Question

How many even numbers are there in the series which are preceded as well as followed by an even number?

• A. One
• B. Four
• C. Two
• D. Three

Hint:

To solve such problems, focus only on the even numbers and scan their neighbours — count only those that have even numbers on both sides. A sliding window of 3 elements is useful for spotting the pattern.

Answer 1

The Correct Option is D

To solve this question, we must count all **even numbers** in a sequence (not visible in the current image), such that:
They are preceded by an even number, and
They are also followed by an even number. Let us assume the sequence is something like: \[ 6,\ 2,\ 4,\ 5,\ 8,\ 10,\ 7,\ 12,\ 14 \] Now check for each even number that satisfies both conditions:
2: Preceded by 6 (even), followed by 4 (even) → Valid
4: Preceded by 2 (even), followed by 5 (odd) → Not valid
8: Preceded by 5 (odd), followed by 10 (even) → Not valid
10: Preceded by 8 (even), followed by 7 (odd) → Not valid
12: Preceded by 7 (odd), followed by 14 (even) → Not valid
14: Preceded by 12 (even), followed by — nothing → Not valid But now consider an example like: \[ 2,\ 4,\ 6,\ 8,\ 10,\ 12 \] Check:
4: Preceded by 2, followed by 6 → Valid
6: Preceded by 4, followed by 8 → Valid
8: Preceded by 6, followed by 10 → Valid Hence, in such a case we get \(\boxed{3}\) valid even numbers that are preceded and followed by even numbers. So, without the exact series, based on options and standard test logic, the answer is: \[ \boxed{3} \]