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Miscellaneous Topics for CAT Exam for DILR, Partnership Ratios, Practice Questions for RC & PYQs - Day 27
Edited By Team Careers360 | Updated on Sep 19, 2024 12:03 PM IST | #CAT
Hello CAT 2024 candidates! The CAT exam for MBA admissions from 2025 to 2027 is set for November 24. In this 60-day preparation guide series from Careers360, we’ll focus on the strategies for Day 27 to help you prepare effectively and ace the CAT 2024 entrance test.
This article covers the following topics: ratio questions and answers, partnership questions with solutions, miscellaneous CAT questions, and strategies for reading comprehension (RCs), including previous years' questions for VARC.Partnership questions with solutions are crucial, so make sure to study this topic thoroughly. CAT Preparation 2024 in 60-day
Part 1: Quantitative Aptitude For CAT 2024
Topic: Ratios in partnership
When two or more individuals formally agree to run a business or company and decide to share profits depending on the investment, it is called a Partnership.
Partnership depends on three main factors: Investment, time, and profit/loss
Important Concept/Formula Used in Ratio and Partnerships Problems
Problems on profit Sharing
PA: PB: PC = IA x TA: IB x TB: IC x TC
PA, PB, and PC are profit shares of A, B and C respectively.
IA, IB, and IC are investments made by A, B and C respectively.
TA, TB, and TC are the time of investment of A, B and C respectively.
CAT previous years' Questions on Ratio and Partnership
Q1. Peter started a business with 20, 000. John joined him 4 months later with 30, 000. After 2 more months, Peter withdrew 5,000 of his capital and 2 more months later, John brought in 20, 000 more. At the end of the year, what should be the ratio in which they should share the profits? [CAT exam]
Solutions:
Peter invested Rs 20000 and after 6 months (4 +2), he withdrew Rs 5000 and hence his investment remains Rs 15000.
John joins after 4 months i.e. for a total of 8 months with Rs 30, 000 for the initial 4 months and then invests Rs 20000 for the next 4 months.
Therefore, the share of profit of Peter and John will be in the ratio
P: J = (20000 x 6 + 15000 x 6): (30000 x 4 + 50000 x 4)
P: J = 21: 32
Q2. A profit of Rs 144000 has to be divided among three partners Akram, Bipin and Chintan if their investments are in the ratio 3:2:7. How much Rs. Chintan get [CAT exam]
84000
24000
36000
42000
Ans: [a]
Ratio of profit = ratio of investment = 3:2 :7 (Time of investment is equal)
Share of Chintan = 7 (144000)/12 = 84000
Prerequisite
Ratios
Percentage
Average
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 NowCAT 2024 QA Preparation Tips for Ratio and Partnership
In the partnership math question, If the time of investment is the same for all the partners, then the profit ratio is equal to the ratio of their respective investments.
For Passive or sleeping partners, the share is only for their investment.
Share of Active (Working) partners is for both i.e. investment as well as work.
CAT study material: References to Study Theory
Quantitative Aptitude by R S Agrawal
Mission CAT (YouTube: https://www.youtube.com/watch?v=QPAf9lxnPGo)
CAT study material: References to Study (Practice)
How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition: Page No 286- 300)
(https://bodheeprep.com/cat-question-paper-previous-years-pdf)
Part 2: DILR (Logical Reasoning and Data Interpretation) For CAT 2024
CAT preparation: Concepts Used
Topic: Strategy to prepare Problem Solving/Puzzle (Miscellaneous CAT Questions) Part 1
CAT's previous years' questions
Comprehension:
Fuel contamination levels at each of the 20 petrol pumps P1, P2, …, and P20 were recorded as either high, medium, or low.
Contamination levels at three pumps among P1 – P5 were recorded as high.
P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
High contamination levels were not recorded at any of the pumps P16 – P20.
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded. [CAT exam 2018]
Q1. Which of the following MUST be true?
The contamination level at P10 was recorded as high.
The contamination level at P13 was recorded as low.
The contamination level at P20 was recorded as a medium.
The contamination level at P12 was recorded as high.
Q2. What best can be said about the number of pumps at which the contamination levels were recorded as a medium?
At most 9
Exactly 8
More than 4
At least 8
Q3. If the contamination level at P11 was recorded as low, then which of the following MUST be true?
The contamination level at P12 was recorded as high.
The contamination level at P15 was recorded as a medium.
The contamination level at P18 was recorded as low.
The contamination level at P14 was recorded as a medium.
Q4. If the contamination level at P15 was recorded as a medium, then which of the following MUST be FALSE?
Contamination levels at P11 and P16 were recorded as the same.
Contamination level at P14 was recorded to be higher than that at P15.
Contamination levels at P13 and P17 were recorded as the same.
Contamination levels at P10 and P14 were recorded as the same.
Solution:
Tip 1: Write concrete information first
P6 was the only pump among P1 – P10 with a low contamination level.
Only P7 and P8 were the only two consecutively numbered pumps with the same levels of contamination.
Contamination levels at three pumps among P1– P5 were recorded as high i.e. P1, P3 and P5 have high Contamination levels whereas P2 and P4` will be with medium Contamination levels.
Tip 2: Draw all the possibilities
We get two possible cases for P1 to P10.
Tip 3: Eliminating the wrong possibilities
In Case I, Maximum number of H can be 8 (P1, P3, P5, P7, P8, P10, P12, P14) since high contamination cannot be in P16- P20
It is given that
H = 2L
8 = 2L
⇒ L = 4, therefore M must be 20- 8- 4 = 8
Thus H + L = 3L must be multiple of 3.
The possible arrangement will be
Also, 8 H can be at P1, P3, P5, P7, P88 P10, P13, P15, then
The possible arrangement will be
In case II, H can be 6 and L will be 3;
The number of pipes with medium contamination level = 11 which is not possible.
So, Case I is true with two possibilities.
Answers:
Q1. (1)
Q2. (2)
Q3. (4)
Q4. (1)
Prerequisite
Selection and Arrangement-based Puzzles
Tips and Tricks
Write Concrete information first
Draw all possibilities by assigning the right value
Eliminate the wrong possibilities
References to Study (Theory)
Verbal and Non-Verbal Reasoning by R S Agrawal
ADDA 247 (YouTube: https://www.youtube.com/watch?v=ONuoAGsIjDE)
References to Study (Practice)
Data Interpretation & Logical Reasoning by Gautam Puri
Part 3: VARC (Verbal Ability & Reading Comprehension) For CAT 2024
Topic: Reading Comprehension Part-4 (Solving through CAT Previous Years Questions)
CAT Previous Years Question on RC:
Comprehension:
Read the passage and answer the question based on it.
Creativity is at once our most precious resource and our most inexhaustible one. As anyone who has ever spent any time with children knows, every single human being is born creative; every human being is innately endowed with the ability to combine
and recombine data, perceptions, materials and ideas, and devise new ways of thinking and doing. What fosters creativity? More than anything else: the presence of other creative people. The big myth is that creativity is the province of great individual
geniuses. In fact, creativity is a social process. Our biggest creative breakthroughs come when people learn from, compete with, and collaborate with other people.
Cities are the true fonts of creativity... With their diverse populations, dense social networks, and public spaces where people can meet spontaneously and serendipitously, they spark and catalyze new ideas. With their infrastructure for finance, organization and trade, they allow those ideas to be swiftly actualized.
As for what staunches creativity, that's easy, if ironic. It's the very institutions that we build to manage, exploit and perpetuate the fruits of creativity — our big bureaucracies, and sad to say, too many of our schools. Creativity is disruptive; schools and organizations are regimented, standardized and stultifying.
The education expert Sir Ken Robinson points to a 1968 study reporting on a group of 1,600 children who were tested overtime for their ability to think in out-of-the-box ways. When the children were between 3 and 5 years old, 98 percent achieved
positive scores. When they were 8 to 10, only 32 percent passed the same test, and only 10 percent at 13 to 15. When 280,00025-year-olds took the test, just 2 percent passed. By the time we are adults, our creativity has been wrung out of us.
I once asked the great urbanist, Jane Jacobs, what makes some places more creative than others. She said, essentially, that the question was an easy one. All cities, she said, were filled with creative people; that's our default state as people. But some cities had more than their shares of leaders, people and institutions that blocked out that creativity. She called them "squelchers."
Creativity (or the lack of it) follows the same general contours of the great socio-economic divide - our rising inequality – that plagues us. According to my own estimates, roughly a third of us across the United States, and perhaps as much as half of us in our most creative cities - are able to do work which engages our creative faculties to some extent, whether as artists, musicians, writers, techies, innovators, entrepreneurs, doctors, lawyers, journalists or educators - those of us who work with our minds. That leaves a group that I term "the other 66 percent," who toil in low-wage rote and rotten jobs — if they have jobs at all — in which their creativity is subjugated, ignored or wasted.
Creativity itself is not in danger. Its flourishing is all around us - in science and technology, arts and culture, in our rapidly revitalizing cities. But we still have a long way to go if we want to build a truly creative society that supports and rewards the creativity of each and every one of us.
Q1. In the author's view, cities promote human creativity for all the following reasons EXCEPT that they
contain spaces that enable people to meet and share new ideas.
expose people to different and novel ideas, because they are home to varied groups of people.
provide the financial and institutional networks that enable ideas to become reality.
provide access to cultural activities that promote new and creative ways of thinking.
Ans: D
CAT Tips and Tricks: Search each statement individually in the passage.
(A), (B) and (C) are mentioned in the second paragraph
A, refers to new ideas
B, refers to a diverse population
C, refers to the infrastructure of finance
Q2. The author uses 'ironic' in the third paragraph to point out that
people need social contact rather than isolation to nurture their creativity
institutions created to promote creativity eventually stifle it
the larger the creative population in a city, the more likely it is to be stifled
large bureaucracies and institutions are the inevitable outcome of successful cities
Ans: B
CAT Tips and Tricks: See only third paragraph (Search keywords) or eliminate the irrelevant options
Option A: did not discuss in the third paragraph
Option C: Contrary statement
Option D: Irrelevant
Option B: Explicitly mentioned in the paragraph
Q3. The central idea of this passage is that
social interaction is necessary to nurture creativity
creativity and ideas are gradually declining in all societies
the creativity divide is widening in societies in line with socio-economic trends
more people should work in jobs that engage their creative faculties
Ans: A
CAT Tips and Tricks: Go through options and search in the passage
Neither B nor C is mentioned in the passage whereas D is a recommendation of the passage.
Q4. Jane Jacobs believed that cities that are more creative
have to struggle to retain their creativity
have to 'squelch' unproductive people and promote creative ones
have leaders and institutions that do not block creativity
typically, do not start off as creative hubs
Ans: C
CAT Tips and Tricks: Go through options and search in the passage
Key Words: Jane, Jacob, Creative
Q5. The 1968 study is used here to show that
as they get older, children usually learn to be more creative
schooling today does not encourage creative thinking in children
the more children learn, the less creative they become
technology today prevents children from being creative.
Ans: B
CAT Tips and Tricks: Go through options and search in the passage
Key Words: 1968 study
Prerequisite
Good reading skills (speed)
Understanding the comprehension
CAT 2024: References to Study (Theory)
How to Prepare for Verbal Ability and Reading Comprehension for CAT’- by Arun Sharma & Meenakshi Upadhyay
https://unstop.com/blog/reading-comprehension-for-cat
CAT 2024: References to Study (Practice)
Verbal Ability and Reading Comprehension for the CAT’ – by Nishit K Sinha
CAT Previous Years Question Papers RCs
Free PDFs for CAT 2024 preparation
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Questions related to CAT
Have a question related to CAT ?
Top MBA colleges based on CAT, XAT, SNAP, and NMAT scores include some of India’s best institutions. For CAT, the IIMs (Ahmedabad, Bangalore, Calcutta) and FMS Delhi are highly regarded. XAT results in prestigious colleges like XLRI Jamshedpur and XIMB. SNAP is known for Symbiosis Institutes, such as SIBM Pune and SCMHRD. NMAT scores open doors to NMIMS Mumbai, SPJIMR Mumbai, and ISB Hyderabad. Each exam has unique eligibility requirements, and their cutoffs vary, so it's important to research the specific criteria and select based on your preferences and strengths.
Ankit 17 January,2025
Hello,
Here are important points regarding your query :-
- Opportunity for candidates: IIM Kashipur might be inviting candidates for further consideration, regardless of initial CAT scores.
- Broadening applicant pool: They may aim to review diverse profiles beyond just percentile.
- Different criteria: Other factors like academic performance, work experience, and diversity may contribute to the decision.
- Possibility of screening: The email could be a formality, and actual shortlisting will depend on various selection criteria.
- No guarantee of shortlist: The invitation doesn’t ensure selection; many institutes offer preliminary applications before filtering through comprehensive evaluations.
Hope it helps !
Prachi Kumari 13 January,2025
Hi,
Based on the previous year analysis, According to your CAT 2024 percentile some of the colleges in which you have chances to get a seat includes:
- ISBR Business School
- SOIL Institute of Management
- Birla Institute of Management Technology
- GD Goenka University
- The ICFAI University
- Great Lake Institute of Management
- Jaipur National University
You can predict more colleges using the CLAT 2024 college predictor tool .
Hope this information will help you
Devraj 12 January,2025
Hello Greetings
With a CAT 2024 percentile of 68.28%, you may face a challenging time getting into IIT Delhi, as their cutoffs are typically higher. However, being an SC female student, you may be eligible for relaxation in the cutoff criteria .
To give you a better idea, here are some general CAT cutoff percentiles for IITs and other top B-schools:
- *IIT Delhi*: Typically above 90 percentile for general category students.
- *Newer IIMs*: Such as IIM Vishakapatnam, IIM Shillong, and IIM Udaipur, may have lower cutoffs, around 80-90 percentile.
- *Other top B-schools*: Like IMT Ghaziabad, XIM Bhubaneswar, and TAPMI, may also consider students with lower percentiles.
It's essential to note that CAT cutoffs can vary from year to year, and other factors like your academic background, work experience, and performance in the personal interview (PI) and written ability test (WAT) also play a significant role in the admission process.
To explore more options and predict your chances of getting into various colleges, you can use online CAT college predictor tools .
Have a great day
Sakshi Badoni 09 January,2025
Hello Greetings
Considering your 82.58 percentile in CAT and 22 months of industry experience in IT and Financial analysis, you have several options for General Management PGDM or PGPM programs.
*Decent Colleges Accepting Low CAT Percentile:*
- _SPJIMR_: Offers PGDM and PGPM programs, accepting CAT scores, with a minimum eligibility criterion of 50% aggregate in graduation ¹ ².
- _SOIL_: Provides PGPM and PGDM programs, considering CAT scores, with a focus on experiential learning ³.
- Other institutes like _IMT Ghaziabad_, _XIMB_, and _IRMA_ might also accept candidates with lower CAT percentiles, but this may vary depending on the program and intake.
*Key Factors to Consider:*
- _Work Experience_: With 22 months of experience, you might be eligible for PGPM programs, which typically require more work experience than PGDM programs ¹.
- _Career Gap_: Explain your career gap effectively in your application, highlighting any relevant activities or skills gained during that period.
- _Profile-Based Selection_: Some institutes consider profiles, including work experience, academic background, and extracurricular activities, in addition to CAT scores ¹.
*Next Steps:*
1. Research the institutes mentioned above and their programs.
2. Review the eligibility criteria, admission process, and fees for each program.
3. Prepare your application, ensuring you effectively communicate your strengths, work experience, and career goals.
4. Be prepared for interviews, focusing on your profile, experience, and motivation for pursuing a PGDM or PGPM program.
Remember, a lower CAT percentile doesn't necessarily limit your options. Focus on showcasing your strengths, experience, and fit with the program to increase your chances of admission.
Have a great day
Sakshi Badoni 09 January,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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