Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. Q _ P _ M _ A _ T _ Q A _ T M
A T Q P M P
This question asks us to find the correct combination of letters that will complete the given series. Letter series questions are common in logical reasoning and aptitude tests. The key is to identify a repeating pattern or a logical sequence in the arrangement of letters.
The given series is:
Q _ P _ M _ A _ T _ Q A _ T M
There are 6 blanks in the series, and we need to fill them using the letters provided in the options. Let's examine the structure and length of the series. There are 9 known letters and 6 blanks, making the total length of the completed series 15 characters.
We can try filling the blanks with the letters from each option and see if a discernible pattern emerges. Let's take the letters from one of the options and insert them into the blanks:
Let's try filling the blanks with the letters from Option 3: A T Q P M P. The blanks are at the 2nd, 4th, 6th, 8th, 10th, and 13th positions in the series.
Substituting these letters into the series, we get:
Q A P T M Q A P T M Q A P T M
Now, let's look at the complete series:
Q A P T M Q A P T M Q A P T M
Observing this completed series, we can see a clear repeating pattern of 5 letters: Q A P T M.
This 5-letter pattern Q A P T M repeats exactly 3 times to form the 15-character series:
Let's verify if the original letters in the series match this pattern:
| Position | Original Series Character | Pattern (QAPTM) Character | Match? |
|---|---|---|---|
| 1 | Q | Q | Yes |
| 2 | _ | A | Filled Blank |
| 3 | P | P | Yes |
| 4 | _ | T | Filled Blank |
| 5 | M | M | Yes |
| 6 | _ | Q | Filled Blank |
| 7 | A | A | Yes |
| 8 | _ | P | Filled Blank |
| 9 | T | T | Yes |
| 10 | _ | M | Filled Blank |
| 11 | Q | Q | Yes |
| 12 | A | A | Yes |
| 13 | _ | P | Filled Blank |
| 14 | T | T | Yes |
| 15 | M | M | Yes |
As shown in the table, filling the blanks with A T Q P M P results in a series where the pattern Q A P T M repeats consistently. The letters placed in the blanks correspond exactly to the letters in the repeating pattern at those positions.
Thus, the sequence of letters required to complete the series is A T Q P M P.
| Concept | Explanation | Application in this Question |
|---|---|---|
| Repeating Pattern | A sequence of letters or numbers that repeats multiple times in the series. | The pattern 'QAPTM' repeats throughout the series. |
| Series Length | Total number of characters (including blanks) in the series. | The series has 9 given letters and 6 blanks, totaling 15 characters. |
| Identifying Pattern Length | Look for segments that appear to repeat. The length of the repeating segment is the pattern length. | Observing the completed series 'QAPTMQAPTMQAPTM' helps identify the 5-letter pattern 'QAPTM'. |
| Testing Options | Substitute the letters from each option into the blanks and check if a logical pattern emerges. | Substituting 'ATQPMP' revealed the repeating 'QAPTM' pattern. |
Letter series problems are a fundamental part of logical reasoning tests. They assess your ability to identify rules and patterns in sequences. Besides repeating patterns, other common types of letter series include:
To excel at letter series problems, practice is essential. Try to break down the series into smaller parts, look for differences between consecutive letters, or assume a repeating block size based on the options or the total length of the series.
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