Two types of intelligences are linguistic intelligence (ability with language) and logical-mathematical intelligence (ability with numbers and reasoning).
The question is about Howard Gardner's theory of Multiple Intelligences. While the source passages do not explicitly list all nine types, the examiner expects you to recall any two from general CBSE course knowledge: e.g., linguistic, logical-mathematical, spatial, musical, bodily-kinaesthetic, interpersonal, intrapersonal, naturalistic, existential. Any two correct names earn the mark.