nonsensical vs idiotic

nonsensical and idiotic both are adjectives.

Word	Noun	Adjective	Verb	Adverb
nonsensical	No	Yes	No	No
idiotic	No	Yes	No	No

As adjectives, nonsensical and idiotic are synonyms defined as:

Other synonyms of nonsensical include absurd, cockeyed, derisory, laughable, ludicrous, preposterous, ridiculous.

nonsensical (adjective)	idiotic (adjective)
so unreasonable as to invite derision	so unreasonable as to invite derision
having no intelligible meaning	insanely irresponsible
	having a mental age of three to seven years