(Left) 6 £ 2 @ % 7 8 # 1 3 * 9 $ & 4 ^ ≺ 5 (Right)
How many such symbols are there each of which is immediately preceded by an odd number but not immediately followed by an even number?
Symbol Series Analysis: Odd Preceded, Not Even Followed
Series Breakdown
The given number and symbol series is: $6 £ 2 @ % 7 8 # 1 3 * 9 $ & 4 ^ ≺ 5$
The task is to identify symbols that meet two conditions:
- Condition 1: The symbol must be immediately preceded by an odd number.
- Condition 2: The symbol must NOT be immediately followed by an even number.
Evaluating Symbols Against Conditions
We will check each symbol in the series:
- £: Preceded by 6 (even). Fails Condition 1.
- @: Preceded by 2 (even). Fails Condition 1.
- %: Preceded by @ (symbol). Fails Condition 1.
- #: Preceded by 8 (even). Fails Condition 1.
- *: Preceded by 3 (odd). Meets Condition 1. Followed by 9 (odd). Meets Condition 2 (as 9 is not even). This symbol counts.
- $: Preceded by 9 (odd). Meets Condition 1. Followed by & (symbol). Meets Condition 2 (as a symbol is not an even number). This symbol counts.
- &: Preceded by $ (symbol). Fails Condition 1.
- ^: Preceded by 4 (even). Fails Condition 1.
- ≺: Preceded by ^ (symbol). Fails Condition 1.
Final Count
The symbols meeting both criteria are * and $.
There are exactly Two such symbols.
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