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List of IIMs in India: Courses Offered, Rankings, Fees, Seat Intake, Admission

List of IIMs in India: Courses Offered, Rankings, Fees, Seat Intake, Admission

Edited By Sundararajan | Updated on Jun 24, 2024 06:02 PM IST | #CAT

IIMs in India - There are 21 IIMs in India. If you want to pursue an MBA at one of the best B-schools in India, you should aim for one of the Indian Institutes of Management in India. IIMs are top ranked B-schools in India offering postgraduate management programmes like MBA, PGP, Executive MBA, PhD, FPM, and MBA for working professionals. Read this article to know more details about IIMs in India, fee structure, seat intake, etc.

List of IIMs in India

IIMs are among the top ranked MBA colleges in India that guarantee a thriving career in management. Admission to the MBA/PGP programme at IIMs is based on the Common Entrance Test (CAT) conducted by the institute.

For some executive MBA courses, GMAT scores are accepted for both domestic and foreign applicants. Check out below the list of IIMs in India and know all about fee structure, seat intake, and offered courses. Aspirants preparing for CAT 2024 must know all about IIMs to target the institute of choice.

Check out the best IIM in India as per ranking, fee, placement

IIMs in India: Overview

IIMs are the top management institutes in India in several rankings and surveys (NIRF, Business Today, India Today, Financial Times). There are 21 IIMs in India offering various MBA, PGP, Executive MBA, PGDM, and Fellowship programmes (IIM Mumbai was added recently).

The top 3 IIMs are the oldest campuses. IIM Calcutta and IIM Ahmedabad were established in 1961. IIM Bangalore was established after 12 years in 1973. Between 2008 to 2016, 14 IIMs were established. The latest addition to IIMs is IIM Mumbai, which was earlier NITIE Mumbai. In 2023, NITIE was renamed IIM Mumbai.

Check out the key highlights of the IIMs in India and their rankings.

  • IIMs are located across the country and are highly ranked in terms of academics, faculty, infrastructure, and training.

  • IIM Ahmedabad, IIM Bangalore, and IIM Calcutta are among the top 50 institutes in the world for management education.

  • Six of the 21 IIMs feature in the top 10 in the NIRF-MHRD ranking of the best management institutes in India.

  • These colleges are also known for high paying employment opportunities in the corporate and government sectors.

  • Admission to MBA/ PGP courses offered by IIMs is done through CAT exam scores, a written aptitude test (WAT), group discussions (GD) and a personal interview (PI).

  • For Executive PGP courses, CAT and GMAT scores are accepted for shortlisting candidates for WAT/GD and PI rounds.

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Full Form of IIM

The IIM full form is Indian Institute of Management. IIMs are management institutes that focus on educating young people about business management and research. The institute was established in 1984 and has helped shape millions of lives by providing high-quality education to students and helping them shape their careers. IIMs have various campuses across the country; they are located in Calcutta, Lucknow, Ahmedabad, Bangalore, and many more.

List of IIMs in India: All India NIRF Ranking 2023 for MBA

Below is the list of IIMs by year of establishment and the All India NIRF MBA Ranking. IIM Ahmedabad and IIM Calcutta are the oldest among all the IIM colleges in India and IIM Jammu is the youngest.

IIMA is considered the best IIM in India, as it has been ranked number one for many years and has a large alumni base. Here is the table indicating the latest IIM rankings by MHRD-NIRF.

IIM List

Year of Establishment

IIM Rankings

IIM Ahmedabad ranking

1961

1

IIM Bangalore NIRF ranking

1973

2

IIM Kozhikode ranking

1997

3

IIM Calcutta ranking

1961

4

NIRF ranking for IIM Lucknow

1984

6

IIM Mumbai (formerly NITIE) ranking

1963 (renamed in 2023)

7

IIM Indore ranking

1996

8

IIM Raipur ranking

2010

11

IIM Rohtak ranking

2009

12

IIM Udaipur NIRF ranking

2009

16

IIM Kashipur ranking

2011

19

IIM Tiruchirappalli ranking

2011

22

IIM Ranchi NIRF ranking

2010

24

Ranking of IIM Shillong

2008

26

IIM Visakhapatnam NIRF ranking

2015

29

IIM Jammu ranking

2016

41

IIM Nagpur ranking

2015

43

IIM Amritsar NIRF ranking

2015

51

IIM Bodh Gaya ranking

2015

53

IIM Sambalpur ranking

2015

58

IIM Sirmaur NIRF ranking

2015

98

IIM Admission Process

The admission process for IIMs includes a CAT entrance test, a written aptitude test (WAT), group discussions (GD) and a personal interview (PI). For the flagship programme of IIM - MBA/ PGP, CAT scores are accepted for admission.

Foreign candidates can apply through the GMAT. Candidates have to appear for CAT (GMAT in the case of international students) and then qualify for the WAT-GD-PI round for admission. For executive programmes, the selection of candidates is usually done on the basis of a written test, work experience, statement of purpose, etc. prepared by the institute.

IIMs in India: Programmes Offered

IIMs offer postgraduate, doctoral, and executive education programmes:

  • MBA/PGP: The two-year Post Graduate Programme (PGP) in Management programme is the flagship programme at all IIMs and is considered equivalent to regular MBA programmes. After the enactment of the IIM Act 2017, most of the IIMs have started offering Master of Business Administration (MBA) degrees. IIMs are well known and rated for this two year full time MBA/ PGP course.

  • EPGP: Executive Post Graduate Programme (EPGP) is offered by almost all IIMs. This course is designed for mid-level professionals with 5-12 years of work experience.

  • PGPX: Some IIMs also offer a one-year postgraduate diploma programme for graduates with work experience.

  • FPM: Some IIMs offer a Fellow Programme in Management (FPM), a doctoral programme that is globally considered equivalent to a Ph.D.

  • IPM: Integrated Programme in Management (IPM) is one of the five-year post-12 courses offered by IIM Indore, IIM Ranchi, IIM Rohtak, IIM Bodh Gaya and IIM Jammu.

  • Certificate Executive Programmes (Short-Term or Part Time): Most IIMs also offer part-time programmes, short-term executive education/ EMBA courses.

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Which is the 1st IIM in India?

The IIM Ahmedabad was the first IIM established in the year 1961 and the institute has been ranked in first position as per the NIRF report 2023. Admission to the IIM A is strictly based on the CAT score, previous educational background and professional experience. The IIM Ahmedabad courses include MBA, PGP, and Executive MBA.

IIMs in India: Courses, Seats, Fees, and Ranking

Check out the IIM list rank wise and their fee structure, programme offered, seat intake, and NIRF ranking below.

1. IIM Ahmedabad

The Indian Institute of Management (IIM), Ahmedabad, is the first and one of the best IIM in India. Established in 1961, the college has been ranked among the best in the world for its various management programmes.

IIM Ahmedabad

PGP Seats

PGP Fees

NIRF MBA Ranking 2023

Post Graduate Programme in Management (PGP in Management)

385

Rs 25 Lakh

1

2. IIM Bangalore

Indian Institute of Management (IIM), Bangalore, is best known for its flagship Post Graduate Programme (PGP) in Management. Globally, it has been ranked in the top 50 for many years.

IIM Bangalore

PGP Seats

PGP Fees

NIRF MBA Ranking

• Post Graduate Programme (PGP)

• Post Graduate Programme in Enterprise Management (PGPEM)

• Post Graduate Programme in Public Policy & Management (PGPPM)

430

Rs 24.5 Lakh

2

3. IIM Calcutta

Indian Institute of Management (IIM), Calcutta, has been ranked fourth in the MHRD-NIRF Ranking 2023. Established in 1961, IIM Calcutta offers three management courses - full time, executive, and fellow programmes.

IIM Calcutta

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Diploma in Management (PGP-PGDM)

210

Rs 23 Lakh

4

4. IIM Kozhikode

Established in 1997, the Indian Institute of Management (IIM), Kozhikode has shown steady growth in its reputation and quality of education over the years, which is why the MHRD-NIRF Ranking 2023 has ranked it 3rd among the top established business schools.

IIM Kozhikode

PGP Seats

PGP Fees

NIRF MBA Ranking

• Post Graduate Programme (PGP)

• Management Development Programme (MDP)

• Faculty Development Programme (FDP)

375

Rs 22.50 lakh

3

5. IIM Lucknow

The Indian Institute of Management (IIM), Lucknow was established in 1984. It offers various PGP, EPGP, and Fellow programmes and is the first IIM to set up a satellite campus in a different city (Noida).

IIM Lucknow

PGP Seats

PGP Fees

NIRF MBA Ranking

• Post Graduate Programme in Management (PGP)

• PGP in Agribusiness Management

• PGP in Sustainable Management

436

Rs 20.5 Lakh

6

6. IIM Indore

The Indian Institute of Management (IIM), Indore, was established in 1996 and quickly built a reputation as one of the best B-schools in India for its quality education, infrastructure, and ROI (return on investment).

IIM Indore

PGP Seats

PGP Fees

NIRF MBA Ranking

• Post Graduate Programme in Management (PGP)

• Integrated Programme in Management (IPM)

• Post Graduate Programme in Human Resource Management (PGP-HRM)

451

Rs 21.60 lakh

8

7. IIM Trichy

Indian Institute of Management (IIM), Tiruchirappalli is one of the newest additions to the collection of IIM campuses. Established in 2011, IIM Trichy has been ranked 22nd in MHRD-NIRF Ranking 2023. Currently it offers PGPM and FMP programmes.

IIM Trichy

PGP Seats

PGP Fees

NIRF MBA Ranking

• Postgraduate Programme in Management (PGPM)

• Post Graduate Programme in Business Management (PGPBM)

180

Rs 21.00 lakh

22

8. IIM Udaipur

Established in 2009, Indian Institute of Management (IIM), Udaipur is ranked 16th in the MHRD-NIRF Ranking 2023. Apart from PGP, the institute offers fellowship programs, executive programs, and an entrepreneurship programme exclusively for women.

IIM Udaipur

PGP Seats

PGP Fees

NIRF MBA Ranking

• Post Graduate Programme (PGP)

• Entrepreneurs Post Graduate Programme (PGP)

260

Rs 22.20 lakh

16

9. IIM Shillong

The Indian Institute of Management (IIM), Shillong was established in 2008 with the aim of providing world-class management education in the northeastern region of the country.

IIM Shillong

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP)

120

Rs 14.60 lakh

26

10. IIM Ranchi

The Indian Institute of Management (IIM), Ranchi was established in 2010 under the auspices of IIM Calcutta. It is one of the few IIMs that offer Human Resource Management programmes. Apart from this, IIM Ranchi offers PGDM in General Management, FPM and Management programmes. It also offers a 5-year integrated MBA programme.

IIM Ranchi

PGP Seats

PGP Fees

NIRF MBA Ranking

  • Post Graduate Diploma in Management

  • Post Graduate Diploma in Human Resource Management

  • Post Graduate Programme in Enterprise Management

  • Integrated Programme in Management

240

Rs 17.50 lakh

24

11. IIM Bodh Gaya

Indian Institute of Management (IIM), Bodh Gaya is one of the new IIM campuses. It was established in 2015. This institute currently only offers the PGP programme.

IIM Bodh Gaya

PGP Seats

PGP Fees

NIRF MBA Ranking

  • Post Graduate Programme in Management (PGP)

  • Integrated Programme in Management (IPM)

120

Rs 17.00 lakh

53

12. IIM Rohtak

Indian Institute of Management (IIM), Rohtak was established in 2009. Within 10 years of its establishment, IIM Rohtak started offering various courses.

IIM Rohtak

PGP Seats

PGP Fees

NIRF MBA Ranking

  • Post Graduate Programme in Management (PGP)

  • Integrated Programme in Management (IPM)

240

Rs 17.10 Lakh

12

13. IIM Amritsar

Established in 2015, Indian Institute of Management (IIM), Amritsar currently offers only PGP programmes. Despite being one of the newer campuses, IIM Amritsar has a good reputation among recruiters.

IIM Amritsar

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP)

60

Rs 21.00 lakh

51

14. IIM Kashipur

Indian Institute of Management (IIM), Kashipur was established in 2011 and currently offers the institute's flagship PGP and FPM programmes.

IIM Kashipur

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP)

210

Rs 17.30 Lakh

19

15. IIM Raipur

Indian Institute of Management (IIM), Raipur was established in 2010 by the Government of India (GOI). The institute currently offers PGP, FPM and EFPM.

IIM Raipur

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme (PGP)

210

Rs 18 lakh

11

16. IIM Visakhapatnam

Indian Institute of Management (IIM), Visakhapatnam was established in 2015 and currently offers PGP, PGCEP (Weekend Program for Business Professionals) and FPM.

IIM Visakhapatnam

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP)

60

Rs 17.82 lakh

29

17. IIM Jammu

Indian Institute of Management (IIM), Jammu is the latest addition to the IIM cluster. Established in 2016, the institute currently offers PGP and FPM along with some open programmes in executive education.

IIM Jammu

PGP Seats

PGP Fees

MHRD-NIRF MBA Ranking

  • Post Graduate Diploma Programme (PGDP)

  • Integrated Programme in Management (IPM)

45

Rs 18.85 Lakh

41

18. IIM Nagpur

Indian Institute of Management (IIM), Nagpur is another newly established campus offering PGP programme. It was established in 2015.

IIM Nagpur

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP)

130

Rs 18.90 lakh

43

19. IIM Sirmaur

Indian Institute of Management (IIM), Sirmaur was established in 2015 and is mentored by IIM Lucknow. It currently only offers the PGP program.

IIM Sirmaur

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP in Management)

180

Rs 17.00 Lakh

98

20. IIM Sambalpur

Indian Institute of Management (IIM), Sambalpur was established in 2015. It currently offers a Master Programme - PGP with Executive and Fellow courses.

IIM Sambalpur

PGP Seats

PGP Fees

NIRF MBA Ranking

Post Graduate Programme in Management (PGP)

120

Rs 21.03 Lakh

58

21. IIM Mumbai

Formerly NITIE, Indian Institute of Management (IIM), Mumbai is ranked 7th in NIRF Ranking 2023. NITIE was established in 1963 and since then it has been producing top quality management graduates. It offers MBA, MBA Sustainability Management), MBA (Supply Chain and Management), PGDEX and other global certifications.

IIM Mumbai

MBA Seats

MBA Fees

NIRF MBA Ranking

Master of Business Administration (MBA)

300

Rs 21 lakh

7

IIM Results 2024

The Indian Institute of Management has released the final results on their respective official websites. The educational institutes inform the students through email whether they are shortlisted or waitlisted. Check out the list of IIMs and their shortlist status below.

List of IIMs in IndiaIIMs Shortlist Status
IIM Ahmedabad resultIIM Ahmedabad shortlist status
IIM Bangalore resultIIM Bangalore shortlist status
IIM Calcutta resultIIM Calcutta shortlist status
IIM Lucknow resultIIM Lucknow shortlist status
IIM Indore resultIIM Indore shortlist status
IIM Kozhikode resultIIM Kozhikode shortlist status
IIM Shillong resultIIM Shillong shortlist status
IIM Rohtak resultIIM Rohtak shortlist status
IIM Trichy resultIIM Trichy shortlist status
IIM Udaipur resultIIM Udaipur shortlist status
IIM Ranchi resultIIM Ranchi shortlist status
IIM Kashipur resultIIM Kashipur shortlist status
IIM Raipur resultIIM Raipur shortlist status
IIM Amritsar resultIIM Amritsar shortlist status
IIM Bodhgaya resultIIM Bodhgaya shortlist status
IIM Nagpur resultIIM Nagpur shortlist status
IIM Visakhapatnam resultIIM Visakhapatnam shortlist status
IIM Jammu resultIIM Jammu shortlist status
IIM Sambalpur resultIIM Sambalpur shortlist status
IIM Sirmaur resultIIM Sirmaur shortlist status
IIM Mumbai resultIIM Mumbai shortlist status
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Which IIM has highest salary in India?

As per the latest IIM placement reports, the highest domestic and international salary package was offered by IIM Ahmedabad. The IIM Ahmedabad highest package was around Rs. Rs 1.46 CPA and average package stood at Rs. 34 LPA. THe international salary package offered at IIM A was about Rs. 1.32 CPA.

Frequently Asked Question (FAQs)

1. Which IIM has the lowest fees? Which IIM is best for placement?

The cheapest IIM in India is IIM Bodh Gaya with Rs 17 lakh fees. IIM Ahmedabad has seen an upward trend in terms of placement trends, salary packages, and the participation of institutions.

ParticularsPGP Placement Statistics (2023)PGP-FABM Placement Statistics (2023)PGPX Placement Statistics (2023)
Highest packageRs 1.46 crore per annumRs 33.39 LPARs 1.08 crore per annum
Average packageRs 34.45 LPARs 20.11 LPARs 35.68 LPA
Median packageRs 31.58 LPARs 20 LPARs 33.05 LPA
Lowest packageRs 18.05 LPARs 14.97 LPARs 18 LPA
Offers accepted / Students Placed38546128
Eligible students38947140
Students opted out4110
Students not placed002
2. What does baby IIMs mean?

Baby IIMs refers to newly established IIMs, which include IIM Nagpur, IIM Visakhapatnam, IIM Amritsar, IIM Bodhgaya, IIM Sirmaur, IIM Sambalpur, and IIM Jammu. These IIMs were established after 2010 and offer very few courses except PGP.

3. What are the courses offered by IIMs?

IIMs offer MBA and PGDM programmes with various specializations as well as PG Diploma in Business Analytics, Executive MBA, FPM, MDP, and various certificate programmes.

4. What is IIM CAP?

IIM CAP refers to a common admission process under which an IIM is entrusted with the responsibility of shortlisting candidates for the WAT-PI round of nine news IIMs. The IIM CAP 2024 is being conducted by IIM Kashipur.

5. Which IIMs offer BBA courses?

IIM Rohtak, IIM Ranchi, IIM Indore, IIM Bodhgaya, and IIM Jammu offer BBA courses as a five-year integrated program (BBA+MBA). Admission to the IPM course is based on entrance tests like JIPMAT and IPMAT.

6. What is IIM SAP?

The supplementary admission process or SAP 2024 is the final exam for MBA admissions 2024 in three infant IIMs namely IIM Bodhgaya, IIM Sirmaur, and IIM Jammu. IIM SAP will be conducted for candidates who are not shortlisted for IIM CAP round.

7. How many IIM in India?

There are 21 IIMs in India offering various MBA, PGDM, PGP, Executive MBA, and Fellowship programmes (IIM Mumbai is the latest addition).

8. Which is the No. 1 IIM in India?

The Indian Institute of Management (IIM), Ahmedabad, is the top IIM in India.

9. Which are the top 7 IIMs?
  • IIM Ahmedabad
  • IIM Bangalore
  • IIM Calcutta
  • IIM Lucknow
  • IIM Indore
  • IIM Kozhikode
  • IIM Mumbai (Formerly NITIE)
10. What is IIM salary?

While the average CTC for new IIMs is between Rs 10 and 20 LPA, the average CTC for top IIMs is between Rs 20 and 25 LPA. In top-tier IIMs A, B, and C, the maximum salary offers range from Rs 70 lakh to Rs 1 crore as CTC.

11. Which is better, IIM or IIT?

If you are inclined towards a traditional management education with a strong focus on business administration, then an IIM would be a better choice. If you have a keen interest in the intersection of technology and business, an IIT with an MBA programme can provide a distinct edge.

12. Which IIM is best for MBA?

"Which IIM is best for MBA?" The answer to the question depends on various factors.

  • Rankings and Reputation 
  • Location 
  • Diverse Specializations: Tailoring Your MBA
  • Faculty and Curriculum 
  • Placements Opportunities 
  • Campus Infrastructure  
  • Alumni Network: A Lifelong Resource

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Questions related to CAT

Have a question related to CAT ?

Hello aspirant,

Every year, IIMs conduct the Common Admission Test (CAT), a national MBA entrance exam, in rotation. For admission to over 1,200 institutions and premier B-schools in India, as well as PGDM, Executive MBA, PhD, and FPM programmes, the IIM CAT exam is regarded as one of the most difficult MBA entrance exams to pass. One of the best MBA schools in India, IIMs offers PGDM and MBA programmes for students who pass the CAT exam with scores in the 82nd to 99th percentiles.

For complete information you can visit our website by clicking on the link given below.

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Hello!

The educational qualification required for CAT exam is bachelor's degree or its equivalent from a recognized university with minimum of 50% for the open category and 45% for the SC/ST/PwD category. Since you have secured more than the required percentage in your bachelor's degree, you are eligible for CAT exam.

For more information, please visit the website by clicking on the link given below:

https://bschool.careers360.com/articles/cat-eligibility-criteria

I hope you will find this information helpful. Best wishes ahead!

Hello Aspirant,

Yes, you can sit for the CAT exam with a CGPA of 8.5. However when you do crack the CAT exam and have to sit for the interview round or the Group discussion round, you will be asked the question about 4 years of graduation, in which case, carry your hospital records and medical certificates to prove to them that you actually had some health issues during your graduation. This shouldn't be a problem because you had a genuine reason for the one-year gap.

Hello,

Getting admission to an IIM without taking the CAT is possible through alternative routes such as:

1. Executive MBA (PGPX,EPGP,ect .)  : Many IIMs offer Executive MBA programs for experienced professionals, which may require GMAT scores instead of CAT .

2.Integrated programs: Some IIMs offer integrated programs like IPM (Integrated Program in Management), where admission cab be based on entrance exams other than CAT.

3.Doctoral programs (Ph.D.): Some IIMs accept GMAT/GRE scores for their doctoral programs .

4. Specialized Courses: IIMs offer various short-term and ccertificate programs that don't require CAT scores.

Check the specific IIM websites for detailed admission criteria and processes for these programs .


The Common Admission Test, is a computer based standardized test conducted in India. It is one of the most prestigious and competitive entrance exams for admission into postgraduate management programs, Including MBA, in various Indian Institutes of Management and other top business schools across the country.

To know more about CAT 2024 like exam date, eligibility, syllabus and more, click on the below link.

https://bschool.careers360.com/articles/cat-2024


View All

1-radian measures 600. (True/False)

Option: 1

True


Option: 2

False


$111111^2$ = 

Option: 1

123456654321


Option: 2

123454321


Option: 3

123454321


Option: 4

12345654321


1111112 =___________ 

Option: 1

 123456654321


Option: 2

1234554321


Option: 3

123454321


Option: 4

12345654321


159702 is divisible by

Option: 1

7


Option: 2

9


Option: 3

11


Option: 4

6


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What best can be said about the number of satellites serving C? 

Option: 1

Must be between 450 and 725 

 


Option: 2

Cannot be more than 800 
 


Option: 3

Must be between 400 and 800 

 


Option: 4

Must be at least 100 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What is the minimum possible number of satellites serving B exclusively? 

Option: 1

100


Option: 2

200


Option: 3

500


Option: 4

250


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 

Option: 1

At most 475 

 


Option: 2

Exactly 475 
 


Option: 3

At least 475 

 


Option: 4

No conclusion is possible based on the given information 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

 If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 

Option: 1

The number of satellites serving C cannot be uniquely determined 

 


Option: 2

The number of satellites serving B is more than 1000 
 


Option: 3

All 1600 satellites serve B or C or S 

 


Option: 4

The number of satellites serving B exclusively is exactly 250 


2839155 is divisible by

Option: 1

2


Option: 2

7


Option: 3

55


Option: 4

None of the above


'a' for which x^{2}-ax+9= 0 can be written as square of a linear factor is

Option: 1

6


Option: 2

-6,6


Option: 3

\left ( 6,\infty \right )


Option: 4

\left ( -\infty,-6 \right )


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