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Question

Which letter-cluster will replace the question mark (?) to complete the given series? 

XSMP, WTKR, VUIT, ?, TWEX

This question was previously asked in
SSC Selection Post 2022 Matriculation Level Question Paper (02-Aug-2022) (Shift-4)
The correct answer is
UVGV

Letter Series Puzzle: Decode XSMP, WTKR, VUIT Sequence

Understanding the Series Pattern

This question asks us to find the next logical element in a sequence of letter clusters: XSMP, WTKR, VUIT, ?, TWEX. The task involves identifying a pattern based on the alphabetical positions of the letters.

Analyzing the Series Term by Term

We can break down the problem by looking at the pattern for each position (1st, 2nd, 3rd, 4th) within the letter clusters. We'll use the standard English alphabet positions (A=1, B=2, ..., Z=26).

Term 1st Letter 2nd Letter 3rd Letter 4th Letter
1st (XSMP) X (24) S (19) M (13) P (16)
2nd (WTKR) W (23) T (20) K (11) R (18)
3rd (VUIT) V (22) U (21) I (9) T (20)
4th (?) ? ? ? ?
5th (TWEX) T (20) W (23) E (5) X (24)

Step-by-Step Pattern Analysis

Let's examine the progression of letters at each position:

  • 1st Letter Position: The sequence is X, W, V, ?, T. Their alphabetical positions are 24, 23, 22, ?, 20. The pattern is consistently subtracting 1 ($24 \\rightarrow 23 \\rightarrow 22$). Therefore, the next number should be $22 - 1 = 21$. The 21st letter is U.
  • 2nd Letter Position: The sequence is S, T, U, ?, W. Their alphabetical positions are 19, 20, 21, ?, 23. The pattern is consistently adding 1 ($19 \\rightarrow 20 \\rightarrow 21$). Therefore, the next number should be $21 + 1 = 22$. The 22nd letter is V.
  • 3rd Letter Position: The sequence is M, K, I, ?, E. Their alphabetical positions are 13, 11, 9, ?, 5. The pattern is consistently subtracting 2 ($13 \\rightarrow 11 \\rightarrow 9$). Therefore, the next number should be $9 - 2 = 7$. The 7th letter is G.
  • 4th Letter Position: The sequence is P, R, T, ?, X. Their alphabetical positions are 16, 18, 20, ?, 24. The pattern is consistently adding 2 ($16 \\rightarrow 18 \\rightarrow 20$). Therefore, the next number should be $20 + 2 = 22$. The 22nd letter is V.

Determining the Missing Cluster

By combining the letters determined for each position, we get the missing cluster:

  • 1st Letter: U
  • 2nd Letter: V
  • 3rd Letter: G
  • 4th Letter: V

Thus, the missing cluster is UVGV.

Conclusion

The analysis reveals distinct arithmetic patterns for each letter position in the series. Applying these patterns correctly leads to the cluster UVGV, which logically completes the given sequence.

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Important Questions from Alphabet Series

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