major vs study

major and study both are nouns.

Word	Noun	Adjective	Verb	Adverb
major	Yes	Yes	Yes	No
study	Yes	No	Yes	No

As nouns, study is a hypernym of major; that is, study is a word with a broader meaning than major:

Other hypernyms of major include bailiwick, discipline, field, field of study, subject, subject area, subject field.

As verbs, study is a hypernym of major; that is, study is a word with a broader meaning than major:

major: have as one's principal field of study
study: be a student; follow a course of study; be enrolled at an institute of learning

major (noun)	study (noun)
the principal field of study of a student at a university	a detailed critical inspection
a commissioned military officer in the United States Army or Air Force or Marines; below lieutenant colonel and above captain	a room used for reading and writing and studying
a university student who is studying a particular field as the principal subject	preliminary drawing for later elaboration
	attentive consideration and meditation
	a branch of knowledge
	applying the mind to learning and understanding a subject (especially by reading)
	a state of deep mental absorption
	a written document describing the findings of some individual or group
	a composition intended to develop one aspect of the performer's technique
	someone who memorizes quickly and easily (as the lines for a part in a play)

major (adjective)	study (adjective)
greater in number or size or amount
greater in scope or effect
of full legal age
(of a scale or mode) having half steps between the third and fourth degrees and the seventh and eighth degrees
of the field of academic study in which one concentrates or specializes
of greater importance or stature or rank
of greater seriousness or danger
of the elder of two boys with the same family name

major (verb)	study (verb)
have as one's principal field of study	be a student of a certain subject
	learn by reading books
	consider in detail and subject to an analysis in order to discover essential features or meaning
	be a student; follow a course of study; be enrolled at an institute of learning
	think intently and at length, as for spiritual purposes
	give careful consideration to