Centre for Advanced Studies in Mathematics

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Number of Questions: 15
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In which year was the Centre for Advanced Studies in Mathematics (CAM) established?

  1. 1962

  2. 1965

  3. 1968

  4. 1971


Correct Option: A
Explanation:

The Centre for Advanced Studies in Mathematics (CAM) was established in 1962 at the University of Bombay (now Mumbai).

Who was the founder and first director of CAM?

  1. S. S. Shrikhande

  2. C. R. Rao

  3. K. S. Chandrasekharan

  4. M. S. Narasimhan


Correct Option: A
Explanation:

S. S. Shrikhande was the founder and first director of CAM.

What are the main objectives of CAM?

  1. To promote research in mathematics

  2. To provide advanced training to students in mathematics

  3. To foster collaboration between mathematicians in India and abroad

  4. All of the above


Correct Option: D
Explanation:

The main objectives of CAM are to promote research in mathematics, to provide advanced training to students in mathematics, and to foster collaboration between mathematicians in India and abroad.

Which of the following is not a research area at CAM?

  1. Algebra

  2. Analysis

  3. Geometry

  4. Topology


Correct Option: D
Explanation:

Algebra, Analysis, and Geometry are research areas at CAM. Topology is not a research area at CAM.

CAM has produced many notable mathematicians. Who among the following is not a CAM alumnus?

  1. C. S. Seshadri

  2. M. S. Raghunathan

  3. S. Ramanujan

  4. R. Parthasarathy


Correct Option: C
Explanation:

C. S. Seshadri, M. S. Raghunathan, and R. Parthasarathy are all CAM alumni. S. Ramanujan was not a CAM alumnus.

CAM organizes various academic activities throughout the year. Which of the following is not an academic activity organized by CAM?

  1. Conferences

  2. Workshops

  3. Seminars

  4. Exhibitions


Correct Option: D
Explanation:

Conferences, Workshops, and Seminars are academic activities organized by CAM. Exhibitions are not organized by CAM.

CAM publishes a journal called the 'Bulletin of the Centre for Advanced Studies in Mathematics'. What is the frequency of publication of this journal?

  1. Monthly

  2. Quarterly

  3. Biannually

  4. Annually


Correct Option: C
Explanation:

The 'Bulletin of the Centre for Advanced Studies in Mathematics' is published biannually.

CAM has a library that houses a collection of books, journals, and other resources related to mathematics. Approximately how many books are there in the CAM library?

  1. 5,000

  2. 10,000

  3. 15,000

  4. 20,000


Correct Option: C
Explanation:

The CAM library houses a collection of approximately 15,000 books.

CAM offers various fellowships and scholarships to students pursuing research in mathematics. Which of the following is not a fellowship offered by CAM?

  1. Junior Research Fellowship

  2. Senior Research Fellowship

  3. Postdoctoral Fellowship

  4. Visiting Fellowship


Correct Option: D
Explanation:

Junior Research Fellowship, Senior Research Fellowship, and Postdoctoral Fellowship are fellowships offered by CAM. Visiting Fellowship is not offered by CAM.

CAM has established collaborations with several universities and research institutions around the world. Which of the following is not a partner institution of CAM?

  1. University of Cambridge

  2. Harvard University

  3. Stanford University

  4. Tokyo University


Correct Option: D
Explanation:

University of Cambridge, Harvard University, and Stanford University are partner institutions of CAM. Tokyo University is not a partner institution of CAM.

CAM has made significant contributions to the field of mathematics. Which of the following is not a notable achievement of CAM?

  1. Development of new mathematical theories

  2. Training of talented mathematicians

  3. Solution of major mathematical problems

  4. Organization of international conferences


Correct Option: D
Explanation:

Development of new mathematical theories, Training of talented mathematicians, and Solution of major mathematical problems are notable achievements of CAM. Organization of international conferences is not a notable achievement of CAM.

CAM has received several awards and recognitions for its contributions to mathematics. Which of the following is not an award received by CAM?

  1. Shanti Swarup Bhatnagar Prize

  2. Padma Shri Award

  3. Fields Medal

  4. Ramanujan Prize


Correct Option: C
Explanation:

Shanti Swarup Bhatnagar Prize, Padma Shri Award, and Ramanujan Prize are awards received by CAM. Fields Medal is not an award received by CAM.

CAM has played a vital role in promoting mathematics education and research in India. Which of the following is not an initiative of CAM in this regard?

  1. Conducting outreach programs

  2. Organizing workshops for teachers

  3. Publishing textbooks and study materials

  4. Establishing a museum of mathematics


Correct Option: D
Explanation:

Conducting outreach programs, Organizing workshops for teachers, and Publishing textbooks and study materials are initiatives of CAM in promoting mathematics education and research in India. Establishing a museum of mathematics is not an initiative of CAM.

CAM has a strong commitment to equity and inclusion in mathematics. Which of the following is not an effort of CAM in this regard?

  1. Providing scholarships to underprivileged students

  2. Encouraging women and minorities to pursue careers in mathematics

  3. Organizing workshops on gender and diversity in mathematics

  4. Conducting outreach programs in rural areas


Correct Option: D
Explanation:

Providing scholarships to underprivileged students, Encouraging women and minorities to pursue careers in mathematics, and Organizing workshops on gender and diversity in mathematics are efforts of CAM in promoting equity and inclusion in mathematics. Conducting outreach programs in rural areas is not an effort of CAM in this regard.

CAM has a bright future ahead. Which of the following is not a goal of CAM for the future?

  1. Expanding research activities

  2. Strengthening collaborations with international institutions

  3. Attracting top-notch students and faculty

  4. Establishing a center for applied mathematics


Correct Option: D
Explanation:

Expanding research activities, Strengthening collaborations with international institutions, and Attracting top-notch students and faculty are goals of CAM for the future. Establishing a center for applied mathematics is not a goal of CAM for the future.

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