In the alphabet series BXM, EUP and HRS, one more three-letter term is missing. Which of the following options correctly continues the pattern?

Introduction / Context:
This is an alphabet series problem where each term consists of three letters. The series BXM, EUP, HRS, ? demands that we recognise how every position within the triplets changes from one term to the next. Such questions strengthen a candidate's familiarity with the alphabet as a number line and their ability to track multiple patterns simultaneously, since the first, second and third letters may each follow a different rule.

Given Data / Assumptions:

• Given series: BXM, EUP, HRS, ?.• Each term has three capital letters.• The first letters form the series: B, E, H.• The second letters form: X, U, R and the third letters form: M, P, S.

Concept / Approach:
We convert each letter to its numerical position: A=1, B=2, ..., Z=26. By inspecting the first letters separately from the second and third letters, we can see whether each sub-series is increasing by a fixed number or following another regular pattern. When we detect that the first letters share one constant step and the second and third letters share another, we can apply these differences to predict the missing term correctly.

Step-by-Step Solution:
First letters: B=2, E=5, H=8. The difference is +3 each time (5 − 2 and 8 − 5).Thus the next first letter = 8 + 3 = 11, which is K.Second letters: X=24, U=21, R=18. The difference here is −3 each time.So the next second letter = 18 − 3 = 15, which is O.Third letters: M=13, P=16, S=19. The pattern is +3 each time.Hence the next third letter = 19 + 3 = 22, which is V.Combining these, the missing term is KOV.

Verification / Alternative check:
We can list the series numerically as (2,24,13), (5,21,16), (8,18,19) and next (11,15,22). Each position clearly follows the same arithmetic progression: first letters +3, second letters −3, third letters +3. No other option preserves all three patterns at once. This cross-check strongly confirms that KOV is the only correct continuation.

Why Other Options Are Wrong:
XZY, RPN and VTU all break at least one of the established patterns. For example, VTU would require the second letter to rise instead of decreasing by 3, and XZY changes all three positions in ways that do not match the observed steps. Since the rule is strictly numeric and consistent, any option that fails even one position cannot be accepted as correct.

Common Pitfalls:
Many learners look only at the first letters and ignore the second or third positions. This can make a wrong option appear correct at first glance. Another error is to guess based on approximate visual similarity rather than exact positional differences. The safest approach is always to convert letters to numbers and calculate the precise steps involved.

Final Answer:
KOV