Stage 3 of the Mathematical Olympiad programme: a four and a half hour written test with six problems, each question worth 17 marks (102 marks in all); each question requires writing a detailed proof; offline, pen and paper, descriptive.
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Olympiads - Homi Bhabha Centre for Science Education
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Official website · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
Opened https://olympiads.hbcse.tifr.res.in/ on 2026-10-05; it is the Olympiads site of HBCSE (TIFR) and links the Syllabus, Olympiad Books, Information Brochures, Stages and Past papers pages and the 2026-2027 Mathematical and Science Olympiad pages.
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Syllabus - Olympiads (HBCSE)
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Syllabus · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
Opened https://olympiads.hbcse.tifr.res.in/how-to-prepare/syllabus/ on 2026-10-05 and read its text. The page carries the 'Syllabus for National Standard Examination and Indian National Olympiad in Physics, Chemistry, Biology, Astronomy and Junior Science' (tabs Biology, Chemistry, Physics, Astronomy, Junior Science) and a 'Mathematical Olympiad' tab. Every topic list in this file was cut from that page text and compared back with it (lower-case letters and digits only, ignoring spacing): every unit title and every topic phrase occurs in the page text. Not compared: the page as rendered (images); the lists of recommended books on the Mathematical tab are not syllabus and are not copied.
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Brochure Mathematical Olympiad 2026-27
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Exam scheme / pattern · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
Downloaded the 35-page PDF linked from https://olympiads.hbcse.tifr.res.in/mathematical-olympiad-2026-2027/ on 2026-10-05 and read its text layer. It describes Stage 1 IOQM (p. 5), Stage 2 RMO (p. 8), Stage 3 INMO (p. 9), the stage table with number of questions, marks and duration (pp. 11-12), Stage 4 a) IMOTC and 4 b) EGMOTC (p. 12), Stage 5 A IMO (p. 14) and 5 B EGMO (p. 15), and prints the 'Syllabus for Mathematical Olympiad' (p. 15). Statements recorded in this file were each checked against those pages. Dates, venues, quotas, prizes and fees are not copied.
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INMO 2026 - Question paper (English)
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Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'English' for 2026. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2026 - Question paper (Hindi)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Hindi' for 2026. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2025 - Question paper
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as '1. Question Paper' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2024 - Solutions
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2024 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as '2. Solutions' for 2024. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2024 - Question paper
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2024 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Question Paper' for 2024. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2023 - Question paper
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2023 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as '1. Question Paper' for 2023. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2023 - Solutions
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2023 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as '2. Solutions' for 2023. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2021 - Question paper
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2021 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2021 – Questions' for 2021. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2021 - Solutions
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2021 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2021 – Solution' for 2021. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2020 - Solutions
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2020 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2020 – Solutions' for 2020. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2020 - Question paper
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2020 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2020 – Questions' for 2020. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2019 - Answer key
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Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2019 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Answer Key to INMO 2019' for 2019. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2017 - Question paper
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2017 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2017' for 2017. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2017 - Solutions
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2017 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2017. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2016 - Question paper (English)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'English Version' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2016 - Question paper (Hindi)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as '.Hindi Version' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2016 - Solutions
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2015 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2015' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2014 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2014' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2013 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2013' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2012 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2012 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2012' for 2012. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2011 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2011 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2011' for 2011. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2010 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2010 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2010' for 2010. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2009 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2009 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2009' for 2009. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2007 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2007 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2007' for 2007. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2006 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2006 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2006' for 2006. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2005 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2005 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2005' for 2005. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2004 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2004 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2004' for 2004. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2003 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2003 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2003' for 2003. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2002 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2002 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2002' for 2002. Reachability checked on 2026-10-06: HTTP 206, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2001 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2001 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2001' for 2001. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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INMO 2000 - Paper or solutions (the page does not say which)
Opened; part could not be confirmed
Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2000 · checked 6 Oct 2026
Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'INMO 2000' for 2000. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
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Olympiad Books - Olympiads (HBCSE)
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Prescribed / recommended reading (published by the body) · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
Opened https://olympiads.hbcse.tifr.res.in/how-to-prepare/olympiad-books/ on 2026-10-05; it lists the books HBCSE sells or recommends for the Science and Mathematical Olympiads (INPhO, INChO, INBO, INAO problem books, experimental problem books, and the Mathematical Olympiad books). It is a book list, not a syllabus, and no chapter cites it.