Solving Letter Series Completion Problems

This question asks us to find the sequence of letters that completes the given letter series. We need to look for a repeating pattern within the series once the blanks are filled.

The original series with blanks is:

H_ D P _ O H K _ _ M O _ K D P M _

There are 18 positions in total, with 6 blanks. The blanks are at positions 2, 5, 9, 10, 13, and 18.

We are given several options to fill the blanks. Let's consider the correct option, which is KMDPHO, and insert its letters into the blanks sequentially:

• The first blank (position 2) gets the 1st letter of KMDPHO, which is K.
• The second blank (position 5) gets the 2nd letter of KMDPHO, which is M.
• The third blank (position 9) gets the 3rd letter of KMDPHO, which is D.
• The fourth blank (position 10) gets the 4th letter of KMDPHO, which is P.
• The fifth blank (position 13) gets the 5th letter of KMDPHO, which is H.
• The sixth blank (position 18) gets the 6th letter of KMDPHO, which is O.

Inserting these letters into the series gives us:

H K D P M O H K D P M O H K D P M O

Identifying the Pattern in the Completed Series

Looking at the completed series, we can observe a clear repeating pattern. Let's divide the series into equal parts to find the repeating block:

• First 6 letters: H K D P M O
• Next 6 letters: H K D P M O
• Last 6 letters: H K D P M O

The series is formed by repeating the block of 6 letters HKDPMO exactly three times.

Step-by-Step Solution to Complete the Series

1. Examine the structure of the given series with blanks. Count the total number of positions and the number of blanks. The total length is 18, with 6 blanks.
2. Consider the letters from the correct option (KMDPHO) and place them into the blanks in the given order.
3. Write out the complete series after filling the blanks: HKDPMOHKDPMOHKDPMO.
4. Analyze the completed series to identify a recurring sequence or pattern. With 18 characters and 6 blanks filled by a 6-letter option, checking for a repeating block of 6 letters is a logical step.
5. By inspection, we see that the sequence HKDPMO repeats three times.
6. Therefore, the combination of letters that completes the series is KMDPHO, creating the repeating pattern HKDPMO.

Visualizing the Repeating Letter Pattern

Here is a table showing how the HKDPMO pattern repeats:

This table clearly illustrates the three repetitions of the HKDPMO sequence.

Revision Table: Key Aspects of Letter Series

Additional Information: Tips for Letter Series Questions

Solving letter series problems involves identifying the underlying logic or pattern. Here are some general tips and common patterns:

• Look for Repetition: Simple repeating blocks are a common pattern. Count the total elements and the options' length to guess the block size.
• Check Alphabetical Progression: See if letters are advancing or regressing in the alphabet (e.g., A, C, E... or Z, X, V...). Note the difference in position between consecutive letters.
• Consider Skips: Patterns might involve skipping a fixed or varying number of letters (e.g., A (skip 1) C (skip 2) F (skip 3) J...).
• Assign Numerical Values: Sometimes, converting letters to their position numbers (A=1, B=2, ..., Z=26) can reveal arithmetic patterns.
• Look for Alternating Patterns: The pattern might involve two different rules applied alternately (e.g., one rule for positions 1, 3, 5... and another for 2, 4, 6...).
• Practice: Familiarity with different types of patterns comes with practice. Try solving various series questions to improve your pattern recognition skills.

In this question, the pattern was a simple and clear repetition of a 6-letter block, which is one of the easiest types of letter series patterns to identify once the blanks are filled correctly.