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Refer to the given series and answer the question that follows (all numbers are single-digit numbers only, and all counting is to be done from left to right).
How many such even digits are there, each of which is immediately preceded by a perfect square and immediately followed by an even digit? (Note: 1 will be considered as a perfect square.)
2
4
3
5
3
Identify all even digits. Check if the digit on the left is 1, 4, or 9 (perfect squares) and if the digit on the right is even. Only count the instances satisfying both conditions.
Identify all even digits. Check if the digit on the left is 1, 4, or 9 (perfect squares) and if the digit on the right is even. Only count the instances satisfying both conditions.
Define Criteria
We need to find an even digit (E) that is: 1) Preceded by a perfect square (S) - Note: 1, 4, 9 are perfect squares. 2) Followed by an even digit (E). Pattern: (S, E, E).
Analyze Sequence
Series: 4, 5, 1, 8, 3, 6, 3, 6, 8, 4, 5, 7, 6, 7, 1, 9, 2, 4, 6, 2, 7, 8, 6, 1, 8, 8, 1, 7, 7, 3. Triplet scanning: (1, 8, 6) тЖТ 1 is sq, 8 even, 6 even (Match 1). (4, 6, 2) тЖТ 4 is sq, 6 even, 2 even (Match 2). (1, 8, 8) тЖТ 1 is sq, 8 even, 8 even (Match 3).
A: The count is not 2. B: The count is not 4. D: The count is not 5.
C is correct because there are exactly three sets (1-8-6, 4-6-2, and 1-8-8) that satisfy the condition of an even digit being preceded by a perfect square and followed by an even digit.
Always verify if the number '1' is included in the definition of a perfect square in the instruction block before starting; here it was explicitly provided.
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