though your CAT score is strong, a strong performance in the subsequent selection rounds will be essential for admission.
- It is recommended to contact the institution directly for latest and up-to-date information.
You can refer to the link attached above for more information on the same.
All the best!
Rajeswari Dey 27 May,2025
Hi aspirant,
- Vadodara is an MHT CET exam center located outside of Maharashtra .
- This makes it easier for Gujarati applicants to take the exam.
- When completing your MHT CET application form, you will have the option of selecting your chosen exam centers , including those situated outside of Maharashtra.
You can refer to the link given above for more information on the same.
All the best!
Rajeswari Dey 25 May,2025
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:
- Begin your CAT preparation around 12 months before the exam date.
- Dedicate 5 to 6 hours daily for studying, focusing on smart work rather than just hard work.
Identify Weak Sections:
- Recognize your weak section at the start of your preparation.
- Allocate more time and attention to improving your weak areas while maintaining practice in all sections
I hope you got your answer, That's all Thank you.
Rajeswari 22 May,2025
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.
harsh singh 21 May,2025
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.
Sujal Singh 20 May,2025
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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