If CGKQW and BFJPV are two five letter sequences that follow the same alphabetical logic, which of the following options represents another five letter sequence built on a similar pattern?

Difficulty: Medium

Correct Answer: DHLRX

Explanation:


Introduction / Context:
This question is about recognising a numerical pattern hidden inside groups of letters. The goal is to detect how the positions of letters in the English alphabet change from one letter to the next inside a sequence, and then find a new sequence that follows an identical pattern. Such problems are routine in alphabet test sections of aptitude examinations.


Given Data / Assumptions:
Two example sequences are given:
CGKQW
BFJPV
We must find a third sequence from the options that follows the same internal pattern.
We assume standard alphabet positions: A is 1, B is 2, and so on up to Z which is 26.


Concept / Approach:
The key idea is to convert each letter to its numeric position and then calculate the differences between consecutive letters inside the same sequence. If both example sequences share the same pattern of differences, then the correct answer must reproduce this same pattern. We then test each option to see which one matches.


Step-by-Step Solution:
Step 1: Convert CGKQW to numbers: C is 3, G is 7, K is 11, Q is 17, W is 23. Step 2: Compute differences: 7 minus 3 is 4, 11 minus 7 is 4, 17 minus 11 is 6, 23 minus 17 is 6. So the pattern is +4, +4, +6, +6. Step 3: Convert BFJPV to numbers: B is 2, F is 6, J is 10, P is 16, V is 22. The differences are 6 minus 2 is 4, 10 minus 6 is 4, 16 minus 10 is 6, 22 minus 16 is 6. This confirms the same +4, +4, +6, +6 pattern. Step 4: Test the option DHLRX: D is 4, H is 8, L is 12, R is 18, X is 24. The differences are 8 minus 4 is 4, 12 minus 8 is 4, 18 minus 12 is 6, 24 minus 18 is 6. Step 5: DHLRX follows exactly the same +4, +4, +6, +6 pattern, so it fits the same logic as the two example sequences.


Verification / Alternative check:
We can quickly check the other options. VPCFT and CFKNT do not show a consistent +4, +4, +6, +6 pattern when converted to numbers. That confirms that DHLRX is unique in matching the pattern. Therefore it is the correct choice, and the option None of these is not valid.


Why Other Options Are Wrong:
VPCFT: The numeric differences between its letters are irregular and do not follow +4, +4, +6, +6.
CFKNT: When converted to numbers, this option has mixed differences that are not identical to the target pattern.
None of these: This is incorrect because DHLRX clearly matches the established pattern.
CFKPV: This added decoy also fails to match the exact pattern of differences observed in the example sequences.


Common Pitfalls:
Many students attempt to guess visually by looking only at the letters and not at their positions. Others may calculate some differences correctly but stop early and miss that they need to match all internal steps, not just the first one. Always compute all successive differences in each candidate sequence before deciding.


Final Answer:
The sequence that follows the same pattern as CGKQW and BFJPV is DHLRX.

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