Select the option that will correctly replace the question mark (?) and complete the following series. XVS, VTQ, TRO, RPM,?
PNK
Understanding Letter Series Patterns
This question asks us to find the next term in a letter series: XVS, VTQ, TRO, RPM, ?. To solve this, we need to identify the pattern governing the letters in each position across the terms.
Let's look at the terms provided and analyze each letter's progression separately.
- Term 1: XVS
- Term 2: VTQ
- Term 3: TRO
- Term 4: RPM
- Term 5: ?
Analyzing the First Letter of Each Term
The first letters in the series are X, V, T, R. Let's find their positions in the English alphabet (A=1, B=2, ... Z=26).
- X is the 24th letter.
- V is the 22nd letter.
- T is the 20th letter.
- R is the 18th letter.
We can observe a clear pattern in the numerical positions:
\(24 \xrightarrow{-2} 22 \xrightarrow{-2} 20 \xrightarrow{-2} 18\)
The pattern is a decrease of 2 in the alphabetical position for the first letter of each term. Following this pattern, the first letter of the next term should be the letter at position \(18 - 2 = 16\). The 16th letter is P.
Analyzing the Second Letter of Each Term
The second letters in the series are V, T, R, P. Let's find their alphabetical positions:
- V is the 22nd letter.
- T is the 20th letter.
- R is the 18th letter.
- P is the 16th letter.
Again, we see a pattern in the numerical positions:
\(22 \xrightarrow{-2} 20 \xrightarrow{-2} 18 \xrightarrow{-2} 16\)
The pattern here is also a decrease of 2 in the alphabetical position. For the next term, the second letter should be at position \(16 - 2 = 14\). The 14th letter is N.
Analyzing the Third Letter of Each Term
The third letters in the series are S, Q, O, M. Let's find their alphabetical positions:
- S is the 19th letter.
- Q is the 17th letter.
- O is the 15th letter.
- M is the 13th letter.
The pattern in the numerical positions is:
\(19 \xrightarrow{-2} 17 \xrightarrow{-2} 15 \xrightarrow{-2} 13\)
This pattern also shows a decrease of 2 in the alphabetical position. For the next term, the third letter should be at position \(13 - 2 = 11\). The 11th letter is K.
Combining the Patterns to Find the Next Term
Based on our analysis of each letter position, the next term in the series will have:
- First letter: P (16th letter)
- Second letter: N (14th letter)
- Third letter: K (11th letter)
Combining these letters gives us the next term: PNK.
Summary of the Pattern
Each letter in the terms follows its own independent pattern, decreasing by 2 positions in the alphabet compared to the corresponding letter in the previous term.
| Term | First Letter | Second Letter | Third Letter |
|---|---|---|---|
| XVS | X (24) | V (22) | S (19) |
| VTQ | V (22) - \(-2\) | T (20) - \(-2\) | Q (17) - \(-2\) |
| TRO | T (20) - \(-2\) | R (18) - \(-2\) | O (15) - \(-2\) |
| RPM | R (18) - \(-2\) | P (16) - \(-2\) | M (13) - \(-2\) |
| ? | P (16) - \(-2\) → P (16) | N (14) - \(-2\) → N (14) | K (11) - \(-2\) → K (11) |
Comparing with Options
The next term derived from the pattern is PNK. Let's check the given options:
- Option 1: KMP
- Option 2: PNK
- Option 3: KNP
- Option 4: PKN
The derived term PNK matches Option 2.
Letter Series Completion - Revision Table
| Concept | Description | Example |
|---|---|---|
| Letter Series | A sequence of letters that follow a specific pattern. | A, C, E, G, ? |
| Alphabetical Position | The numerical order of a letter in the alphabet (A=1, B=2, etc.). | Position of 'M' is 13. |
| Pattern Analysis | Identifying the rule or sequence of changes between consecutive terms. Can involve addition, subtraction, skipping letters, etc. | In A, C, E, G, ?, the pattern is skipping one letter (+2 in position). Next term is I. |
| Solving Strategy | Analyze each letter position independently or look for overall patterns like reversal, combination, etc. | Assign numerical values or count steps between letters. |
Additional Information on Logical Reasoning and Series Completion
Letter series questions are a common type of question in logical reasoning sections of competitive exams. They test your ability to identify patterns and apply rules. Other types of series questions include number series, mixed series (letters and numbers), and symbol series.
When solving letter series problems, it's helpful to:
- Know the alphabetical positions of letters instantly.
- Look for common patterns like adding/subtracting a constant number of positions, increasing/decreasing differences, alternating patterns, or patterns based on vowels/consonants.
- Break down complex terms (like those with multiple letters) into simpler, independent sequences for each position.
- Practice with various types of letter series to become familiar with different patterns.
Understanding these fundamental approaches can help you solve a wide range of logical reasoning questions involving series completion.
Important Questions from Alphabet Series
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
KMTC, EVOM, OQXG, IZSQ, ?
Select the set of letters that when sequentially placed in the blanks of the given letter series will complete the series.
k_lmml_mk_mmk_lkkl_mSelect the letter will replace the question mark (?) in the following series.
C, B, B, C, Z, E, W, H, S, ?, NWhich letter will replace the question mark (?) in the following letter series?
E, J, N, Q, S, ?
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
C _ B N _ _ V_ _ H C _ B _ H
