Letter Series Completion Strategy

The task is to find the correct sequence of letters to fill the blanks in the given series: L _ _ K C _ O Q _ C L O _ _ C to make it a complete, logical sequence.

Series Blanks Analysis

The provided series has 15 positions in total. The known letters are L, K, C, O, Q, C, L, O, C. This leaves 6 empty slots (blanks) that need to be filled.

Let's represent the blanks using placeholders (b1 to b6) to clarify their positions:

L b1 b2 K C b3 O Q b4 C L O b5 b6 C

The goal is to determine the sequence of letters that fills these blanks: b1, b2, b3, b4, b5, b6.

Completed Series Pattern Identification

To find the pattern, we first insert the letters from the correct answer option, OQLKQK, into the blanks. This results in the completed series:

L O Q K C K O Q L C L O Q K C

Now, we analyze this 15-letter sequence for any repeating blocks or underlying logic. We can divide the sequence into three equal segments of 5 letters each:

Segment 1: L O Q K C (Covers positions 1-5)

Segment 2: K O Q L C (Covers positions 6-10)

Segment 3: L O Q K C (Covers positions 11-15)

Block Pattern Structure (ABA)

Observing these segments, we identify a distinct pattern. The sequence consists of Block A, followed by Block B, and then Block A again.

• Block A is defined as: L O Q K C
• Block B is defined as: K O Q L C

Thus, the series follows the structure: [Block A] - [Block B] - [Block A].

Blank Filling Process

This ABA block pattern explains precisely how the blanks in the original series are filled:

Original Series Structure: L _ _ K C _ O Q _ C L O _ _ C

• For the first segment (positions 1-5), the pattern requires it to be Block A (L O Q K C). The original series shows L _ _ K C. This means the blanks at positions 2 and 3 must be filled with O and Q respectively to match Block A.
• For the second segment (positions 6-10), the pattern requires it to be Block B (K O Q L C). The original series shows _ O Q _ C for these positions (relative to the full sequence). This means the blank at position 6 must be filled with K, and the blank at position 9 must be filled with L to match Block B.
• For the third segment (positions 11-15), the pattern requires it to be Block A again (L O Q K C). The original series shows L O _ _ C for these positions. This means the blanks at positions 13 and 14 must be filled with Q and K respectively to match Block A.

Collecting the letters needed for the blanks in order (position 2, 3, 6, 9, 13, 14), we get: O, Q, K, L, Q, K. This sequence forms the combination OQLKQK.

Options Analysis

We compare the derived sequence OQLKQK with the provided multiple-choice options:

1. OQLKQK - This matches our derived sequence.
2. QOLKQK
3. OQLOQC
4. OKOQCQ
5. (Option 5 text was not provided)

Final Answer Selection

The step-by-step analysis confirms that the combination OQLKQK is the correct sequence required to complete the series based on the identified ABA block pattern (LOQKC / KOQLC / LOQKC). Therefore, the first option is the correct choice.