In the following numbers series, how many even numbers are immediately...
Understanding the Series
In the given number series, we need to identify how many even numbers are immediately preceded by 6 and immediately followed by 3. The series provided is:
6, 6, 5, 6, 8, 3, 9, 4, 3, 6, 7, 3, 6, 4, 3, 2, 8, 6, 4, 6, 8, 2, 6, 6, 3
Identifying Even Numbers
Even numbers in this series are:
- 6
- 6
- 6
- 8
- 4
- 6
- 2
- 8
- 6
- 4
- 6
- 2
- 6
- 6
Finding Candidates
Now, we need to find even numbers that fit the criteria of being preceded by 6 and followed by 3.
Evaluating Each Even Number
1. First 6: Preceded by nothing, followed by 6 (not valid).
2. Second 6: Preceded by 6, followed by 5 (not valid).
3. Third 6: Preceded by 6, followed by 8 (not valid).
4. 8: Preceded by 6, followed by 3 (valid).
5. 4: Preceded by 9, followed by 3 (not valid).
6. 6: Preceded by 4, followed by 7 (not valid).
7. 4: Preceded by 6, followed by 3 (valid).
8. 2: Preceded by 6, followed by 8 (not valid).
9. 8: Preceded by 6, followed by 4 (not valid).
10. 4: Preceded by 6, followed by 6 (not valid).
11. 6: Preceded by 2, followed by 3 (valid).
Counting Valid Instances
From the evaluations, we find the valid even numbers that are preceded by 6 and followed by 3:
- 8 (6, 8, 3)
- 4 (6, 4, 3)
- 6 (6, 6, 3)
Conclusion
Thus, there are 3 even numbers that fit the criteria of being immediately preceded by 6 and followed by 3. The correct answer is option C) 3.