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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 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use 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 ?
With a 65 percentile in CAT, getting admission to USMS (Guru Gobind Singh Indraprastha University) may be difficult, as its cutoff is usually 75-85 percentile or higher for the general category.
However, you can consider other good MBA colleges that accept 60-70 percentile in CAT, such as:
Christ University, Bangalore
Institute of Public Enterprise, Hyderabad
Amrita School of Business, Kochi
PES University, Bangalore
KIIT School of Management, Bhubaneswar
Rajagiri Centre for Business Studies, Kochi
Army Institute of Management, Kolkata
Research their admission criteria, placements, and faculty to choose the best fit.
Poral Siddartha (siddu) 02 March,2025
Hello
With a 65 percentile in CAT , USMS (GGSIPU) admission is difficult as its cutoffs are usually higher. However, you can explore private and tier-2/tier-3 MBA colleges that accept lower CAT scores.
Options to Consider:
1. Private MBA Colleges :
Amity University, Noida
LPU (Lovely Professional University)
Alliance University, Bangalore
Christ University, Bangalore
Apeejay School of Management, Delhi
2. B-Schools Accepting Lower CAT Percentile :
BIMTECH (PGDM-Retail/IB/Insurance)
XIME Bangalore
ITM Navi Mumbai
IPE Hyderabad
Jaipuria Institute of Management
3. Other Entrance Exams :
Appear for MAT, CMAT, XAT (low percentile accepted by some colleges)
Consider state-level exams like MAH CET, KMAT or TANCET .
Hope this gives you the clarity you need.
Mitali Sharma 02 March,2025
Hello there,
With your
academic profile (General, Male, Non-Engineer)
, you should
target MBA colleges that focus more on CAT percentile than past academics.
Target Colleges & Minimum CAT Percentile:
- Top IIMs (A, B, C, L, K, I, FMS, XLRI, SPJIMR, MDI, etc.) – 90-99+ percentile (Tough due to low 12th marks)
- New & Baby IIMs (IIM Trichy, Udaipur, Rohtak, etc.) – 85+ percentile
- Tier-2 Colleges (IMT, TAPMI, GIM, KJ Somaiya, etc.) – 75-85 percentile
-
Tier-3 Colleges (BIMTECH, NDIM, ITM, etc.) – 60-75 percentile
What to Focus On?
- Score high in CAT (85+ percentile recommended)
- Apply to non-CAT colleges (XAT, NMAT, SNAP, CMAT)
- Strengthen profile with work experience or certifications
- Perform well in GD-PI rounds
You
can
get a good MBA college with
strategic applications
and
high CAT/XAT percentile.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 27 February,2025
Hi,
As per your given JEE Main percentile which is 88.34 in the SC Category, Your Predicted JEE MAINS 2025 rank may range between 147086 - 170102.
Based on the previous year analysis, According to your JEE MAINS percentile and category you have less possibility of getting a seat for admission in NIT Surathkal.
Some of the other colleges in which you have chances to get admission includes:
- Harcourt Butler Technological University
- G.L Bajaj Institute of Technology and Management
- Galgotais college of engineering and Technology
- Institute of engineering and Technology, Lucknow
- Kamla Nehru Institute of Technology
- Bundelkhand Institute of engineering and Technology
You can predict more colleges using the JEE MAINS 2025 college predictor tool.
Hope this information will help you
Devraj 26 February,2025
With your academic background, you have a good chance of getting into some of the top IIMs. Here's a breakdown of your profile:
- Class 10:91.6% - Excellent!
- Class 12:66% - Average, but not a deal-breaker
- B.Tech Computer Science: 8.4 CGPA - Very good!
Assuming you score well in CAT , here are some IIMs you might have a good chance of getting into:
- IIM Ahmedabad: Although the qualifying CAT cut off is 85 percentile, the final cut off typically goes up to 99-100 percentile.With a good CAT score, you might be considered.
- IIM Kozhikode: The CAT cut off for IIM Kozhikode is typically around 95-98 percentile. Your academic profile and a good CAT score might make you a competitive candidate.
- IIM Indore:The CAT cut off for IIM Indore is typically around 90-95 percentile. With a good CAT score and your academic background, you might have a chance.
Keep in mind that CAT cut offs can vary from year to year, and other factors like work experience, extracurricular activities, and personal interviews also play a significant role in the admission process.
To increase your chances, focus on scoring well in CAT, and make sure you have a strong overall profile.
sadafreen356 24 February,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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