Question

Difficulty: EasyNumber and Alphabet Series

What is the next letter in the given alphabetical series: Z,X,V,T,R,Z, X, V, T, R, \dots?

  1. PPAnswer
  2. B
    QQ
  3. C
    OO
  4. D
    SS

Answer

The correct next letter in the sequence is PP.
Each term in the series moves backward by 2 steps in the standard English alphabet: Z(26)X(24)V(22)T(20)R(18)Z (26) \rightarrow X (24) \rightarrow V (22) \rightarrow T (20) \rightarrow R (18). Continuing this constant decrease of 2 leads to the 16th letter, which is PP.

Step-by-Step Solution

1
Determine the alphabetical positions of each given letter in the series
Z=26Z = 26, X=24X = 24, V=22V = 22, T=20T = 20, R=18R = 18
Converting letters to numerical positions helps reveal the mathematical pattern.
2
Identify the common difference between consecutive terms
2426=224 - 26 = -2, 2224=222 - 24 = -2, 2022=220 - 22 = -2, 1820=218 - 20 = -2
Each letter is obtained by moving 2 positions backward in the alphabet.
3
Apply the pattern to find the next position and letter
182=1618 - 2 = 16, which corresponds to the letter PP
Subtracting 2 positions from the 18th letter (RR) gives the 16th letter (PP).

Key Concept

Reverse Alphabetical Positional Shifts
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