Select the option that represents the letters that, when placed from left to right in the blanks below will complete the letter series. WA _ D _ B C _ W _ C D W D C _
The question asks us to identify the letters that will complete the given series: WA _ D _ B C _ W _ C D W D C _. To solve this type of problem, we need to look for a repeating pattern or sequence within the letters when the blanks are filled.
The series has 15 letters and 5 blanks, for a total of 20 positions. We are given four options, each containing 5 letters to fill these blanks. Let's examine the series with the first option, CWDCD, filling the blanks from left to right:
Original series with blanks:
WA _ D _ B C _ W _ C D W D C _
Filling the blanks with CWDCD:
WA C D W B C D W C C D W D C D
The completed series becomes: WACDWBCDWCCDW DCD
Let's look at the completed series WACDWBCDWCCDWDCD and try to find a repeating pattern. We can try grouping the letters. Let's try grouping into sets of 4 letters:
WACD | WBCD | WCCD | WDCD
Looking at these four groups, we can observe a clear pattern:
So, the pattern is a sequence of four blocks: WACD, followed by WBCD, followed by WCCD, followed by WDCD.
Now let's compare this identified pattern (WACD WBCD WCCD WDCD) to the original series with blanks (WA _ D _ B C _ W _ C D W D C _) to see if the letters we used from option 1 correctly fill the blanks according to this pattern.
Let's write the original series positions and the pattern positions:
| Position in 20-letter series | Original Series Letter | Filled Series Letter (using CWDCD) | Pattern Group |
|---|---|---|---|
| 1 | W | W | WACD |
| 2 | A | A | |
| 3 | _ (Blank 1) | C | |
| 4 | D | D | |
| 5 | _ (Blank 2) | W | WBCD |
| 6 | B | B | |
| 7 | C | C | |
| 8 | _ (Blank 3) | D | |
| 9 | W | W | WCCD |
| 10 | _ (Blank 4) | C | |
| 11 | C | C | |
| 12 | D | D | |
| 13 | W | W | WDCD |
| 14 | D | D | |
| 15 | _ (Blank 5) | D | |
| 16 | C | C | |
| 17 | D | D |
Note: The original series had 15 fixed letters and 5 blanks, totaling 20 positions when filled.
From the table and the pattern WACD WBCD WCCD WDCD, the letters filling the blank positions are:
The sequence of letters filling the blanks is CWDCD. This exactly matches Option 1.
Therefore, placing the letters CWDCD in the blanks from left to right completes the letter series according to the identified pattern.
| Concept | Description | How it Applied Here |
|---|---|---|
| Letter Series | A sequence of letters following a specific pattern or rule. | We were given a letter series with missing letters. |
| Pattern Recognition | Identifying the underlying rule or sequence that governs the series. | We found the W_CD pattern with the second letter changing alphabetically. |
| Block Pattern | A pattern where the series is made up of repeating blocks of letters, sometimes with variations within blocks. | The series is composed of four blocks (WACD, WBCD, WCCD, WDCD) with a systematic change in one position. |
| Trial and Error | Testing options to see which one fits the series to reveal a pattern. | We tested Option 1 first to see if it formed a recognizable pattern. |
Letter series questions in reasoning tests can follow various patterns. Recognizing these can help solve problems faster. Some common types include:
To excel at letter series problems, practice identifying different types of patterns and systematically test possibilities.
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k_lmml_mk_mmk_lkkl_mSelect the letter will replace the question mark (?) in the following series.
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C _ B N _ _ V_ _ H C _ B _ H