How many types of intelligence did gardner describe?

The correct answer is:  " 8 (eight) " .

Note:  Howard Gardener orginally described "7 (seven)" types of intelligence:

1)  Bodily-Kinesthetic ; 

2) Mathematical-Logical ;

3) Visual-Spatial ; 

4) Intrapersonal ; 

5) Interpersonal ;

6) Musical-Rhythmic;; 

7) Verbal-Linguistic ; 

and he had most recently (though some time ago) added an "8th" (eight) intelligence):

8) Naturalistic .