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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

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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.

This problem has been solved

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