Difficulty: Medium
Correct Answer: ZYxW
Explanation:
Introduction / Context:
This is a more advanced alphabet series question because it combines two patterns at once. First, the letters in each group follow a clear sequence in the alphabet. Second, the position of the lowercase letter within each four letter group changes in a regular cycle. To solve it, you must understand both patterns and extend them correctly.
Given Data / Assumptions:
Series terms:
YXWv
TSrQ
OnML
jIHG
EDCb
We need to find the next four letter group.
We assume that case differences (uppercase versus lowercase) are part of the pattern and that the alphabetical order applies to letters regardless of case for position calculations.
Concept / Approach:
The first pattern concerns the three leading letters of each group, which form descending sequences. The fourth letter also participates in a stepwise pattern. The second pattern concerns where the lowercase letter appears in each group. By analysing both, we can compute the next set of letters and decide where the single lowercase letter should be placed.
Step-by-Step Solution:
Step 1: Consider the first three letters of each group ignoring case: YXW, TSr, OnM, jIH, EDC. In numeric form, these become sequences 25, 24, 23; 20, 19, 18; 15, 14, 13; 10, 9, 8; 5, 4, 3. Each triple is a descending group of three consecutive letters.
Step 2: Note the starting letters of these triples: Y(25), T(20), O(15), J(10), E(5). The difference between these starting positions is consistently minus five. So the next starting letter should be at position 5 minus 5, which wraps to 0 and then to 26, giving Z.
Step 3: The next three letter triple in descending order starting from Z is Z, Y, X.
Step 4: Observe the final letters of each group: v, Q, L, G, b. Positions (ignoring case) are 22, 17, 12, 7, 2, which also decrease by five each time. The next value is 2 minus 5 which wraps to 23, corresponding to W.
Step 5: Now examine the position of the lowercase letter within each four letter group. The lowercase letters v, r, n, j, and b appear at positions 4, 3, 2, 1, and 4 respectively. This forms a repeating cycle 4, 3, 2, 1, 4, so the next should have the lowercase letter at position 3.
Step 6: Combine the alphabet pattern and case rotation. The letters should be Z, Y, X, W with alphabetical pattern, and the third letter should be lowercase. This yields ZYxW.
Verification / Alternative check:
We can quickly check each option. Only ZYxW has letters Z, Y, X, W in the correct order and places the lowercase letter at the third position, which continues the 4, 3, 2, 1, 4, 3 pattern. The other options either use incorrect letters or position the lowercase letter in the wrong place, breaking one or both of the patterns.
Why Other Options Are Wrong:
YXwV and YxWV: These do not continue the decreasing triple plus decreasing final letter rule and use the wrong overall letter set.
XwVU: The letters here are not Z, Y, X, W and do not match the required sequences.
ZWxY: This arrangement has mixed order for the letters and also misaligns the pattern of descending triples.
Common Pitfalls:
A common mistake is to ignore the case rotation and focus only on the letter sequence, or to treat the lowercase letter position as random decoration. Another error is to miscalculate the five step decreases in the starting and ending letters. Correct solutions require careful tracking of both the letter values and the moving lowercase position.
Final Answer:
The group that correctly continues the mixed pattern is ZYxW.
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