The next term of the series BCYX, EFVU, HISR, KLPO, ………. is

The next term of the series BCYX, EFVU, HISR, KLPO, ………. is

NOML
NOLM
ONML
ONLM
This question was previously asked in
UPSC CAPF – 2019
The correct answer is A) NOML.
Let’s analyze the pattern of the letters in each group based on their position in the English alphabet (A=1, B=2, … Z=26).
BCYX: (2, 3, 25, 24)
EFVU: (5, 6, 22, 21)
HISR: (8, 9, 19, 18)
KLPO: (11, 12, 16, 15)

Let’s look at the sequence of positions for each position in the four-letter group:
1st letter: 2, 5, 8, 11. This is an arithmetic progression with a common difference of +3. The next term is 11 + 3 = 14 (N).
2nd letter: 3, 6, 9, 12. This is an arithmetic progression with a common difference of +3. The next term is 12 + 3 = 15 (O).
3rd letter: 25, 22, 19, 16. This is an arithmetic progression with a common difference of -3. The next term is 16 – 3 = 13 (M).
4th letter: 24, 21, 18, 15. This is an arithmetic progression with a common difference of -3. The next term is 15 – 3 = 12 (L).

Combining the next letters based on the pattern: N O M L.
Thus, the next term in the series is NOML.

Series problems often involve sequences based on alphabetical order, arithmetic progressions, skipping letters, reversing sequences, or combinations thereof. Analyzing the positions of letters is a common method to identify the underlying pattern.