In the letter series GLP, HNR, IPT, JRV, which of the following triplets should come next to extend the pattern correctly?

Introduction / Context:
This question gives a series of three letter groups where each position changes according to its own rule. The challenge is to detect separate numeric progressions for each position. Such questions help you practise handling three simultaneous sequences, a skill that is useful for solving advanced alphabet and coding decoding problems in competitive examinations.

Given Data / Assumptions:
- Given series: GLP, HNR, IPT, JRV, ? - Each term is a three letter triplet. - A consistent progression is assumed for each letter position. - We use A = 1, B = 2, ..., Z = 26 for numeric analysis.

Concept / Approach:
The standard method is to split the series into three parallel sequences: first letters only, second letters only, and third letters only. We then convert letters into numbers and calculate the difference between consecutive elements in each sequence. As soon as a simple pattern emerges, such as a constant increase, we can extrapolate the next term. After solving for all three positions, we convert the predicted numbers back to letters to build the missing triplet.

Step-by-Step Solution:
Step 1: Convert all letters to positions. GLP: G (7), L (12), P (16). HNR: H (8), N (14), R (18). IPT: I (9), P (16), T (20). JRV: J (10), R (18), V (22). Step 2: First letters sequence: G, H, I, J. Positions: 7, 8, 9, 10. This clearly increases by +1 each step. Next first letter: 10 + 1 = 11, which is K. Step 3: Second letters sequence: L, N, P, R. Positions: 12, 14, 16, 18. This sequence increases by +2 each time. Next second letter: 18 + 2 = 20, which is T. Step 4: Third letters sequence: P, R, T, V. Positions: 16, 18, 20, 22. Again we see a constant increase of +2. Next third letter: 22 + 2 = 24, which is X. Step 5: Combine the three predicted letters. First letter K, second letter T, third letter X produce KTX.

Verification / Alternative check:
If we summarise, the first letters form a +1 series (7, 8, 9, 10, 11), while both the second and third letters form +2 series (12, 14, 16, 18, 20 and 16, 18, 20, 22, 24). These patterns are neat and consistent, which matches the style of well designed aptitude questions. Among the options, only KTX uses K as the first letter and T, X in the second and third positions, thereby respecting both progressions. This confirms that KTX is the only term that can extend the series correctly.

Why Other Options Are Wrong:
A) KUY would require second and third letters to be 21 and 25, which do not match the +2 sequences. B) KWA has correct first letter K but incorrect second and third letters for the established pattern. D) LVZ begins with L instead of K and so fails even on the first position progression.

Common Pitfalls:
Some test takers may observe that the second and third letters also increase but fail to compute exact steps, leading them to select visually similar but incorrect options. Another mistake is to assume that all three positions must share the same step size, when in fact the first position uses +1 while the others use +2. To avoid such errors, always measure the exact numeric difference rather than relying on rough spacing or partial patterns.

Final Answer:
The triplet that correctly completes the series GLP, HNR, IPT, JRV, ? is KTX.