Match the various types of impurities present in water in Group I with the appropriate water treatment process given in Group II.
\[\begin{array}{|c|c|} \hline \textbf{Group I} & \textbf{Group II} \\ \hline \text{P: Fine suspended matter} & \text{1: Aeration} \\ \hline \text{Q: Pathogenic bacteria} & \text{2: Plain sedimentation} \\ \hline \text{R: Color, odour and taste} & \text{3: Sedimentation with coagulation} \\ \hline \text{S: Floating matter as leaves} & \text{4: Screening} \\ \hline & \text{5: Disinfection} \\ \hline \end{array}\]
Step 1: Understand the types of impurities.
- Fine suspended matter: This typically refers to particles that are small and cannot easily settle without coagulation. Hence, P corresponds to 5: Disinfection (typically involves removal of these particles).
- Pathogenic bacteria: These require disinfection for removal, which makes Q correspond to 5: Disinfection.
- Color, odour and taste: This impurity is typically removed using sedimentation with coagulation. Hence, R matches with 3: Sedimentation with coagulation.
- Floating matter as leaves: The simplest treatment for leaves and large particles is screening. Hence, S corresponds to 4: Screening.
Step 2: Final matching.
\[
P-5, Q-3, R-4, S-1
\]
This corresponds to option (D).
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches, and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?
In a regular semi-circular arch of 2 m clear span, the thickness of the arch is 30 cm and the breadth of the wall is 40 cm. The total quantity of brickwork in the arch is _______ m\(^3\). (rounded off to two decimal places)
