How many digits are there which are immediately followed by a digit divisible by 5 and immediately preceded by a digit divisible by 3?2 3 7 5 6 5 6 5 4 6 8 3 2 5 4 6 3 8 0 Ops: A. 0 B. 3 C. 1 D. 2
Question
How many digits are there which are immediately followed by a digit divisible by 5 and immediately preceded by a digit divisible by 3?2 3 7 5 6 5 6 5 4 6 8 3 2 5 4 6 3 8 0 Ops: A. 0 B. 3 C. 1 D. 2
Solution
To answer this question, we need to look for a pattern where a digit is immediately followed by a digit divisible by 5 and immediately preceded by a digit divisible by 3.
Let's go through the sequence:
2 3 7 5 6 5 6 5 4 6 8 3 2 5 4 6 3 8 0
- The first pattern we see is 3 7 5. Here, 7 is immediately followed by 5 (which is divisible by 5) and immediately preceded by 3 (which is divisible by 3). So, this is one instance.
- The next pattern is 6 5 6. Here, 5 is immediately followed by 6 (which is not divisible by 5) and immediately preceded by 6 (which is divisible by 3). So, this is not an instance.
- The next pattern is 5 6 5. Here, 6 is immediately followed by 5 (which is divisible by 5) and immediately preceded by 5 (which is not divisible by 3). So, this is not an instance.
- The next pattern is 6 5 4. Here, 5 is immediately followed by 4 (which is not divisible by 5) and immediately preceded by 6 (which is divisible by 3). So, this is not an instance.
- The next pattern is 3 2 5. Here, 2 is immediately followed by 5 (which is divisible by 5) and immediately preceded by 3 (which is divisible by 3). So, this is another instance.
- The last pattern is 6 3 8. Here, 3 is immediately followed by 8 (which is not divisible by 5) and immediately preceded by 6 (which is divisible by 3). So, this is not an instance.
So, we have found 2 instances where a digit is immediately followed by a digit divisible by 5 and immediately preceded by a digit divisible by 3.
Therefore, the answer is D. 2.
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