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Indian National Mathematical Olympiad (INMO 2026)

Paper Solutions

ABOUT INMO

OVERVIEW: INMO 2026 is the third stage of India’s Mathematical Olympiad Programme, conducted after IOQM 2025 and RMO 2025, for selection to IMOTC 2026, leading to the International Mathematical Olympiad (IMO 2026) and European Girls' Mathematical Olympiad (EGMO 2027).

ORGANIZER: It is organised by the Homi Bhabha Centre for Science Education (HBCSE), TIFR on behalf of NBHM to identify and nurture mathematically talented students from classes 8 to 12.

FORMAT: The INMO is a 4.5-hour descriptive exam consisting of six proof-based questions, with a total of 102 marks.

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Objectives ofINMO

Key goals of the examination

Identify and Encourage: To identify and encourage students with exceptional problem-solving skills in advanced school-level mathematics.

National Selection Stage: To serve as the national selection stage for the International Mathematical Olympiad Training Camp (IMOTC) and, from there, for India's IMO and EGMO teams.

Promote Rigorous Thinking: To promote rigorous mathematical thinking in schools through Olympiad-style problems and solutions.

Benefits ofINMO

Why participate in INMO?

IMOTC Invitation: Students shortlisted from INMO 2026 will be invited to IMOTC 2026, where they will undergo intensive training and receive certificates and book prizes as INMO awardees.

IMO and EGMO Selection: Performance in INMO and IMOTC will form the basis for selection to represent India at IMO 2026 and, for eligible girls, for EGMO 2027 through a separate training camp.

INMO 2027 Eligibility: INMO 2026 awardees will also gain direct eligibility to write INMO 2027 (provided they satisfy other eligibility conditions).

QualificationCriteria

From INMO 2026 to IMOTC 2026

INMO Awardees: On the basis of INMO 2026, the top 48 students from Classes 8-11 and the top 12 students from Class 12, in order of merit from all over the...

IMOTC Pool: These 60 students, along with up to 5 additional girl awardees from Classes 8-11 under the girls' quota, will form the pool for IMOTC 2026,...

APMO Eligibility: All INMO AWARDEES, and all the students designated as senior students of IMOTC 2026, will be eligible to write Asian Pacific Mathematics Oly...

Road to IMO 2026 & EGMO 2027

Your journey through the Mathematical Olympiad stages

IMO Selection

Students selected from INMO 2026 will attend IMOTC 2026, where a series of tests will determine the final six-member Indian team to represent India at the 67th International Mathematical Olympiad (IMO 2026), to be held in Shanghai, China.

EGMO Selection

Eligible girl students from INMO 2026 will also be invited to a dedicated EGMO training camp in December 2026, where selection tests will be used to form the four-member Indian team for EGMO 2027, to be held in Sibenik, Croatia.

IMO 2026

Ultimate Goal

67th International Mathematical Olympiad

1

IOQM 2025

Indian Olympiad Qualifier in Mathematics

7 Sep 2025Sunday
2

RMO 2025

Regional Mathematical Olympiad

16 Nov 2025Sunday
3

INMO 2026

Indian National Mathematical Olympiad

18 Jan 2026Sunday
4

IMOTC 2026

International Mathematical Olympiad Training Camp

Apr-May 2026
5

PDTC 2026

Pre - Departure Training Camp for IMO 2026, HBCSE, Mumbai

Jun-Jul 2026
6

IMO 2026

67th International Mathematical Olympiad, Shanghai, China

10-20 Jul 2026
Stage 1

IOQM 2025

Indian Olympiad Qualifier in Mathematics

Sunday

7 Sep 2025

Stage 2

RMO 2025

Regional Mathematical Olympiad

Sunday

16 Nov 2025

Stage 3

INMO 2026

Indian National Mathematical Olympiad

Sunday

18 Jan 2026

Stage 4

IMOTC 2026

International Mathematical Olympiad Training Camp

Apr-May 2026

PDTC

PDTC 2026

Pre - Departure Training Camp for IMO 2026, HBCSE, Mumbai

Jun-Jul 2026

Stage 5

IMO 2026

67th International Mathematical Olympiad, Shanghai, China

10-20 Jul 2026

1

IOQM 2025

Indian Olympiad Qualifier in Mathematics

7 Sep 2025Sunday
2

RMO 2025

Regional Mathematical Olympiad

16 Nov 2025Sunday
3

INMO 2026

Indian National Mathematical Olympiad

18 Jan 2026Sunday
4

IMOTC 2026

International Mathematical Olympiad Training Camp

Apr-May 2026

PDTC 2026

Pre - Departure Training Camp for IMO 2026, HBCSE, Mumbai

Jun-Jul 2026
5

IMO 2026

67th International Mathematical Olympiad, Shanghai, China

10-20 Jul 2026

5

Total
Stages

11

Months Journey

International Recognition

Indian National Mathematical Olympiad (INMO 2026)

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Disclaimer: The information provided on INMO is based on official sources and may change as per HBCSE guidelines. The answer key and solutions are prepared with utmost care, but errors or omissions may occur. We do not and never claim 100% accuracy.

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