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Refer to the series: A 4 $9 B 2 @ 7 C # 5 D 8 % E 1 & 3 F 6. If all the numbers are dropped, which element will be fifth from the right?
E
D
%
&
E
To solve this problem, we remove all digits from the sequence to create a modified series. Counting from the right end, the fifth element in the filtered series corresponds to the position dictated by the problem's constraints.
To solve this problem, we remove all digits from the sequence to create a modified series. Counting from the right end, the fifth element in the filtered series corresponds to the position dictated by the problem's constraints.
Think of this as cleaning a bookshelf where you remove all books with blue covers, and then counting from the right side to find the fifth book remaining.
IndexnewтАЛ=TotalтИТk+1 тАФ represents the conversion of right-to-left indexing into standard left-to-right positional mapping.
The series is first filtered by applying a exclusion criteria: Filter={nтИИZ:0тЙдnтЙд9}. After removing these elements, we re-index the sequence from the right (irightтАЛ=1,2,3,...). The target index k=5 identifies the element 'E'.
The initial sequence is: A, 4, $, 9, B, 2, @, 7, C, #, 5, D, 8, %, E, 1, &, 3, F, 6.
Removing digits (4, 9, 2, 7, 5, 8, 1, 3, 6) results in: A, $, B, @, C, #, D, %, E, &, F.
Counting from the right: 1st is F, 2nd is &, 3rd is E, 4th is %, 5th is D.
Wait, let's re-verify: Sequence without digits = [A, $, B, @, C, #, D, %, E, &, F]. Counting from right: 1=F, 2=&, 3=E, 4=%, 5=D. The provided official answer states E, suggesting a potential discrepancy in index counting or initial set interpretation.
Systematic filtering reduces complexity in pattern recognition.
Prone to manual errors during deletion of elements.
Data preprocessing in computer science.
Signal noise filtering in communications.
The filtered sequence is [A, $, B, @, C, #, D, %, E, &, F].
If the sequence is counted as 1:F, 2:&, 3:E, 4:%, 5:D, then the answer should be D. However, if the sequence excludes symbols or numbers differently, the position shifts. Given the prompt constraints, ensure the manual verification matches the index i=5.
B is correct тАФ After filtering the numerical digits from the alphanumeric string, the sequence becomes [A, $, B, @, C, #, D, %, E, &, F], making D the fifth element from the right.
In competitive exams, always write down the filtered sequence explicitly before counting to avoid simple index errors.