In the following finite sequence of integers, how many 9s are divisible by their immediate next terms?
8,3,4,9,3,5,9,5,9,9,9,4,5,9,5,6,3,3,5,7,2,3,9,9,8,9,3,9,1,9,4

Correct option is D

Given:
We have the following sequence of integers:

8, 3, 4, 9, 3, 5, 9, 5, 9, 9, 9, 4, 5, 9, 5, 6, 3, 3, 5, 7, 2, 3, 9, 9, 8, 9, 3, 9, 1, 9, 4

We need to find how many 9s are divisible by their immediate next terms.

Solution:
We locate all 9s in the sequence and check divisibility by the next number.

9, 3 → 9 ÷ 3 = 3
9, 5 → 9 ÷ 5 = Not divisible
9, 5 → 9 ÷ 5 = Not divisible
9, 9 → 9 ÷ 9 = 1
9, 9 → 9 ÷ 9 = 1
9, 4 → 9 ÷ 4 = Not divisible
9, 5 → 9 ÷ 5 = Not divisible
9, 9 → 9 ÷ 9 = 1
9, 8 → 9 ÷ 8 = Not divisible
9, 3 → 9 ÷ 3 = 3
9, 1 → 9 ÷ 1 = 9
9, 4 → 9 ÷ 4 = Not divisible
Count of valid cases:
Six 9s are divisible by their next term.

Final Answer:
(D) 6