How many '7's are preceded by 9 and followed by 6 in the given series?

![Screenshot 2025-04-07 190731.png](https://res.cloudinary.com/aptidude/image/upload/v1744033065/aptidude_questions/bmo8ucvt2sdgkufgzv2m.png)

Question

How many '7's are preceded by 9 and followed by 6 in the given series?

![Screenshot 2025-04-07 190731.png](https://res.cloudinary.com/aptidude/image/upload/v1744033065/aptidude_questions/bmo8ucvt2sdgkufgzv2m.png)

Accepted Answer

The given series is:  
$$ 7, 8, 9, 7, 6, 5, 3, 4, 2, 8, 9, 7, 2, 4, 5, 9, 2, 9, 7, 6, 4, 7 $$

We need to count how many '7's are **preceded by a '9' and followed by a '6'**.

Step-by-step process:  
1. Identify all occurrences of '7' in the series.  
2. Check if each '7' has a '9' immediately before it and a '6' immediately after it.

Occurrences:  
- The first valid pattern is **9, 7, 6** at positions (3rd to 5th).  
- The second valid pattern is **9, 7, 6** at positions (18th to 20th).

Thus, there are **2 such occurrences**.

Hence, the correct answer is **(d) 2**.

Answer

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