Refer to the following number, symbol series and answer the question. Counting to be done from left to right only. All numbers are single-digit numbers. (Left) @ 8 1 < 2 + + > 6 # \ * 7 & + * * 3 3 $ 2 (Right) How many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?
Analyzing the Number Symbol Series
The given series is: $@ 8 1 < 2 + + > 6 # \* 7 & + \* \* 3 3 $ 2$.
We need to find numbers that satisfy two conditions simultaneously:
- They must be immediately preceded by a symbol.
- They must be immediately followed by a symbol.
Let's examine each number in the series from left to right:
- 8: Preceded by '@' (symbol), followed by '1' (number). Condition failed (not followed by a symbol).
- 1: Preceded by '8' (number), followed by '<' (symbol). Condition failed (not preceded by a symbol).
- 2: Preceded by '<' (symbol), followed by '+' (symbol). Condition met.
- 6: Preceded by '>' (symbol), followed by '#' (symbol). Condition met.
- 7: Preceded by '\*' (symbol), followed by '&' (symbol). Condition met.
- 3: Preceded by '\*' (symbol), followed by '3' (number). Condition failed (not followed by a symbol).
- 3: Preceded by '3' (number), followed by '$' (symbol). Condition failed (not preceded by a symbol).
- 2: Preceded by '$' (symbol), followed by the end of the series. Condition failed (not followed by a symbol).
Counting the Numbers
The numbers that meet both conditions are 2, 6, and 7.
Therefore, there are 3 such numbers in the series.
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