The question asks which of the following rivers does NOT originate in Indian territory. Let`s analyze each option to determine the correct answer.
Option 1: Godavari - This river does originate in Indian territory, so it is not the correct answer.
Option 2: Jhelum - This river originates in Indian territory, so it is not the correct answer.
Option 3: Ravi - This river originates in Indian territory, so it is not the correct answer.
Option 4: Ghaghara - This river does not originate in Indian territory. Therefore, the correct answer is option 4.
In conclusion, the river that does not originate in Indian territory is the Ghaghara.