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Miscellaneous Topics for CAT Exam 2025 for DILR, Partnership Ratios, Practice Questions for RC & PYQs - Day 27
Edited By Team Careers360 | Updated on May 01, 2025 01:29 PM IST | #CAT
Welcome to CAT 2025 Practice – Day 27, a combination of high-impact topics for boosting overall performance. This collection comprises Miscellaneous DILR problems, Partnership and Ratio-based questions from Quantitative Aptitude, Reading Comprehension (RC) practice questions, and selected Previous Year Questions (PYQs). These practice problems have been carefully selected to be of CAT-level difficulty and build your accuracy, speed, and strategic problem-solving skills in all important areas. CAT Preparation 2025 in 60-day
Part 1: Quantitative Aptitude For CAT 2025
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 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 NowCAT 2025 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 2025
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
CAT 2024: References to Study (Practice)
Verbal Ability and Reading Comprehension for the CAT’ – by Nishit K Sinha
CAT Previous Years Question Papers RCs
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Questions related to CAT
Have a question related to CAT ?
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
Mansi Satwani 07 July,2025
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.
Yash Teotia 06 July,2025
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 !
Prachi Kumari 04 July,2025
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!
Samriddha Pal 08 July,2025
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.
Pradeepa P 02 July,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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