Plants that need clayey soil to grow well are rice and jute. Clayey soil is characterized by its fine texture and high water retention capacity. It consists of small particles that pack closely together, creating a heavy and sticky soil texture. This type of soil holds moisture well and is rich in nutrients, making it ideal for certain plants that thrive in these conditions.

Rice:
Rice is a staple crop that requires a significant amount of water to grow. It is typically cultivated in paddy fields, which are flooded with water during the growing season. Clayey soil is well-suited for rice cultivation because it retains water for an extended period. The fine texture of clayey soil also helps in preventing excessive water drainage, ensuring that the rice plants have a constant supply of water.

Jute:
Jute is a fiber crop that is primarily grown for its strong and versatile fibers, which are used to make various products such as sacks, ropes, and textiles. Jute plants prefer soil with good moisture retention, and clayey soil meets this requirement. The dense nature of clayey soil helps in retaining moisture, which is crucial for jute plant growth. Additionally, clayey soil provides the necessary nutrients for healthy jute plant development.

Other options:
a) Tea and coffee: Tea and coffee plants prefer well-drained soil rather than clayey soil. They thrive in loamy soil that is rich in organic matter.

b) Jowar and bajra: Jowar and bajra are cereal crops that can tolerate a range of soil types, including sandy and loamy soils. While they may grow in clayey soil, they do not necessarily require it for optimal growth.

c) Wheat and gram: Wheat and gram crops prefer loamy soil, which has a balanced texture and good drainage. These crops can tolerate clayey soil but do not necessarily thrive in it.

In conclusion, rice and jute are the plants that require clayey soil to grow well. The heavy texture and high water retention capacity of clayey soil provide the ideal conditions for these crops to flourish.