Step 1: Understand the question:
We must decide which of the four listed types belong to Gardner's theory of multiple intelligences. Then we match that set to the options.
Step 2: Recall Gardner's list:
Gardner proposed several independent intelligences. These include linguistic, logical-mathematical, spatial, musical, bodily-kinesthetic, interpersonal, intrapersonal and naturalistic intelligence.
Step 3: Check statement A (Musical):
Musical intelligence is on Gardner's list. It is the ability to produce and appreciate rhythm and tone. So A is TRUE.
Step 4: Check statement B (Spatial):
Spatial intelligence is also on the list. It is the ability to form and use mental images of space. So B is TRUE.
Step 5: Check statement C (Componential):
Componential intelligence is a part of Sternberg's triarchic theory, along with experiential and contextual intelligence. It is not part of Gardner's list. So C is FALSE.
Step 6: Check statement D (Logical-Mathematical):
Logical-mathematical intelligence is on Gardner's list. It means skill in reasoning and number work. So D is TRUE.
Step 7: Match with the options:
The true statements are A, B and D. Option 1 says A, B and D only, so it is correct. Option 2 wrongly adds C. Option 3 drops B and adds C. Option 4 drops D and adds C. So options 2, 3 and 4 are wrong.
Final Answer:
The correct set is A, B and D only, which is option 1.
\[ \boxed{\text{Option 1: A, B and D only}} \]