There is no specific scenario in which there is no need to value the goodwill. Goodwill is an intangible asset that represents the reputation, brand value, customer loyalty, and other non-physical assets of a business. It is an important component of a company's overall value and is usually considered in various situations, including admission or retirement of partners, or death of a partner.

However, in the given options, it is mentioned that there is no need to value the goodwill in any of those situations. Let's analyze each option individually to understand why this is the case:

a) Admission of partner:
- When a new partner is admitted to a partnership, there could be a change in the profit-sharing ratio, and the existing partners may want to compensate the new partner for the goodwill they bring to the business.
- In this situation, the value of goodwill needs to be determined and adjusted in the books of accounts to calculate the new profit-sharing ratio and ensure the new partner's investment is fair.

b) Retirement of partner:
- When a partner retires from a partnership, the value of their share in the business needs to be determined.
- The value of goodwill is often considered in this calculation to compensate the retiring partner for their share of the intangible assets.
- The retiring partner may have contributed to the development of the business reputation and customer relationships, and therefore, the value of goodwill becomes relevant.

c) Death of partner:
- In the event of a partner's death, the value of their share needs to be determined for the purpose of settling their estate.
- Goodwill is often included in this calculation to ensure a fair distribution of assets to the deceased partner's beneficiaries.

d) None of the above:
- This option suggests that there is no need to value the goodwill in any situation, which is not accurate.
- Goodwill is generally considered in various scenarios involving changes in partnership or ownership, as explained above.

In conclusion, the correct answer is not option 'D' because there is always a need to value the goodwill in situations such as admission or retirement of partners, or death of a partner. Goodwill is an important asset that contributes to the overall value of a business, and its valuation is necessary to ensure fair treatment of partners and proper accounting of the company's assets.