As the CAT 2025 exam date is expected to be in November, we know that pressure is on for every aspirant. Since every MBA aspirant awaits enthusiastically for this opportunity once a year, we are here to provide you the best mock papers to give you the best idea of the CAT exam in the most efficient and effective way. You might be wondering with various dilemmas such as how to effectively study in 2 months, what strategy to follow, the best source for theory and practice questions. To help you, we've prepared a 60-day preparation plan based on the CAT 2025 syllabus. We've covered daily strategies up to Day 7, where we focused on percentages, caselets Logical Reasoning and prepositions.
The School of Management at IIT Mandi has started the application process for its MBA in Data Science and Artificial Intelligence for the 2026–28 batch. Eligible candidates can apply through the official website at iitmandi.ac.in by January 27, 2026.
CAT 2025 Practice Set 2- Sample Paper, Questions With Solutions
For Day 8 of our CAT preparation, we're providing CAT Practice questions based on the syllabus we've covered so far. Attempting these questions can help you to track your progress in the best possible way. CAT exam practice questions and answers are prepared for the students to get a learning experience of the syllabus in different ways and how they can prepare it well to avoid last minute rush or hassle.
Part-A: Quantitative Aptitude for CAT 2025
Cat Exam Aptitude Questions
Q1. If 138! is divisible by 7n, then find the maximum value of n.
24
20
21
22
BIMTECH PGDM Admissions 2026
AACSB Accredited | Highest CTC: 22 LPA | Last Date: 31st December 2025
400+ Recruiters | Highest CTC 21 LPA | Average CTC 8 LPA | 92% Placements in 2025 | Ranked as Platinum Institute | Awarded Best Business School of the Year
Q4. n is a number, such that 2n has 8 factors and 3n has 6 factors. 6n has.
24
48
12
Cannot be determined
Q5. How many pairs of positive integers x, y exist such that LCM (x, y) - HCF (x, y) = 42? [TITA]
Q6. 8 different brands of pairs of shoes counting 16, 64, 48, 88, 92, 60, 120, and 44 were ordered by a newly opened store. They need to be packed in such a way that each box has the same brand of pair of shoes and the number of pairs of shoes in each box is also the same. What is the minimum number of boxes required to pack?
129
64
48
133
Q7. Mr Kaju Srivastava is worried about the Expenditure on PNG. The price of PNG has increased by 30%. By what percent should he reduce the consumption of PNG so that he is able to maintain his Expenditure on PNG?
33.33 %
21 %
23 %
14.28 %
Q8. Of the population over 18 yrs in Singapore, 36% of men and 45% of women are married. What percentage of the total population of age more than 18 yrs are men? (Assume that no man marries more than one woman and vice versa)?
44.44%
55.55%
Cannot be determined
None of these
Directions for Questions 9 to 10: Read the following and answer the questions that follow.
Vande Bharat express has 4 AC-I coaches having 24 berths each, 6 AC-II Coaches having 45 berths each, and 3 AC-III Coaches having 64 berths each. There are no general Coaches on the train. If Rs 2000 is the cost of an AC -III berth from Delhi to Jammu. Following information in addition to above information is given:
AC-I berth is 20% expensive than AC-II berths.
AC-II berth is 20% more expensive than AC-III berths.
answer the following questions:
Q9. The value of the maximum revenue possible from Vande Bharat Express between Delhi to Jammu is
More than Rs.1.5 million
less than Rs.1.5 million
More than Rs. 1 million
Between Rs 1 to 1.5 million
Q10. What percent of revenue is generated from AC-I tickets in the previous question?
24.23%
21.13%
22.23%
28.9%
CAT Practice Papers: Answers And Solutions
Part A (Quantitative Aptitude)
CAT entrance exam question papers with answers:
Ans1: (c)
To find the maximum value of ‘n’, we have to count the number of 7s in 138!
So, n = [138/7] + [138/49], where [x] = maximum integer function
So, n = 19 + 2 =21
Ans 2: (b)
Do Prime factorization of 1430
i.e. 1430 = 13 x 11 x 5 x 2
n! must be 13 or greater since before 13, n! do not contain any 13.
So, the answer must be n = 13 (13! Will contain at least one 5, one 2, one 11 and one 13)
Ans 3: (a)
When 54 i.e. 625 divided by 626, the remainder is -1.
591 = (54x22) x53 = (62522) x125
Rem (591/626) = Rem {(62522) x125/ 626} = Rem {(-1)22 x125/626} = 125
Ans 4: (c)
2n has 8 factors. So, 2n must be of the form of one of the following:
2n = axbxc (no of factors = 2x2x2 = 8, here a, b and c are prime numbers)
Or
2n = axb3 (no of factors = 2x4 = 8, here a and b are prime numbers)
It is clear from here a= 2.
3n has 6 factors. So, 3n must be of the form of one of the following:
3n = b5 (no of factors = (5+1) = 6, where b is a prime numbers)
Or
3n = cxb2 (no of factors = 2x3 = 6, here c and b are prime numbers)
It is clear from here b = 3.
Here c will be a prime number other than 2 and 3.
Case 1:
2n = ax b3= 2n = 2x33; both cases of 3n will not be possible. So 2n cannot be ax b3.
Case 2:
2n = axbxc = 2x3xc; 3n = cxb2 = cx32 is possible
So, n = 3xc
6n = 2x32×c
No of factors = (1+1) x (2+1) x (1+1) = 2x3x2 = 12
Ans 5: 10 possible pairs are there.
Solution is as follows:
Let x = h x a; y = h x b, where h is HCF of x and y; a and b are co-primes
LCM = h x a x b
ATQ
h x a x b – h = 42
h (a x b - 1) = 42
H
(a x b - 1)
a x b
Possibility of a and b
1
42
43
(1, 43)
2
21
22
(1, 22), (2, 11)
3
14
15
(1, 15), (3, 5)
6
7
8
(1, 8)
7
6
7
(1, 7)
14
3
4
(1, 4)
21
2
3
(1, 3)
42
1
2
(1, 2)
Total possible pairs in a and b are 10.
Therefore, 10 pairs in x and y exist.
Ans 6: (d)
Take the HCF of the number of pairs of shoes and divide the total number of pair of shoes by HCF to find the minimum number of boxes required.
HCF (16, 64, 48, 88, 92, 60, 120, 44) = 4
Number of boxes are required = (16+64+48+88+92+60+120+44)/4 = 133
Since n is even, unit digit of 42n + 1 = 4 (Since 4^odd is always gives 4 as unit digit)
and unit digit of 4n = 6 (Since 4odd is always gives 6 as unit digit)
Ans 7: (c)
Price is increased by 30% means, if initial price was Rs 10 then new price will be Rs. 13
E2 (New Expenditure) = E1 (old Expenditure)
Using,
E2/E1 = (New Price/ Old Price) x (New Consumption/ Old Consumption)
1 = 13/10 x(New Consumption/ Old Consumption)
So, (New Consumption/ Old Consumption) = 10/13
We can say consumption will reduce from 13 to 10 i.e. 23.07%
Ans 8: (b)
Let there are 100x and 100y men and women respectively (Age more than 18 yrs)
Married Men = Married Women
i.e. 36x = 45y
So, x = 5y/4
Total Men = 100x = 100x5y/4 = 125y
Total Population (more than 18yrs) = 125y + 100y = 225y
Men = 125y × 100/225y % = 55.55%.
Ans 9: (d)
Cost of AC-III berth = Rs 2000
Cost of AC-II berth = Rs 2400
Cost of AC-I berth = Rs 2880
Maximum revenue is when all the berths are filled
Revenue from AC-III Coaches = 3x64x2000 = Rs 384000
Revenue from AC-II Coaches = 6x45x2400 = Rs 648000
The graph below informs about the total area and the population density for 8 different countries. The area of all countries is the same for the two years 2002 and 2008 and is shown by the bar graph, read off from the right-hand Y-axis. The population density is dividing the total population of the country by the area and is depicted by the line graphs and is read off the left-hand Y-axis. The two line graphs refer to the population density in the years 2002 and 2008.
Q1. How many countries had a higher population in 2008 as compared to 2002?
8
7
6
Cannot be determined.
Q2. Find the increase in the population of F from 2002 to 2008.
5.44 mn
5.44 lacs
5,440
Cannot be determined
Q3. The country with the largest population in 2008 among the given countries is
A
E
F
Cannot be determined
Population Density = \text {$\frac{Population}{Area}$}
Thus, the Population of a country can be found by multiplying the population density by the area.
CAT Practice Papers: Answers And Solutions
Part B (LRDI)
1. c
Since for all countries, the area remains the same over the two years, 2002 and 2008, then if population density has increased from 2002 to 2008, the population has increased and if population density has decreased, then the population has decreased. The number of countries having a population density in 2008 more than that in 2002 is 6 (except B and E)
2. a
The increase in the population of F = (70 – 62) × 680,000 i.e. 8 × 680,000 = 5,440,000 i.e. 5.44 mn.
3. b
Since the area has remained the same in 2002 and 2008, the percentage increase in the population is the same as the percentage increase in the population density. Thus, the required percentage growth is percentage growth from 46 to 56 i.e. a decrease of 10/46 i.e., 10/46 x100 = 21.73%
The country with the largest population is going to be one that has a higher population density as well as a higher area. Looking for this combination in the graph, the choices are narrowed down to E and F. (Each of the rest of the countries has both the area and the population density lower than one of these two countries)
Population of E in 2008 = 76 × 600 = 45600 thousand.
Population of F in 2008 = 70 × 680 = 47600 thousand.
Thus, in 2008, the highest population is F.
Directions for questions 4 to 7: Answer the questions on the basis of the information given below.
The following table gives the details of the production of 4 crops in India from the years 2007 to 2010. Winter and Summer refer to two different seasons of sowing and harvesting in the year. All 4 crops are produced in both seasons and the break-up across the two seasons is also given in the table.
Further, the table also gives the yield of the crops across the seasons and the years. Yield is defined as the production of the crop per hectare of the area under cultivation.
2007
2008
2009
2010
Season
prod.
Yield
prod.
Yield
prod.
Yield
prod.
Yield
Rice
Winter
74.47
1.91
76.7
1.88
80.2
2.12
78.25
2.05
Summer
11.25
3.02
12.6
2.98
12
2.88
12.5
3.15
Jowar
Winter
4.18
1.03
4.6
0.96
4.88
1.11
5.12
0.9
Summer
2.96
0.6
3.4
0.65
3.2
0.7
3.8
0.75
Maize
Winter
11.44
1.74
10.4
1.76
9.1
1.8
12.5
1.85
Summer
2.58
3.22
1.9
2.87
3.5
3.08
3.96
3.2
Pulses
Winter
4.94
0.45
4.7
0.45
5.11
0.55
4.98
0.55
Summer
8.41
0.72
7.9
0.74
7.5
0.75
8.2
0.78
Production figures are in million tonnes and the Yield is in tons/hectare.
Q4. In 2008, for how many of the four crops is the yield in the summer season more than the yield in the Winter season?
1
2
3
4
Q5. In which year did the area under cultivation of Rice in the Winter season increase by the greatest rate?
2007
2008
2009
2010
Q6. Arrange the following in increasing order of their magnitudes
I. The area under cultivation of Jowar in the Summer season in the year 2009
II. the area under cultivation of Maize in the Winter season in the year 2007
III. the area under cultivation of Pulses in the Summer season in the year 2010
I,II, III
I, III, II
II, III, I
III, II, I
Q7. The area under cultivation of which crop was the highest in the Winter season of 2008?
Rice
Jowar
Maize
Pulses
CAT Practice Papers: Answers And Solutions
Part B (LRDI)
Solutions:
Since , and we are given Production and Yield figures, so re-arranging the relation to get area, we have . With the units given, we will get the area in million hectares.
4. c
Just check the table where the yield in second row is more then the yield in the first row in 2008
We see that for Rice, Maize and Pulses, the yield in Summer is more than the yield in Winter.
5. b
The area under cultivation of rice in Winter season in successive years can be found as . And we have to find in which year the growth rate is the greatest. Just by solving the above fraction, we found that in 2008 we have the highest growth rate
6. a
I. Area = = 4.46
II. Area = =6.4
III. Area = =10.51
Thus, increasing order will be I, II, III
7. a
The area for Rice, Jowar, Maize and Pulses is found as
Part-C : VARC for CAT 2025
In the questions below, find the phrase with error.
Q1: As Franklin ran (a)/ next the street, he wondered (b)/ what he should buy.(c)/ No Error (d)
(a)
(b)
(c)
(d)
Ans: B.
“Along the street” should be there in place of “next the street”
Q2. Hardly had he visited(a)/ his friend’s house(b) when got invited(c). No Error(d)
(a)
(b)
(c)
(d)
Ans: A
In interrogative sentences, the first form of the verb should be used.
‘Visit’ should be there
Q3. This view has been taken (a)/ by one of the ablest persons (b)/ who has written on this subject (c)/. No error(d)
(a)
(b)
(c)
(d)
Ans. C
‘Have’ in place of ‘has’ should be there. (Plural verb should come with plural noun)
Q4. Due to population, Indian(a)/ agriculture are in pressure to raise(b)/ more and more crops. (c) /No Error(d)
(a)
(b)
(c)
(d)
Ans: B
‘Under pressure’ will be there in place of ‘in pressure’.
Q5. We must have(a)/ sympathy for the needy (b)/ and the poor. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans: D
for the needy (use of definite article)
Q6. Prince Charles is a heir (a)/ to the throne(b)/ of Great Britain. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans. A
‘an’ in place of ’a’ due to the vowel sound of an heir.
Q7. The roads of Agra(a)/ are wider and cleaner(b)/ than Noida. (c)/ No Error (d)
(a)
(b)
(c)
(d)
Ans. C
“than those of Noida” will be the correct phrase. (Comparison should be with similar things.)
Q8. The teacher asked(a)/ the student’s father to (b)/ put his sign on the report card. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans. C
‘Signature’ in place of ‘sign’
Hope everyone learned the concepts and will practice more!
Q: How to prepare for CAT while working full-time?
A:
Working professionals need to adopt an intelligent study schedule, allocating 2-3 hours every day on weekdays and extended study sessions on weekends. Focus on high-weightage subjects, adopt online courses or mobile apps for flexible learning, and practice sectional and full-length mock tests to monitor progress.
Q: How should I start preparing for CAT 2025?
A:
Start with knowing the CAT syllabus and exam pattern. Concentrate on developing a strong base in Quantitative Aptitude (QA), Data Interpretation & Logical Reasoning (DILR), and Verbal Ability & Reading Comprehension (VARC). Develop a systematic study plan, practice mock tests on a regular basis, and review your performance to strengthen weak areas.
Q: How to score 99+ percentile in CAT?
A:
In order to achieve 99+ percentile, the candidates need to excel in all three sections, improve their time management skills, and solve 30–40 full-length mocks with a thorough analysis. Consistency, revising weak points, and implementing an exam-day plan for every section are essential to securing a high percentile.
Q: How to improve accuracy in CAT Logical Reasoning and Data Interpretation (LRDI)?
A:
Solve puzzles, seating arrangements, and DI caselets on a regular basis to build logical reasoning. Practice various sets of LRDI on a daily basis to build speed and pattern recognition. Mock tests and previous year questions assist in enhancing accuracy and time management.
Q: What are the most important topics for CAT Quantitative Aptitude?
A:
The most important subjects are Arithmetic (Percentages, Profit & Loss, Time-Speed-Distance), Algebra (Quadratic & Linear Equations), Number System, Geometry, and Mensuration. These are often asked in CAT and thus must be emphasized more while preparing.
The results for the CAT 2025 entrance, which is conducted on November 30, 2025, were declared on December 22, 2025. Candidates can download and see their results on the official IIM CAT website. On the website, click on the "CAT 2025 Result/Scorecard" link to download the result by entering the required details.
The link to the website where you can check the published result is attached herewith. The result will be out soon. You can also check the cutoffs on the website of Careers360.
CAT does not restrict eligibility based on stream. Candidates from commerce, arts, science, engineering or any other background can appear for CAT and apply to MBA programmes offered by IIMs and other top B-schools.
The basic eligibility criteria for CAT are:
You must hold a bachelor’s degree in any discipline from a recognised university with at least 50 percent marks (45 percent for SC, ST and PwD categories). Final-year graduation students are also eligible to apply.
Being a commerce graduate can actually be an advantage in areas such as accounting, finance, economics and business studies, especially during MBA coursework in finance, marketing and operations.
After qualifying CAT, admission depends on multiple factors including CAT percentile, academic background, work experience (if any), performance in GD, WAT and personal interview rounds. Many IIMs and B-schools follow a diverse academic background policy, which means non-engineering candidates, including commerce graduates, often receive additional weightage.
Apart from IIMs, several reputed institutes such as FMS Delhi, SPJIMR Mumbai, MDI Gurgaon, IMT Ghaziabad, and many state and private universities also accept CAT scores for MBA admissions.
So, as a commerce graduate, you are fully eligible to appear for CAT and pursue an MBA, provided you meet the minimum academic requirements and perform well in the selection process.
If you want, I can also help you with realistic CAT percentile targets based on your academic profile or suggest suitable MBA colleges.
With a CAT 2025 raw score of 84 and strong sectionals, your expected percentile may fail in the high 98 range , depending on scaling. Your excellent academics and 2 years of work experience strengthen your profile .IIM Lucknow calls are possible but competitive for EWS engineers , while FMS Delhi looks mainly at CAT score and VARC , so you have a reasonable chance there . Final calls depend on cutoffs and composite score.
For a raw score of 56 in CAT 2025 Slot 3, your expected overall percentile is likely to be in the range of the 90th-95th percentile. The exact percentile can vary slightly on the final normalization process and the process and performance of all test-takers. In this
article
you'll find more about the CAT result.
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.
2 Jobs Available
Never miss CAT update
Get timely CAT updates directly to your inbox. Stay informed!
, and we are given Production and Yield figures, so re-arranging the relation to get area, we have 
. With the units given, we will get the area in million hectares.
. And we have to find in which year the growth rate is the greatest. Just by solving the above fraction, we found that in 2008 we have the highest growth rate
= 4.46
=10.51
