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Independent mathematics study guides

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InshiHub builds source-linked worked solutions for advanced entrance examinations in India. Every public sample exposes the strategy, derivation, check, and likely mistake—not merely an answer key.

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Featured guide

ISI M.Math 2026 Sample Solutions

Preview
01Plan the proof before calculating
02Show each decisive step
03Check by a second route
04Name the common trap

Completed full edition

82-page PDF

39 worked items, 49 answer units, official source mapping, and versioned correction updates.

Official source mapped

Every solution carries an exact paper locator.

Reasoning made visible

Strategy, derivation, and final result are separated.

Corrections stay traceable

Material changes receive a dated version note.

Public catalogue

Choose an advanced mathematics worked-solution guide

Every listed page and sample is public for evaluation. Any paid access appears only on the relevant edition after its own mathematical and operational gates are satisfied.

2026 edition

ISI

M.Math PMA & PMB Samples

39 completed problem entries
49 answer units in the full manuscript
Page publishedRelease-gated offer

ISI M.Math 2026 PMA and PMB Sample Questions — Independent Detailed Solutions

An 82-page, independently authored and range-reviewed guide to all 31 PMA objective sample questions and all 8 PMB written sample questions, covering 49 addressable prompts with complete derivations, option analysis, proofs, verification routes, source locators, and explicit treatment of three source-wording or convention edges.

  • 6-page visual preview
  • 5 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2026 guideOfficial paper repository

2026 edition

TIFR

Mathematics Stage I

40 completed problem entries
40 answer units in the full manuscript
Page publishedRelease-gated offer

TIFR GS 2026 Mathematics Stage I — Independent Detailed Solutions

An 81-page, independently authored and cross-reviewed guide to all 40 TIFR GS 2026 Mathematics Stage I items, with complete proofs, counterexamples, source locators, option-level conclusions, verification routes, and problem-specific error notes.

  • 6-page visual preview
  • 5 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2026 guideOfficial paper repository

2026 edition

NBHM

Combined

40 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Combined 2026 Worked Solutions

A source-linked, independently written solution guide for the 2026 NBHM Combined entrance examination, with explicit reasoning, verification, and common-error notes.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2026 guideOfficial paper repository

2025 edition

NBHM

Combined

40 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Combined 2025 Worked Solutions

An independently derived, source-mapped guide to all 40 numbered questions and 50 answer units in the 2025 NBHM Combined examination, with complete reasoning, verification, and error checks.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2025 guideOfficial paper repository

2024 edition

NBHM

Combined

40 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Combined 2024 Worked Solutions

An independently derived, source-mapped guide to all 40 numbered questions and 50 answer units in the 2024 NBHM Combined examination, with complete reasoning, verification, and problem-specific error checks.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2024 guideOfficial paper repository

2023 edition

NBHM

Combined

40 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Combined 2023 Worked Solutions

An independently derived, source-mapped guide to all 40 numbered questions and 50 answer units in the 2023 NBHM Combined examination, with complete reasoning, verification, and problem-specific error checks.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2023 guideOfficial paper repository

2022 edition

NBHM

Doctoral

34 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2022 Worked Solutions

An independently derived, source-mapped guide to all 34 numbered questions and 50 graded answer units in the NBHM Doctoral Scholarship Scheme 2022 written test, with complete reasoning, verification, and explicit treatment of the Question 22 source defect.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2022 guideOfficial paper repository

2021 edition

NBHM

Doctoral

39 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2021 Worked Solutions

An independently derived, source-mapped guide to all 39 numbered questions and 50 graded answer units in the NBHM Doctoral Scholarship Scheme 2021 written test, with complete reasoning, verification, and explicit treatment of the Question 13 bounded-trajectory ambiguity.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2021 guideOfficial paper repository

2020 edition

NBHM

Doctoral

36 completed problem entries
93 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2020 Worked Solutions

An independently derived, source-mapped guide to all 36 numbered questions and 93 addressable answer units in the NBHM Doctoral Scholarship Scheme 2020 written test, with complete reasoning, verification, section-aware scoring notes, and an explicit interpretation note for Question 36(b).

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2020 guideOfficial paper repository

2019 edition

NBHM

Doctoral

50 completed problem entries
51 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2019 Worked Solutions

An independently derived, source-mapped guide to all 50 numbered questions and 51 addressable solution prompts in the 2019 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, verification, and best-four-of-five scoring context.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2019 guideOfficial paper repository

2018 edition

NBHM

Doctoral

50 completed problem entries
51 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2018 Worked Solutions

An independently derived, source-mapped guide to all 50 numbered questions and 51 addressable solution prompts in the 2018 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and three documented literal-hypothesis comparisons with the official key.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2018 guideOfficial paper repository

2017 edition

NBHM

Doctoral

50 completed problem entries
51 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2017 Worked Solutions

An independently derived, source-mapped guide to all 50 numbered questions and 51 addressable solution prompts in the 2017 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and explicit convention and quantifier analysis.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2017 guideOfficial paper repository

2016 edition

NBHM

Doctoral

50 completed problem entries
53 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2016 Worked Solutions

An independently derived, source-mapped guide to all 50 numbered questions and 53 addressable solution prompts in the 2016 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and transparent treatment of one archived-key conflict and four material interpretation boundaries.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2016 guideOfficial paper repository

2015 edition

NBHM

Doctoral

50 completed problem entries
54 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2015 Worked Solutions

An independently derived, source-mapped guide to all 50 numbered questions and 54 addressable solution prompts in the 2015 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and transparent treatment of one archived-key coverage omission and two material interpretation boundaries.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2015 guideOfficial paper repository

2014 edition

NBHM

Doctoral

50 completed problem entries
53 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2014 Worked Solutions

An independently derived, source-mapped guide to all 50 numbered questions and 53 addressable solution prompts in the January 2014 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and transparent treatment of every documented notation, domain, regularity, extremum, and admissibility boundary.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2014 guideOfficial paper repository

2013 edition

NBHM

Doctoral

50 completed problem entries
50 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2013 Worked Solutions

An independently derived, source-mapped guide to all 50 questions in the January 2013 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and transparent treatment of every documented dimension, branch, compactness, spectral, extremum, transform-domain, endpoint, and formula boundary.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2013 guideOfficial paper repository

2012 edition

NBHM

Doctoral

50 completed problem entries
54 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2012 Worked Solutions

An independently derived, source-mapped guide to all 50 questions and 54 addressable prompts in the January 2012 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and transparent treatment of every logical, convergence, regularity, iteration, and archived-key boundary.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2012 guideOfficial paper repository

2011 edition

NBHM

Doctoral

50 completed problem entries
52 answer units in the full manuscript
Page publishedRelease-gated offer

NBHM Doctoral 2011 Worked Solutions

An independently derived, source-mapped guide to all 50 questions and 52 addressable prompts in the January 2011 NBHM Research Scholarships Screening Test, classified in the official archive as the Doctoral paper, with complete reasoning, cross-review, and transparent treatment of every dimensional, logical, compactness, quadrature, optimisation, and countability boundary.

  • 6-page visual preview
  • 3 crawlable sample solutions
  • Direct official-source links
  • Edition-specific release status
Open the 2011 guideOfficial paper repository