Solution:

The correct answer is option 'D', i.e., Yamuna.

Explanation:

The four rivers mentioned in the options are all major rivers in India and have been harnessed for various multipurpose river projects. Let's look at each option and understand the multipurpose projects associated with them:

Satluj-Beas:
The Satluj-Beas river system is located in the northern region of India. It is one of the main tributaries of the Indus River. This river system has been harnessed for multiple purposes through various projects, including:

1. Bhakra-Nangal Project: This project is a joint venture between Punjab, Haryana, and Rajasthan. It is a multipurpose project that serves the purposes of irrigation, hydroelectric power generation, and flood control.

2. Pong Dam: Also known as the Beas Dam, it is another multipurpose project on the Beas River. It provides irrigation facilities and hydropower generation.

Mahanadi:
The Mahanadi river is located in the eastern part of India and flows through the states of Chhattisgarh and Odisha. It is a major river and has been harnessed for various purposes through the following projects:

1. Hirakud Dam: This is a multipurpose river project on the Mahanadi River in Odisha. It is one of the longest earthen dams in the world and serves the purposes of irrigation, hydroelectric power generation, and flood control.

2. Rengali Dam: Located in Odisha, it is another multipurpose project on the Mahanadi River. It provides irrigation facilities and hydropower generation.

Narmada:
The Narmada river is one of the largest west-flowing rivers in India. It flows through the states of Madhya Pradesh, Maharashtra, and Gujarat. The Narmada river has been harnessed for various purposes through the following projects:

1. Sardar Sarovar Dam: This is a multipurpose project on the Narmada River in Gujarat. It is one of the largest dams in the world and serves the purposes of irrigation, hydroelectric power generation, and drinking water supply.

2. Indira Sagar Dam: Located in Madhya Pradesh, it is another multipurpose project on the Narmada River. It provides irrigation facilities and hydropower generation.

Yamuna:
The Yamuna river is a major tributary of the Ganges river and flows through several states, including Uttarakhand, Uttar Pradesh, Haryana, and Delhi. However, there is no specific multipurpose river project associated with the Yamuna river. The river is mainly utilized for irrigation purposes and as a source of drinking water.

Therefore, out of the given options, the Yamuna river is not associated with any multipurpose river project.

Answer:
The river that does not have any multipurpose river project is the Yamuna.
Explanation:
- Satluj-Beas:
- The Satluj-Beas river has the Bhakra Nangal Project, which is a multipurpose river project.
- It is located in the states of Himachal Pradesh and Punjab.
- The project has provisions for irrigation, hydroelectric power generation, and flood control.
- Mahanadi:
- The Mahanadi river has the Hirakud Dam project, which is a multipurpose river project.
- It is located in the state of Odisha.
- The project has provisions for irrigation, hydroelectric power generation, and flood control.
- Narmada:
- The Narmada river has the Sardar Sarovar Dam project, which is a multipurpose river project.
- It is located in the states of Madhya Pradesh and Gujarat.
- The project has provisions for irrigation, hydroelectric power generation, and drinking water supply.
- Yamuna:
- The Yamuna river does not have any multipurpose river project.
- It flows through the states of Uttarakhand, Himachal Pradesh, Haryana, Delhi, and Uttar Pradesh.
- However, there are other projects on the Yamuna, such as the Tajewala Barrage in Haryana for irrigation and the Okhla Barrage in Delhi for drinking water supply.
Therefore, the correct answer is D: Yamuna.