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6 6 8 5 5 3 7 3 7 2 5 8 8 7 8 1 5 5 3 ...

6 6 8 5 5 3 7 3 7 2 5 8 8 7 8 1 5 5 3
How many 5 are there in the above sequence that are completely divisible by the number on their left but not divisible by the number on their right?

A

2

B

3

C

0

D

1

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify how many times the number 5 appears in the given sequence such that each 5 is divisible by the number on its left and not divisible by the number on its right. Let's break down the steps: ### Step 1: Write down the sequence The sequence given is: 6, 6, 8, 5, 5, 3, 7, 3, 7, 2, 5, 8, 8, 7, 8, 1, 5, 5, 3 ### Step 2: Identify the positions of 5 We will locate all the occurrences of the number 5 in the sequence: - The first 5 is at position 4 - The second 5 is at position 5 - The third 5 is at position 10 - The fourth 5 is at position 16 - The fifth 5 is at position 17 ### Step 3: Check divisibility conditions Now, we need to check each 5 to see if it meets the conditions: 1. **Divisible by the number on the left** 2. **Not divisible by the number on the right** #### Checking each 5: - **First 5 (position 4)**: - Left: 8 (not divisible) - Right: 5 (divisible) - **Second 5 (position 5)**: - Left: 5 (divisible) - Right: 3 (not divisible) - **Condition met**: Yes - **Third 5 (position 10)**: - Left: 7 (not divisible) - Right: 8 (not divisible) - **Fourth 5 (position 16)**: - Left: 8 (not divisible) - Right: 1 (not divisible) - **Fifth 5 (position 17)**: - Left: 1 (not divisible) - Right: 3 (not divisible) ### Step 4: Count the valid occurrences From our checks: - The second 5 (position 5) is valid. - The fourth 5 (position 16) is also valid. Thus, there are **2 occurrences of 5** that meet the conditions. ### Final Answer The total number of 5s that are divisible by the number on their left but not divisible by the number on their right is **2**. ---
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