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CRI Guidelines 2025, Annexure I: Examples 21 to 34 on the mathematical method and business method exclusions, sorted into claims that pass and claims that fail

Of the eight mathematical method examples, four are not excluded because the calculation sits inside a larger technical process that ends in a physical effect (21 to 24), and four...

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Last updated: October 2026Verified against: Government sources

Annexure I of the CRI Guidelines 2025 adds a non-exhaustive, indicative list of examples under the four limbs of section 3(k). Examples 21 to 34 cover two of them: mathematical method (21 to 28) and business method (29 to 34). Each example applies the three-step assessment from paragraphs 4.5.1.1 and 4.5.2.1 to a short invented claim and reaches an outcome.

The Office revises its guidelines, so check the current version on ipindia.gov.in. The steps are explained in the mathematical method article and the business method article. If you are answering a section 3(k) objection, a patent objection reply can pair your claim with the closest example below.

How the Annexure is built

Each example gives a short invented claim and then a stepwise analysis: step 1 identifies the core objective, step 2 decides what the solution essentially is, and step 3 states the conclusion. The claims are the Office's illustrations, not granted patents. This article describes them in TaxClue's words and does not reproduce them.

Mathematical method: Examples 21 to 28

No.FieldOutcome in the AnnexureDeciding reason
21Noise reduction in audio devices using a frequency transform and filterNot excludedThe transform and filter are intermediate steps; the output is a cleaner signal delivered to a speaker
22Autonomous drone navigation using a shortest-path algorithmNot excludedThe path calculation is translated into control signals for the drone's motors to avoid obstacles
23Enhancing magnetic resonance images with wavelet-based denoisingNot excludedThe output is an enhanced image shown on a display for diagnosis, not just a value
24Vehicle stability control using wheel-slip calculationNot excludedThe calculated slip drives braking and throttle control signals to the vehicle's hardware
25Compound interest calculationExcludedThe method automates plugging values into a formula and outputs a number; no technical process beyond the calculation
26Statistical regression to compute correlation coefficientsExcludedThe output is a set of numbers; no larger technical process
27Pseudo-random number generation from a seedExcludedThe output is a number sequence; the Annexure notes it is not embedded in a technical process such as key generation in secure hardware or signal modulation
28Solving a quadratic equationExcludedThe output is the roots; no device control, signal processing or hardware actuation

What separates the two groups. In 21 to 24 the final claim step is something physical or perceptible: sound from a speaker, a drone moving, an image on a display, brakes applied. In 25 to 28 the final step is "output the result". The Annexure's wording is consistent: the output is "not just a number" in the passing examples and "just a number" in the excluded ones.

Business method: Examples 29 to 34

No.FieldOutcome in the AnnexureDeciding reason
29Securing online banking data with quantum-resistant encryption, a secure channel and multi-factor biometric authenticationNot excludedTechnical steps for encryption, transmission and authentication; online banking is only the application domain
30A point-of-sale terminal with adaptive signal processing and an error-correction protocolNot excludedTechnical solutions to environmental noise and data transmission errors; no business rule recited
31Server load balancing for an e-commerce platform using predictive analyticsNot excludedTechnical monitoring, resource allocation and request routing improve infrastructure performance
32A bank's tiered service fee based on balance and transaction volumeExcludedThe core is a scheme for revenue generation and customer management; the computer only applies the business rules more efficiently
33A loyalty rewards programme with points, membership tiers and discountsExcludedA marketing and customer retention strategy; any automation is incidental
34Dynamic surge pricing for ride faresExcludedA commercial strategy for revenue optimisation using rules on demand and supply

What separates the two groups. Examples 29 to 31 all take a setting that sounds commercial (banking, payments, e-commerce) and claim a technical improvement to the system: security, reliability, load. Examples 32 to 34 take the commercial rule itself as the invention. The Annexure notes for the excluded group that the use of a computer is "incidental" and serves only to implement business rules more efficiently.

Lessons for drafting

  1. End the claim on the technical effect. If a calculation drives a signal, a device or an image, say so in the last step.
  2. Do not stop at "output the result". A number alone is the pattern the Annexure excludes.
  3. Claim the machinery, not the rule. For a platform, claim what changes in the servers, network or terminal, not what changes in the price or the programme.
  4. Name the technical problem. In 29 to 31 the Office identifies the engineering problem (security, noise, latency) first.
  5. Keep the description consistent with the claim. The deciding reasons in the Annexure come from what the claim recites, so the claim has to carry the technical feature.

How an objection is usually framed, and how to answer it

ObjectionAnswer using the Annexure
"Claim is a mathematical method"Show a final claim step like those in Examples 21 to 24: a control signal, a displayed image, an output to hardware
"Claim is a business method"Show the improvement to the underlying system, as in Examples 29 to 31, and that business context is only the domain
"The system merely automates a business rule"Identify the technical steps that go beyond standard data processing

The Annexure is a non-exhaustive indicative list. An example is persuasive for similar facts, but each application is judged on its own substance, and the Act and Rules prevail.

A worked example (invented)

Dhara Logistics claims a method of computing an optimal delivery fee from distance, weight and time of day and sending the fee to the customer. The examiner raises the business method exclusion by reference to the pattern of Example 34. Dhara's specification also describes a routing module that compresses route data for in-vehicle devices so that updates arrive within a set time on a weak network. Dhara replaces the claim with one directed to the compression and delivery of route updates to the vehicle unit, citing the contrast between Examples 32 to 34 and Example 31. The fee rule is no longer the claimed invention.

Common lapses

  • Reciting a formula in the claim and ending with "displaying the result".
  • Presenting a platform improvement but claiming only the commercial rule it supports.
  • Relying on a general statement that a computer "implements" the method.
  • Assuming that a banking or payments claim must fail because of its field.

Need help with a section 3(k) objection on a formula or a platform claim?

The quickest route to a good reply is to find the example nearest to your claim and show the feature that makes the difference. Our team can do that comparison and prepare the response. See patent objection reply, and read next about the algorithm examples in the same Annexure.

Key takeaways

  • Examples 21 to 24 pass because the calculation serves a physical or perceptible technical result.
  • Examples 25 to 28 are excluded because the output is only a number.
  • Examples 29 to 31 pass because they solve technical problems in security, signal reliability and server load.
  • Examples 32 to 34 are excluded because the core is a fee, loyalty or pricing scheme.
  • The Annexure is indicative; each application turns on its own substance.

Read next

Disclaimer: Based on the manuals and guidelines published by the Office of the Controller General of Patents, Designs and Trade Marks that are named in the article, as consulted on 4 October 2026. They are guidance and do not have the force of law; the Patents Act, 1970 and the Patents Rules, 2003 as amended (including the 2024 amendment rules) prevail, and the current versions on ipindia.gov.in should be checked. This article is general information, not legal advice; check the official text before acting.

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  • Applies in: All states across India, under the relevant central law.
  • Mode: Mostly online via the official government portal.
  • Typical timeline: Ranges from a few days to a few weeks depending on the case.
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How many examples are on the mathematical method and business method limbs?

Examples 21 to 28 are mathematical method and Examples 29 to 34 are business method, fourteen in all.

Which of these pass?

Examples 21 to 24 and 29 to 31.

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Questions, answered

Short, direct answers to the 6 questions readers ask most on this topic.

Examples 21 to 28 are mathematical method and Examples 29 to 34 are business method, fourteen in all.

Examples 21 to 24 and 29 to 31.

Examples 25 to 28 and 32 to 34.

No. Example 29 is a banking claim that is not excluded, because the invention is a technical security improvement.

Not on Examples 32 to 34. The Annexure treats the computer as incidental to implementing business rules.

No. They are indicative. The Guidelines are guidance and the Act and Rules prevail.