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CAT Success Roadmap: Navigating Time and Work, DILR miscellaneous questions, and solving RC CAT PYQs - Day 29
Edited By Irshad Anwar | Updated on May 01, 2025 01:35 PM IST | #CAT
Welcome to CAT 2025 Success Roadmap – Day 29, a concentrated practice session to enhance your performance through strategic preparation. The set for today includes critical subjects such as Time and Work from Quantitative Aptitude, Miscellaneous DILR questions, and Reading Comprehension Previous Year Questions (RC PYQs) from CAT. All the sections are designed to improve core concepts, enhance precision, and instill the correct approach to deal with diverse types of questions efficiently.
CAT Preparation 2025 in 60 days
Part-1: CAT 2025 QA Preparation Tips (Quantitative Aptitude)
CAT Exam Important Topic: Time and Work CAT Questions
Students can also take references from the time and work questions pdf for more practice on this topic. Time and Work aptitude questions can be bit tricky but is easy to learn as well. Students should have a clear understanding of the concepts and formulas for the topic.
CAT Syllabus 2025: Important Concept/Formula Used in CAT time and work questions:
Individual work time is given and time taken if working together is asked. (For an equal amount of work)
1/T=1/A+1/B+1/C+…
T is the time taken by all when working together
A is the time taken by A when working alone
C is the time taken by C when working alone
B is the time taken by B when working alone
A group of few members with the same efficiency is working together, then
M1. D1.R1/W1=M2. D2.R2/W2
M1, M2 are the number of person
D1, D2 time taken by M1 and M2 respectively.
R1, and R2 rate of doing work of M1 and M2 respectively.
W1, and W2 amount of work done by M1 and M2 respectively.
Concept of Negative work: Work done by emptying tape/Cistern is taken as negative work in the questions of pipes and cistern.
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 NowEfficiency is equal to Total work divided by the time taken.
Previous Year CAT Questions On Time And Work
Below listed are some Time and Work CAT previous year questions for students to learn and grasp the concepts and can also know the level and type of questions given in the examination. There are some Time and Work difficult questions as well listed below which can be helpful for students for reference:
Q1. At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency? [CAT exam: 2019]
18
36
24
12
Answer: [1]
Let the efficiency of A and B is x and y respectively.
Then, according to the first condition;
Total amount of work = (x+ y) 12
If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does
Total amount of work = (x/2 + 3y) 9
Both works should be equal,
So, (x+ y) 12= (x/2 + 3y) 9
On solving, x = 2y
Let A will take D days if she works alone;
Total work = xD = (x+ y) 12
Put x = 2y in the above equation;
2y D = (2y + y) 12
On solving, we get D = 18 days.
Q2. When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job? [CAT exam: 2018]
16
20
22
18
Solution: [2]
Since B took 25% more time than B
Let A and B finish a job in 4x and 5x days respectively.
45 % of the work was done by A and B together in 4 days since A did 50% of the work and B did 5% work alone.
Therefore, A and B together can finish the 100% job in 4x 100/45 = 80/9 days.
So,
4x.5x/4x+5x=80/9
On solving, we get x = 4.
So, B alone can finish the job in 20 days.
CAT entrance exam: Prerequisite for CAT level time and work questions
- Ratio
- Unitary Method
- HCF and LCM
Tips and Tricks for CAT time and work questions
Total work can be taken as LCM of time taken by all the individuals.
Dividing questions concept-wise may help in preparation.
Time taken by A and B is x days and y days, then the efficiency of A and B will be in the ratio of y: x.
The wages for any amount of work are directly proportional to the amount of work.
Questions about Pipes and Cisterns are solved by using the concept of Time and Work.
Total Work = Efficiency x Time taken.
Time taken by A and B is x days and y days, then both together will finish the work in xy/(x+ y) days.
CAT study material: References to Study Theory
- How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition: Page No 309- 314)
- Rodha (YouTube, Link: https://www.youtube.com/watch?v=oApzHGJNx38)
CAT study material: References to Practise Time and Work Aptitude Questions
- Quantitative Aptitude for the CAT – Sarvesh Verma.
- CAT Previous years questions Solutions by MBA Pathshala (YouTube)
- (Link: https://www.youtube.com/watch?v=QbcKt9CK2jU)
Part 2: CAT 2025 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
CAT 2025 Syllabus Topic: Strategy to prepare Problem Solving/Puzzle (Miscellaneous: Jumbled Problems)
CAT previous years questions Comprehension (RC for CAT):
Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata on a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows, numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seat A to C is to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row.
Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge.
The following are known:
The eight friends were seated in six different rows. They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat. Seven of them had to pay extra amounts, totalling Rs. 4600, for their choices of seats. One of them did not pay any additional amount for his/her choice of seat.
Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seats. One of these amounts may be zero.
Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta.
Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of the seat. One of these amounts may be zero. [CAT exam: 2017 Slot-2]
Q1. In which row was Manik sitting?
- 10
- 11
- 12
- 13
Q2. How much extra did Jayanta pay for his choice of the seat?
- Rs. 300
- Rs. 400
- Rs. 500
- Rs. 1000
Q3. How much extra did Gargi pay for her choice of the seat?
- 0
- Rs. 300
- Rs. 500
- Rs. 1000
Q4. Who among the following did not pay any extra amount for his/her choice of the seat?
- Kikira
- Manik
- Gargi
- Tapesh
Solution:
CAT Tip 1: Use the Initial letter for each name
CAT Tip 2: Write Concrete information
8 friends, six different rows, 3 window seats, 4 Aisle seats, 1 middle seat.
7 paid extra amounts of Rs 4600 (Total)
J, A, and B are in consecutive rows with increasing numbers paid different amounts in seats marked by the same alphabet. So, the only possibility is rows 10, 11 or 12. All three Aisle or all three windows.
P and T were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of the seat. One of these amounts may be zero.
Possibilities: 1 and 2 or 13 and 14 or 20 and 21. If JAB took window seats, they would take Aisle Seats and vice versa.
Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta.
CAT Tip 3: Look for all the possibilities
Case 1: J, A, and B took Window seats
P, and T will take Aisle seats
If J is in the Window seat, then Manik (Row 10) must be in the middle seat.
G, K must be in two Aisle seats
Now, look for extra cost; for window seats of J, A, B = 300 + 200 + 1000 = 1500
For P, T: (Aisle Seats)
There are three Possibilities again
Row 1 and 2 | 1000 + 500 = 1500 |
Row 13 and 14 | 1000 + 400 = 1400 |
Row 20 and 21 | 400 + 0 = 400 |
If G and K sit in row either 1 or 13, the extra cost will be Rs 2000. In this case total extra cost will be either less than 4600 or greater than 4600.
If G and K sit in rows other than 1 and 13, maximum extra cost will be Rs 1000; In this case total of extra amount will be less than 4600.
Therefore, this case is not possible.
Case 2: J, A, B took Aisle seats
P, T will take Window seats
If J is in the Aisle seat, then Manik (Row 10) must be in the Aisle seat.
G, K must be in middle seat and window seat (Interchangeable)
Now, look for extra cost; for Aisle seats of J, A, B and M = 500 + 400 + 1000 + 500 = 2400
For P, T: (Window Seats)
There are three Possibilities again
Row 1 and 2 | 1000 + 300 = 1300 |
Row 13 and 14 | 1000 + 200 = 1200 |
Row 20 and 21 | 200 + 0 = 200 |
If G and K sit in row either 1 or 13, the extra cost will be Rs 2000. In this case, total extra cost will be equal to 4600 if P and T are in rows 20 and 21.
If G and K sit in rows other than 1 and 13, the extra cost cannot be 4600.
CAT Tip 4: Draw Final Table
Row 0No | A (Window) | B (Middle) | C (Aisle) | D (Aisle) | E (Middle) | F (Window) | EXTRA COST |
10 | J | M | 1000 | ||||
11 | A | 400 | |||||
12 | B | 1000 | |||||
1/13 | G/K | K/G | 2000 | ||||
20 | P | 200 | |||||
21 | T | 0 |
Answers:
Q1. (1)
Q2. (3)
Q3. (4)
Q4. (4)
CAT entrance exam: Prerequisite:
The basics of LR include Direction Sense, Blood Relation, and Ranking.
Selection, Distribution and Arrangement-based Puzzles
CAT Tips and Tricks:
Individualise the multiple concepts used in the puzzle.
Individual tables are drawn for each category.
Use Concrete information first.
Consider all the possibilities.
Eliminate the wrong possibilities
CAT Syllabus 2025: References to Study (Theory):
Verbal and Non-Verbal Reasoning by R S Agrawal (Pg No 384- 388)
Talent Sprint (YouTube: https://www.youtube.com/watch?v=CfYKib1GAt4&list=PLffLKBjSzxT_usagQxX6MrC_ijpTQEV1x)
CAT Syllabus 2025: References to Study (Practice):
Data Interpretation & Logical Reasoning by Gautam Puri
https://careericons.com/verbal-reasoning/puzzles-test/jumbled-puzzles/64-1/
CAT Previous years Papers and CAT Sample Papers.
Part-3: CAT Exam Preparation 2025: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
CAT Exam Important Topic: Reading Comprehension Part-5 (Solving through CAT Previous Years Questions).
CAT Previous Years Question on RC: Comprehension (RC for CAT):
Read the passage and answer the question based on it.
The end of the age of the internal combustion engine is in sight. There are small signs everywhere: the shift to hybrid vehicles is already under way among manufacturers. Volvo has announced it will make no purely petrol-engined cars after 2019...and Tesla
has just started selling its first electric car aimed squarely at the middle classes: the Tesla 3 sells for $35,000 in the US, and 400,000 people have put down a small, refundable deposit towards one. Several thousand have already taken delivery, and the company hopes to sell half a million more next year. This is a remarkable figure for a machine with a fairly short range and a very limited number of specialised charging stations.
Some of it reflects the remarkable abilities of Elon Musk, the company's founder, as a salesman, engineer, and a man able to get the most out of his factory workers and the governments he deals with... Mr Musk is selling a dream that the world wants to believe in.
This last may be the most important factor in the story. The private car is...a device of immense practical help and economic significance but at the same time a theatre for myths of unattainable self-fulfilment. The one thing you will never see in a car
advertisement is traffic, even though that is the element in which drivers spend their lives. Every single driver in a traffic jam is trying to escape from it, yet it is the inevitable consequence of mass car ownership.
The sleek and swift electric car is at one level merely the most contemporary fantasy of autonomy and power. But it might also disrupt our exterior landscapes nearly as much as the fossil fuel-engine car did in the last century. Electrical cars would of course pollute far less than fossil fuel-driven ones; instead of oil reserves, the rarest materials for batteries would make undeserving despots and their dynasties fantastically rich. Petrol stations would disappear. The air in cities would once more be breathable and their streets as quiet as those of Venice. This isn't an unmixed good. Cars that were as silent as bicycles would still be as dangerous as they are now to anyone they hit without audible warning.
The dream goes further than that. The electric cars of the future will be so thoroughly equipped with sensors and reaction mechanisms that they will never hit anyone. Just as brakes don't let you skid today, the steering wheel of tomorrow will swerve
you away from danger before you have even noticed it...
This is where the fantasy of autonomy comes full circle. The logical outcome of cars which need no driver is that they will become cars which need no owner either. Instead, they will work as taxis do, summoned at will but only for the journeys we actually need. This is the future towards which Uber...is working. The ultimate development of the private car will be to reinvent public transport. Traffic jams will be abolished only when the private car becomes a public utility. What then will happen to our fantasies of independence? We'll all have to take electrically powered bicycles. [CAT exam: 2017]
Q1. Which of the following statements best reflects the author's argument?
- Hybrid and electric vehicles signal the end of the age of internal combustion engines.
- Elon Musk is a remarkably gifted salesman.
- The private car represents an unattainable myth of independence.
- The future Uber car will be environmentally friendlier than even the Tesla.
Ans: C
CAT Tips and Tricks: Look for the idea of the passage, and the argument will be related to it.
(B) and (D) are not argumentative statements.
From the last line of the second paragraph to the third paragraph gave your answer.
Q2. The author points out all of the following about electric cars EXCEPT
Their reliance on rare materials for batteries will support despotic rule.
They will reduce air and noise pollution.
They will not decrease the number of traffic jams.
They will ultimately undermine rather than further driver autonomy.
Ans: D
CAT Tips and Tricks: Search the statements to eliminate the irrelevant options
Option A: True (4th paragraph)
Option B: True (4th paragraph)
Option C: True (4th paragraph)
Q3. According to the author, the main reason for Tesla's remarkable sales is that
In the long run, Tesla is more cost-effective than fossil fuel-driven cars.
The US government has announced a tax subsidy for Tesla buyers.
The company is rapidly upscaling the number of specialised charging stations for customer convenience.
People believe in the autonomy represented by private cars.
Ans: D
CAT Tips and Tricks: Go through options and search in the passage
the 4th paragraph makes option D correct.
Q4. The author comes to the conclusion that
car drivers will no longer own cars but will have to use public transport.
cars will be controlled by technology that is more efficient than car drivers.
car drivers dream of autonomy but the future may be public transport.
electrically powered bicycles are the only way to achieve autonomy in transportation
Ans: C
Explanation: In the last paragraph, the author says “The logical outcome of cars which need no driver is that they will need no owner either”. This means that they will become public transport.
CAT 2025: Prerequisite:
Fluency/Skipping in reading
Understanding of the phrases
Phrasal verbs
CAT 2025: 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 2025: References to Study (Practice):
Verbal Ability and Reading Comprehension for the CAT’ – by Nishit K Sinha
CAT Previous Years Question Papers RCs
CAT2CET (YouTube)
Free PDFs for CAT 2025 preparation
We will be back with CAT Preparation Day 30 tomorrow of the CAT exam preparation guide 2025 for 60 days. Do practice and be focused.
Frequently Asked Questions (FAQs)
1. How can these practice sets help in my CAT 2025 preparation?
They assist in enhancing speed, accuracy, time management, and exposure to a variety of question types in QA, DILR, and VARC.
2. Are these CAT 2025 practice questions based on the actual exam pattern?
Yes, all questions are crafted to match the difficulty level, format, and topic distribution of the real CAT exam to enable realistic practice.
3. Are solutions provided for every question?
Yes, step-by-step detailed solutions are provided for every question so that you can see the concepts and methods clearly.
4. How often should I attempt these practice sets?
Practically, practice one complete set per day and review your performance to monitor progress and detect weak points.
5. Can beginners also use these practice sets effectively?
Yes. These sets are for all levels—beginners can begin slowly and utilize the solutions for learning, while advanced learners can utilize them for speed and revision.
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Questions related to CAT
Have a question related to CAT ?
Hello,
Yes, a state (Delhi) NC-OBC certificate is valid for CAT 2025 , but it must be in the central government format (for appointment to posts under Government of India).
Also, it should be issued after 31st March 2025, as required by IIMs. If your certificate meets these conditions, it will be accepted.
Hope it helps !
Prachi Kumari 28 June,2025
GIBS Business School in Bangalore accepts multiple national and state-level entrance exam scores for admission to its PGDM program. You can apply using scores from exams like CAT, MAT, XAT, CMAT, GMAT, ATMA, or various state-level CETs.
The admission process typically considers your entrance exam score along with your academic record, performance in the group discussion and personal interview, and any work experience you may have. For the BBA program, admissions are generally based on your Class 12 marks and do not require entrance exam scores.
If you're planning to apply, it's a good idea to keep your exam score, academic documents, and personal statement ready for the selection rounds.
OISHEE BANERJEE 24 June,2025
If your son’s first preference is CSE, then Amrita Bangalore clearly leads among the three, simply because CSE opens more doors in terms of placements, internships, and future-proof careers. Amrita is also NAAC A++ and has a strong reputation, especially for CSE. Category 2 is also manageable fee-wise compared to higher categories.
VIT Chennai is a decent campus, and their ECE program is solid, but Category 5 means much higher fees and very low chance of branch upgrade later. CSE at VIT Chennai would have been more competitive here — but ECE at that fee tier is not as strong a deal unless your son has a strong interest in core electronics.
Manipal Bangalore (MIT Bengaluru campus) is a newer campus. ECE there is still developing in terms of placements and faculty compared to the main Manipal campus. Unless your son strongly prefers Bangalore or is getting some advantage here like scholarships or internship access, it doesn't stand out above Amrita.
So, recommendation: Go with Amrita Bangalore CSE (Category 2). It balances a strong branch with a decent campus and better long-term potential in the tech industry. If your son is open to core electronics and you’re okay with the higher cost, VIT Chennai is fine, but still comes second to CSE at Amrita.
All the best!
OISHEE BANERJEE 22 June,2025
hi,
Yes, with a NEET score of 317 and being from Bihar with OBC category, you still have chances to get a seat. For BDS, getting a government seat may be difficult because the cutoffs are usually higher. But you can try for private BDS colleges, especially in the mop-up and spot rounds.You can get a seat in private BAMS colleges in Bihar, and maybe in semi-government colleges if cutoffs drop this year.
Kishan Bhakat 20 June,2025
Hi aspirant,
The IIM admissions procedure is multifaceted .
- You must excel in the CAT exam, aiming for a high percentile (often 98-99+ for the top IIMs, though this varies by category and institute).
- Your academic profile, which includes your 10th, 12th, and graduation results, is important in addition to the CAT.
- Many IIMs also evaluate academic diversity (giving preference to non-engineering students) and gender diversity.
- Finally, shortlisted candidates are subjected to a Written Ability Test (WAT) or Group Discussion (GD), followed by a Personal Interview.
- If you have any work experience, it would also help you fetch additional points.
Cracking the CAT demands a smart and systematic strategy .
- Begin by completely comprehending the exam design and syllabus for each of the three sections: VARC, DILR, and QA.
- Frequently take mock examinations to imitate exam settings, assess your skills and limitations, and improve your time management.
- Analyze your performance after each mock to determine where you are losing marks and to improve your strategy.
- Consistent preparation with previous year's papers and targeted questions for weak areas is critical.
- Reading widely (newspapers, articles, novels) is vital for increasing VARC capabilities, whilst completing puzzles and various problem sets improves DILR and QA abilities.
Success relies on
discipline
,
dedication
, and a
good outlook
.
All the best!
Rajeswari Dey 19 June,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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