XAT- Xavier Aptitude Test 2026
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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 2025: Syllabus and High-Weightage Topics | CAT 2024 Official Paper
CAT 2025: VARC, DILR, and Quant: MCQs & Weightages | Chapter-wise MCQs
CAT 2025 Study Material: VARC | Quantitative Aptitude | 60 Days Study Material by Experts
Online MBA: Guide | Top Online MBA Universities India | Online MBA at IIMs
CAT Preparation 2025 in 60 days
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.
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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.
Efficiency is equal to Total work divided by the time taken.
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.
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
CAT study material: References to Practise Time and Work Aptitude Questions
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?
Q2. How much extra did Jayanta pay for his choice of the seat?
Q3. How much extra did Gargi pay for her choice of the seat?
Q4. Who among the following did not pay any extra amount for his/her choice of the seat?
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.
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?
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)
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.
They assist in enhancing speed, accuracy, time management, and exposure to a variety of question types in QA, DILR, and VARC.
Yes, all questions are crafted to match the difficulty level, format, and topic distribution of the real CAT exam to enable realistic practice.
Yes, step-by-step detailed solutions are provided for every question so that you can see the concepts and methods clearly.
Practically, practice one complete set per day and review your performance to monitor progress and detect weak points.
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.
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
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.
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 !
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!
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.
A career as Marketing Director is also known as a marketing expert who is responsible for the overall marketing aspect of the company. He or she oversees plans and develops the company's budget. The marketing Director collaborates with the business team to plan and develop the marketing and branding strategies for the company's products or services.
A Business Development Executive identifies and pursues new business opportunities to drive company growth. They generate leads, build client relationships, develop sales strategies, and analyse market trends. Collaborating with internal teams, they aim to meet sales targets. With experience, they can advance to managerial roles, playing a key role in expanding the company’s market presence and revenue.
Content Marketing Specialists are also known as Content Specialists. They are responsible for crafting content, editing and developing it to meet the requirements of digital marketing campaigns. To ensure that the material created is consistent with the overall aims of a digital marketing campaign, content marketing specialists work closely with SEO and digital marketing professionals.
A Sales Manager leads a sales team to meet targets, formulates strategies, analyses performance, and monitors market trends. They typically hold a degree in management or related fields, with an MBA offering added value. The role often demands over 40 hours a week. Strong leadership, planning, and analytical skills are essential for success in this career.
A marketing manager is a person who oversees a company or product marketing. He or she can be in charge of multiple programmes or goods or can be in charge of one product. He or she is enthusiastic, organised, and very diligent in meeting financial constraints. He or she works with other team members to produce advertising campaigns and decides if a new product or service is marketable.
A Marketing manager plans and executes marketing initiatives to create demand for goods and services and increase consumer awareness of them. A marketing manager prevents unauthorised statements and informs the public that the business is doing everything to investigate and fix the line of products. Students can pursue an MBA in Marketing Management courses to become marketing managers.
An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.
Digital marketing is growing, diverse, and is covering a wide variety of career paths. Each job function aids in the development of effective digital marketing strategies and techniques. The aims and objectives of the individuals who opt for a career as a digital marketing executive are similar to those of a marketing professional: to build brand awareness, promote company services or products, and increase conversions. Individuals who opt for a career as Digital Marketing Executives, unlike traditional marketing companies, communicate effectively through suitable technology platforms.
Individuals who opt for a career as a business analyst look at how a company operates. He or she conducts research and analyses data to improve his or her knowledge about the company. This is required so that an individual can suggest the company strategies for improving their operations and processes.
In a business analyst job role a lot of analysis is done, things are learned from past mistakes and the successful strategies are enhanced further. A business analyst goes through real-world data in order to provide the most feasible solutions to an organisation. Students can pursue Business Analytics to become Business Analysts.
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