Refer to the following letter, symbol series and answer the question that follows. Counting to be done from left to right only. (Left) I A & @ @ # X % A N * @ W U # P $ U X & K Y (Right) How many such symbols are there, each of which is immediately preceded by a letter and also immediately followed by a symbol?
Identifying Symbols Preceded by Letter and Followed by Symbol
The question asks us to find the number of symbols in the given series that satisfy two conditions: they must be immediately preceded by a letter and immediately followed by another symbol. We need to examine the series from left to right.
Series: \(I A & @ @ # X % A N * @ W U # P \) U X & K Y$
Step-by-Step Analysis
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Scan the series character by character, looking for symbols.
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For each symbol found, check the character immediately before it and immediately after it.
- Condition 1: The preceding character must be a letter (A-Z).
- Condition 2: The succeeding character must be a symbol (@, #, %, *, $, &).
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Apply the conditions to the series:
- \(I A &\): '&' is a symbol. Preceded by 'A' (letter). Followed by '@' (symbol). Match! (Count = 1)
- \(A & @\): '@' is a symbol. Preceded by '&' (symbol). Fails condition 1.
- \(& @ @\): '@' is a symbol. Preceded by '@' (symbol). Fails condition 1.
- \(@ @ #\): '#' is a symbol. Preceded by '@' (symbol). Fails condition 1.
- \(X % A\): '%' is a symbol. Preceded by 'X' (letter). Followed by 'A' (letter). Fails condition 2.
- \(A N *\): '*' is a symbol. Preceded by 'N' (letter). Followed by '@' (symbol). Match! (Count = 2)
- \(N * @\): '@' is a symbol. Preceded by '*' (symbol). Fails condition 1.
- \(U # P\): '#' is a symbol. Preceded by 'U' (letter). Followed by 'P' (letter). Fails condition 2.
- \(P \) U\(: '\)' is a symbol. Preceded by 'P' (letter). Followed by 'U' (letter). Fails condition 2.
- \(X & K\): '&' is a symbol. Preceded by 'X' (letter). Followed by 'K' (letter). Fails condition 2.
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The symbols that meet both criteria are '&' (after A) and '*' (after N).
Final Count
There are exactly 2 such symbols in the series that are immediately preceded by a letter and immediately followed by a symbol.
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