Which river is known as the "Sorrow of Bihar" due to its frequent floods?

Which river is known as the 'Sorrow of Bihar' ?

Which river is also known as the "Dakshin Ganga" or the "River of South"?

Which river is also known as the "Lifeline of Madhya Pradesh"?

Which river flows through the states of Uttar Pradesh and Bihar and is a tributary of the Ganges?

Which one of the following rivers is also known by the name of "Dihang" in Northeast India?