The state that faced a near famine situation during 1965-67 was Bihar.

Explanation:
1. Introduction:
During the period of 1965-67, India experienced a severe food crisis due to a combination of factors such as drought, inadequate agricultural practices, and inefficient distribution systems. This crisis led to near famine situations in several states, including Bihar.

2. Drought and Agricultural Practices:
- Bihar, located in the eastern part of India, heavily relies on agriculture for its economy. However, during this period, the state experienced a prolonged drought, which severely affected crop production.
- The inadequate monsoon rains resulted in a significant decline in agricultural output, leading to a scarcity of food grains.
- The traditional agricultural practices, including low irrigation facilities and dependence on monsoon rains, made Bihar vulnerable to such crises.

3. Inefficient Distribution System:
- Even though food grains were available in other states, their distribution and transportation to Bihar were inefficient and inadequate.
- The lack of proper storage facilities, transportation infrastructure, and coordination between the central and state governments contributed to the scarcity of food in Bihar.

4. Government Response:
- The Bihar state government, under Chief Minister Mahamaya Prasad Sinha, declared a state of emergency and sought assistance from the central government.
- The central government implemented various relief measures, such as providing financial aid, food supplies, and establishing relief camps to address the famine-like situation in Bihar.

5. Impact on the Population:
- The near famine situation in Bihar resulted in widespread hunger, malnutrition, and increased mortality rates.
- The most vulnerable sections of society, including the poor and marginalized communities, suffered the most during this crisis.
- The lack of adequate food and nutrition also had long-term consequences on the health and well-being of the affected population.

In conclusion, Bihar faced a near famine situation during 1965-67 due to a combination of factors, including drought, inefficient agricultural practices, and inadequate distribution systems. The crisis led to a scarcity of food grains, widespread hunger, and adverse impacts on the population, particularly the marginalized sections.