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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,
Question

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

A.

3

B.

4

C.

5

D.

6

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

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