Gorging oneself after a period of starvation and then purging the body through induced vomiting and further fasting is a major sign of:

The correct answer is bulimia.
Bulimia is an eating disorder where a person eats as much food as they can, only to throw up everything they have eaten - they induce themselves to vomit to get rid of all the food they took. 
Anorexia doesn't necessarily involve vomiting. Hypertension is high blood pressure. Obesity refers to extremely overweight people.