214614637147612414616212
Analyzing Digit Sequence for Specific Number Patterns
The question asks us to find the number of times the digits 4, 1, and 6 appear consecutively in a specific order within the given sequence. The required pattern is that the digit 1 must be in the middle, with 4 and 6 on either side. This means we are looking for the specific combinations 416 or 614.
Identifying the Pattern
The given sequence of digits is:
$214614637147612414616212$
We need to scan this sequence to find occurrences of either "416" or "614". Let's examine the sequence step-by-step:
- $214$ - Not the pattern.
- $146$ - Not the pattern (1 is not in the middle).
- $461$ - Not the pattern (1 is not in the middle).
- $614$ - This matches the pattern (1 in the middle, 6 and 4 on either side). Found one instance.
- $146$ - Not the pattern.
- $463$ - Not the pattern.
- $637$ - Not the pattern.
- $371$ - Not the pattern.
- $714$ - Not the pattern.
- $147$ - Not the pattern.
- $476$ - Not the pattern.
- $761$ - Not the pattern.
- $612$ - Not the pattern.
- $124$ - Not the pattern.
- $241$ - Not the pattern.
- $414$ - Not the pattern.
- $146$ - Not the pattern.
- $461$ - Not the pattern.
- $616$ - Not the pattern.
- $162$ - Not the pattern.
- $621$ - Not the pattern.
- $212$ - Not the pattern.
Counting the Occurrences
By carefully scanning the sequence, we identified only one occurrence of the required pattern (614).
Therefore, the numbers 4, 1, and 6 appeared together with 1 in the middle and 4 and 6 on either side exactly one time.
Similar Questions
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- If 1 is added to each even digit and 2 is subtracted from each odd digit in the number 9283745, what will be the sum of the digits that are second from the left and second from the right?
- If 1 is added to each even digit and 1 is subtracted from each odd digit in the number 937612548, then what will be the sum of all the odd digits in the new number thus formed?
- Each of the digits in the number 5936814 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and fourth from the right in the new number thus formed?
- If the numbers divisible by 3, from 1 to 30, are arranged in descending order, which number will be at the $7^{\text{th}}$ place from the bottom?
- How many times does 4 appear in the following sequences, where it is neither preceded by 6 nor immediately followed by 9?
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Important Questions from Number Arrangement
Six friends A, B, C, D, E and F are sitting in two lines, facing the north. Three persons are sitting in each line. F is sitting in the middle. C is just behind B. D is to the immediate right of E. B is to the immediate left of F. Which three persons are sitting in the same line?
In the series 5442673314884743581, the number of 4s that are completely divisible by the number on their right but not divisible by the number on their left is:
Refer to the following series and answer the question (all numbers are single digit numbers only).
(Left) 1 2 6 5 6 8 1 5 8 6 9 8 3 3 5 8 9 4 7 8 (Right)
How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?
Each of the digits in the number 9362145 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and third from the right in the number thus formed?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 3842675, how many digits will appear more than once in the new number thus formed?
