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In the given letter series how many Ps a...

In the given letter series how many Ps are there each of which immediately preceded by 'R', but not immediately followed by 'P' ?
PRPORPSTPOSRPRQRSPR

A

4

B

3

C

2

D

1

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to identify how many 'P's in the given series are immediately preceded by 'R' and not immediately followed by 'P'. Let's break down the steps: ### Step-by-Step Solution: 1. **Identify the Series**: The given letter series is PRPORPSTPOSRPRQRSPR. 2. **Locate 'P's**: We will scan through the series to find all occurrences of the letter 'P'. 3. **Check Preceding Letter**: For each 'P' found, we will check if it is immediately preceded by 'R'. 4. **Check Following Letter**: For each 'P' that is preceded by 'R', we will check if it is immediately followed by 'P'. 5. **Count Valid 'P's**: We will count those 'P's that meet both conditions: preceded by 'R' and not followed by 'P'. Now, let's analyze the series step by step: - **Position 1**: P (not preceded by R) - **Position 2**: R (not a P) - **Position 3**: P (preceded by R, but followed by P) - **Not counted** - **Position 4**: O (not a P) - **Position 5**: R (not a P) - **Position 6**: P (preceded by R, followed by S) - **Counted** - **Position 7**: S (not a P) - **Position 8**: T (not a P) - **Position 9**: P (not preceded by R) - **Position 10**: O (not a P) - **Position 11**: S (not a P) - **Position 12**: R (not a P) - **Position 13**: P (preceded by R, followed by R) - **Not counted** - **Position 14**: Q (not a P) - **Position 15**: R (not a P) - **Position 16**: S (not a P) - **Position 17**: P (preceded by R, followed by nothing) - **Counted** ### Summary of Findings: - The valid 'P's are: - Position 6: P (preceded by R, followed by S) - Position 17: P (preceded by R, followed by nothing) ### Final Count: Thus, there are **2 valid 'P's** in the series that are immediately preceded by 'R' but not immediately followed by 'P'.
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